Electrodynamics and Electrical Circuits
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Questions and Answers

Electrodynamics primarily deals with the interactions between which of the following?

  • Sound waves and fluid dynamics.
  • Heat and light.
  • Electric currents and magnetic fields. (correct)
  • Gravity and inertia.

According to Ohm's Law, if the resistance in a circuit doubles while the voltage remains constant, what happens to the current?

  • The current remains the same.
  • The current quadruples.
  • The current is halved. (correct)
  • The current doubles.

Which of the following is the best analogy for illustrating a simple electric circuit?

  • A system of gears.
  • A series of levers.
  • A water pump circulating water through pipes. (correct)
  • A swinging pendulum.

If a wire carries a steady current of 2A for 10 minutes, what is the total charge that passes through a point in the circuit during this time?

<p>1200 Coulombs (B)</p> Signup and view all the answers

What effect does increased electrical resistance have on the electric current, given a constant voltage?

<p>Decreases the electric current. (C)</p> Signup and view all the answers

An electrician receives a mild shock when a current of 0.005A passes through him at 220V. Later, a current of 0.30A at 220V proves fatal. What is the approximate resistance of the electrician during the mild shock?

<p>44,000 $\Omega$ (B)</p> Signup and view all the answers

A voltmeter reads 12.0V and an ammeter reads 5A across a rheostat. If the resistance is then tripled, what will the ammeter reading be?

<p>1.67A (A)</p> Signup and view all the answers

A truck battery uses 50A for 30 seconds to start the engine. Approximately how many electrons pass through the circuit during this time?

<p>$9.38 \times 10^{21}$ electrons (D)</p> Signup and view all the answers

If the electrical resistance of a wire increases, what adjustments could be made to maintain the same electric current, assuming all other factors remain constant?

<p>Increase the voltage. (B)</p> Signup and view all the answers

A wire carries a steady current. If the number of charge carriers passing through a given point increases while the time interval decreases proportionally, what happens to the electric current?

<p>The current increases. (A)</p> Signup and view all the answers

How does increasing the length of a conducting wire typically affect its electrical resistance?

<p>Increases the resistance. (D)</p> Signup and view all the answers

How does increasing the cross-sectional area of a conducting wire affect its electrical resistance, assuming all other factors remain constant?

<p>Decreases the resistance. (B)</p> Signup and view all the answers

What is the standard SI unit for measuring electrical resistance?

<p>Ohm (A)</p> Signup and view all the answers

A copper wire with a specific diameter is replaced by another copper wire of the same length but with half the diameter. How would this change affect the resistance of the wire?

<p>The resistance will be four times greater. (C)</p> Signup and view all the answers

A wire of a certain material has a resistance of $R$. If both the length and the cross-sectional area of the wire are doubled, what will be the new resistance?

<p>$R$ (D)</p> Signup and view all the answers

A heating element in a toaster is rated at 110 V and 1100 W. What is the resistance of the heating element?

<p>11 Ohms (C)</p> Signup and view all the answers

A device with a resistance of $12 \Omega$ dissipates $300 W$. What is the current flowing through the device?

<p>5 Amperes (A)</p> Signup and view all the answers

In a series circuit, what happens if one of the components fails and breaks the circuit?

<p>The entire circuit stops functioning. (C)</p> Signup and view all the answers

In a parallel circuit, how does the addition of more resistors affect the overall current drawn from the source?

<p>The total current increases. (A)</p> Signup and view all the answers

What is a key advantage of a parallel circuit compared to a series circuit regarding the functionality of its components?

<p>If one component fails in a parallel circuit, the other components can still operate. (D)</p> Signup and view all the answers

Why does increased current in a wire lead to a hotter wire?

<p>Increased current means faster-moving electrons, leading to more frequent collisions and energy dissipation as heat. (D)</p> Signup and view all the answers

What is the main advantage of wiring Christmas tree lights in parallel rather than series?

<p>If one bulb fails in a parallel circuit, the remaining bulbs will continue to light. (C)</p> Signup and view all the answers

How can you determine if the lights in your house are wired in series or parallel?

<p>By unscrewing one light bulb; if all the other lights go out, they are wired in series. (C)</p> Signup and view all the answers

Three resistors with values of 2.0Ω, 3.0Ω, and 4.0Ω are connected in series. What is the equivalent resistance of the circuit?

<p>9.0 Ω (D)</p> Signup and view all the answers

Three resistors with values of 2.0Ω, 3.0Ω, and 4.0Ω are connected in parallel. What is the approximate equivalent resistance of the circuit?

<p>0.92 Ω (C)</p> Signup and view all the answers

A series circuit consists of a 12Ω, an 8Ω, a 25Ω, and an 18Ω resistor connected to a 75V power supply. What is the total current flowing through the circuit?

<p>1.19 A (C)</p> Signup and view all the answers

A parallel circuit consists of a 12Ω, an 8Ω, a 25Ω, and an 18Ω resistor connected to a 75V power supply. What is the total current supplied by the power source?

<p>22.28 A (A)</p> Signup and view all the answers

A parallel circuit has 12 ohm , 8 ohm , 25ohm , 18ohm and it powered by a 75V. What is the total voltage?

<p>75V (B)</p> Signup and view all the answers

What is a capacitor’s primary function in an electrical circuit?

<p>To store electrical energy by accumulating charge on its plates. (C)</p> Signup and view all the answers

A 4 Farad capacitor is connected across a 12 Volt battery. Determine the amount of charge stored on either plate of the capacitor.

<p>48 Coulombs (D)</p> Signup and view all the answers

A capacitor's capacitance is MOST directly influenced by which of the following factors?

<p>The area of the plates and the distance between them. (B)</p> Signup and view all the answers

If the distance between the plates of a capacitor is doubled, what happens to the capacitance, assuming all other factors remain constant?

<p>It halves. (C)</p> Signup and view all the answers

Three capacitors with capacitances of 2µF, 4µF, and 6µF are connected in series. What is the equivalent capacitance of the combination?

<p>1.09 µF (C)</p> Signup and view all the answers

If three capacitors, each with a capacitance of 3 µF, are connected in parallel, what is the total capacitance of the combination?

<p>9 µF (D)</p> Signup and view all the answers

A 2 µF capacitor is charged to a voltage of 100 V. What is the charge stored in the capacitor?

<p>200 µC (D)</p> Signup and view all the answers

A circuit contains a 4 µF and a 6 µF capacitor connected in series across a 120V source. What is the voltage across the 4 µF capacitor?

<p>72 V (A)</p> Signup and view all the answers

A 5 µF capacitor is charged to 24V. What is the energy stored in the capacitor?

<p>1.44 mJ (A)</p> Signup and view all the answers

A parallel plate capacitor has a capacitance of 10 µF with air as the dielectric. If a dielectric material with a dielectric constant of 3 is inserted between the plates, what will the new capacitance be?

<p>30 µF (A)</p> Signup and view all the answers

What primarily determines the maximum voltage that can be applied to a capacitor?

<p>The dielectric strength of the insulating material. (C)</p> Signup and view all the answers

A capacitor is fully charged and then disconnected from the voltage source. Ideally, what happens to the charge on the capacitor over time?

<p>The charge remains constant indefinitely. (B)</p> Signup and view all the answers

According to Ohm's Law, what remains constant when analyzing the relationship between voltage, current, and resistance in a simple circuit?

<p>The ratio of voltage to current (D)</p> Signup and view all the answers

In an electric circuit, what is the effect of increasing the electrical resistance, assuming the voltage remains constant?

<p>The electric current decreases. (D)</p> Signup and view all the answers

An electrician measures a current of 0.002A passing through their body when they touch a live wire at 220V. What is the resistance of the electrician's body in this situation?

<p>110,000 (A)</p> Signup and view all the answers

A voltmeter reads 6.0V and an ammeter reads 2A in a circuit. If the voltage is then doubled, what will the new ammeter reading be, assuming the resistance remains constant?

<p>4 A (D)</p> Signup and view all the answers

A car battery delivers 40A for 20 seconds to start the engine. Approximately how many electrons pass through the circuit during this process?

<p>$5.0 \times 10^{20}$ (C)</p> Signup and view all the answers

If the length of a conducting wire is doubled and its radius is halved, how does the resistance of the wire change, assuming the material remains the same?

<p>It increases by a factor of 8. (D)</p> Signup and view all the answers

A wire of a certain material has a resistance of R. If the wire is stretched to three times its original length while maintaining constant volume, what will be the new resistance?

<p>9R (C)</p> Signup and view all the answers

A heating element in a kettle is rated at 220 V and 2200 W. If the voltage drops to 110V, what will be the power consumed by the heating element, assuming its resistance remains constant?

<p>550 W (C)</p> Signup and view all the answers

In a circuit, a resistor dissipates 100 W of power when a current of 2A flows through it. What is the voltage across the resistor?

<p>50 V (D)</p> Signup and view all the answers

A parallel circuit consists of a 6 and a 12 resistor connected to a 12V power supply. What is the current flowing through the 6 resistor?

<p>2 A (B)</p> Signup and view all the answers

How does increasing the length of a conducting wire affect its electrical resistance?

<p>Increases the resistance. (D)</p> Signup and view all the answers

A wire is cut into 4 equal parts. If the original wire had a resistance of 25 ohms, what is the resistance of each piece?

<p>6.25 ohms (C)</p> Signup and view all the answers

What happens to the overall current in a parallel circuit when another resistor is added?

<p>The overall current increases. (B)</p> Signup and view all the answers

A parallel circuit has three resistors. If one of the resistors is removed, what happens to the current through the other two resistors?

<p>The current through the remaining resistors stays the same. (C)</p> Signup and view all the answers

A device with a power rating of 2200 W is connected to a 110 V power supply. What is its resistance?

<p>5.5 ohms (B)</p> Signup and view all the answers

A device dissipates 600 W of power with a resistance of 24 ohms. What is the current flowing through it?

<p>5 amps (A)</p> Signup and view all the answers

In a series circuit with multiple resistors, what remains the same across each resistor?

<p>Current. (D)</p> Signup and view all the answers

In a series circuit consisting of two light bulbs, one bulb burns out. What happens to the other bulb?

<p>The other bulb turns off. (C)</p> Signup and view all the answers

What happens to the temperature of a conducting wire as the resistance increases, assuming constant current?

<p>The wire heats up. (A)</p> Signup and view all the answers

A parallel plate capacitor has its plate area doubled and the distance between the plates halved. How does the capacitance change?

<p>Increases by a factor of 4 (D)</p> Signup and view all the answers

If the voltage across a capacitor is tripled while the capacitance is reduced to one-third of its original value, how does the stored charge change?

<p>The stored charge remains the same. (D)</p> Signup and view all the answers

Consider a circuit with several capacitors connected in a complex arrangement. If the equivalent capacitance of the entire circuit is known, what single measurement is sufficient to determine the total charge stored in the entire network?

<p>The voltage across the entire network. (D)</p> Signup and view all the answers

How does the energy stored in a capacitor change if both the capacitance and the voltage across it are doubled?

<p>The energy increases by a factor of eight (D)</p> Signup and view all the answers

A capacitor is charged to a certain voltage and then disconnected from the power source. If the plates are then pulled further apart, what happens to the charge and voltage?

<p>Charge remains the same, voltage increases (B)</p> Signup and view all the answers

How does increasing the dielectric constant of the material between the plates of a capacitor affect the capacitance and the potential difference (assuming constant charge)?

<p>Increases capacitance and decreases potential difference (A)</p> Signup and view all the answers

Imagine you have several identical capacitors. Which configuration will store the most energy for a given applied voltage: connecting them in series or in parallel?

<p>Parallel (A)</p> Signup and view all the answers

Capacitors of varying capacitances are connected in series. Which of the following statements is true regarding the charge on each capacitor?

<p>The charge is the same on all capacitors. (B)</p> Signup and view all the answers

A capacitor initially has a potential difference of V. If the charge on the plates is doubled while keeping the capacitance constant, what is the new potential difference?

<p>2V (A)</p> Signup and view all the answers

A fully charged capacitor is discharged through a resistor. Which of the following actions would most effectively increase the discharge time?

<p>Increasing the resistance and increasing the capacitance. (C)</p> Signup and view all the answers

Why is it generally better to wire Christmas tree lights in parallel rather than in series?

<p>If one bulb fails in parallel, the remaining bulbs continue to function. (D)</p> Signup and view all the answers

How can you determine whether the lights in your house are wired in series or parallel?

<p>Unplug one appliance; if everything else loses power, they are wired in series. (A)</p> Signup and view all the answers

A parallel circuit consists of a 6Ω, a 12Ω, and a 4Ω resistor connected to a 12V power supply. What is the current flowing through the 12Ω resistor?

<p>1A (B)</p> Signup and view all the answers

A series circuit contains a 5Ω resistor, a 10Ω resistor, and a 15Ω resistor. If the current through the 5Ω resistor is 2A, what is the voltage drop across the 15Ω resistor?

<p>30V (A)</p> Signup and view all the answers

A circuit consists of two resistors in parallel. Resistor 1 has a resistance of 10Ω, and the total current entering the parallel combination is 3A. If the current through resistor 1 is 2A, what is the value of resistor 2?

<p>20 Ω (B)</p> Signup and view all the answers

Consider a circuit where two resistors are connected in series, powered by a voltage source. If the first resistor doubles in resistance while the second resistor remains unchanged, what happens to the voltage drop across the first resistor?

<p>It decreases, but not necessarily by half. (D)</p> Signup and view all the answers

A parallel-plate capacitor is charged to a certain voltage and then disconnected from the voltage source. What happens to the charge on the capacitor if the distance between the plates is increased?

<p>The charge remains the same. (B)</p> Signup and view all the answers

What is the primary reason a fully charged capacitor can maintain its voltage even when disconnected from a circuit?

<p>The stored charge has no path to discharge through an open circuit. (D)</p> Signup and view all the answers

A capacitor with a capacitance of 2F is charged by a 10V battery. After it is fully charged, it is discharged through a 5Ω resistor. What is the maximum current that flows through the resistor during the discharge?

<p>2 A (B)</p> Signup and view all the answers

A 6 µF capacitor is charged to 100V and then discharged through a resistor. If the same capacitor is charged to only to 50V, how does this change affect the amount of energy that will be dissipated as heat when it discharges?

<p>The energy dissipated will be four times smaller. (B)</p> Signup and view all the answers

How does increasing the temperature of a conducting wire typically affect its electrical resistance?

<p>Increases electrical resistance. (B)</p> Signup and view all the answers

A wire of a certain material has a resistance of $R$. If the wire is stretched to twice its original length while maintaining constant volume, what will be the new resistance?

<p>$4R$ (A)</p> Signup and view all the answers

A heating element in a kettle is rated at 220 V and 1100 W. If the voltage is increased to 440V, what will be the power consumed by the heating element, assuming its resistance remains constant?

<p>4400 W (D)</p> Signup and view all the answers

In a circuit, a resistor with a value of $10\Omega$ has a potential difference of 5V across it. What is the power dissipated by the resistor?

<p>2.5 W (B)</p> Signup and view all the answers

If the resistance of a circuit is constant and the voltage is doubled, what happens to the power dissipated by the circuit?

<p>It quadruples. (A)</p> Signup and view all the answers

A parallel circuit consists of a $6\Omega$ and a $12\Omega$ resistor connected to a 12V power supply. What is the total current supplied by the power source?

<p>3 A (C)</p> Signup and view all the answers

In a series circuit, if the current is 2A and the voltage source is 12V, what is the equivalent resistance of the circuit?

<p>6 ohms (D)</p> Signup and view all the answers

What is the primary difference in how components are connected in a series circuit versus a parallel circuit?

<p>Series circuits have components connected end to end, while parallel circuits have them connected side by side. (D)</p> Signup and view all the answers

In a parallel circuit with multiple resistors, what happens to the total resistance of the circuit as more resistors are added in parallel?

<p>The total resistance decreases. (A)</p> Signup and view all the answers

A device operates at 120 V and draws a current of 5 A. If the voltage drops to 110 V, how does the power consumption of the device change, assuming the resistance remains constant?

<p>Decreases (B)</p> Signup and view all the answers

If the area of the plates of a parallel plate capacitor is increased while all other factors remain constant, what happens to the capacitance?

<p>The capacitance increases. (D)</p> Signup and view all the answers

A parallel plate capacitor has a certain capacitance. If the separation between the plates is increased, how is the capacitance affected, assuming all other factors remain constant?

<p>The capacitance decreases. (A)</p> Signup and view all the answers

In the equation $q = CV$, what does 'C' represent?

<p>Capacitance (C)</p> Signup and view all the answers

If three capacitors are connected in series, what is true about the charge on each capacitor?

<p>The charge is the same on each capacitor. (A)</p> Signup and view all the answers

If three capacitors are connected in parallel, what is true about the voltage across each capacitor?

<p>The voltage is the same across each capacitor. (C)</p> Signup and view all the answers

A circuit has two capacitors in series, one with 6 µF and another with 10 µF, and the total charge of the circuit is 600 µC. What is the voltage across the 6 µF capacitor?

<p>100V (B)</p> Signup and view all the answers

A circuit has three capacitors in parallel, one with 8F, another with 4F and a third with 2F. If the supply voltage is 37.5V, what is the charge on the 4F Capacitor?

<p>150 C (B)</p> Signup and view all the answers

What is the formula for calculating the energy (E) stored in a capacitor in terms of charge (q) and capacitance (C)?

<p>All of the above (D)</p> Signup and view all the answers

If you double the voltage across a capacitor and reduce its capacitance by half, what happens to the energy stored in the capacitor?

<p>The energy is doubled. (C)</p> Signup and view all the answers

A capacitor has a charge of 2500 C on each plate. If the energy stored in the capacitor is not given, but you calculate the voltage to be 71V, what is the next step to find the energy stored in the capacitor?

<p>Multiply one-half, the charge, and the voltage. (B)</p> Signup and view all the answers

Electrodynamics explores phenomena primarily related to which of the following interactions?

<p>Interactions between electric currents, magnets, and electric charges. (A)</p> Signup and view all the answers

What is the fundamental relationship described by Ohm's Law?

<p>The current in a circuit is directly proportional to the voltage and inversely proportional to the resistance. (C)</p> Signup and view all the answers

In a simple electric circuit, what component is analogous to a water pump in a water flow system?

<p>Voltage source (C)</p> Signup and view all the answers

What is the effect of increased electrical resistance on the current in a circuit, assuming a constant voltage supply?

<p>The current decreases inversely. (C)</p> Signup and view all the answers

An electrician receives a mild shock from a 220V source with a current of 0.005A. Later, a current of 0.30A from the same source proves fatal. What is the difference in resistance between the two scenarios?

<p>Approximately 43,560 ohms (A)</p> Signup and view all the answers

A circuit has a voltmeter reading of 12V and an ammeter reading of 5A. If the resistance is then halved, what is the new current reading on the ammeter?

<p>10 A (C)</p> Signup and view all the answers

A car battery delivers 60A for 45 seconds to start the engine. How many electrons approximately pass through the circuit during this interval?

<p>$1.69 \times 10^{22}$ (B)</p> Signup and view all the answers

How would increasing the temperature of most conductors affect their electrical resistance?

<p>Resistance increases. (C)</p> Signup and view all the answers

A wire carries a current of 5A for 2 minutes. What is the total charge that passes through a point in the wire during this time?

<p>600 Coulombs (D)</p> Signup and view all the answers

If a conductor's length is doubled and its cross-sectional area is halved, how does the resistance change?

<p>It is quadrupled. (A)</p> Signup and view all the answers

How can one practically determine whether the lights in a house are wired in series or in parallel, without directly observing the wiring?

<p>Observe what happens when one light bulb is turned off; if all other lights go out, it suggests series wiring. (C)</p> Signup and view all the answers

Three resistors with values of 5.0, 10.0, and 15.0 are connected in series. If a 12V power supply is connected to this series circuit, what is the current flowing through the 10.0 Ω resistor?

<p>0.4 A (D)</p> Signup and view all the answers

Three resistors with values of 5.0, 10.0, and 15.0 are connected in parallel across a 12V power supply. What is the total current supplied by the power source?

<p>5.4 A (B)</p> Signup and view all the answers

A series circuit consists of a 6 resistor and a 12 resistor connected to a 36V power supply. What is the voltage drop across the 12 resistor?

<p>24 V (B)</p> Signup and view all the answers

A parallel circuit consists of a 6 resistor and a 12 resistor connected to a 36V power supply. What is the current flowing through the 6 resistor?

<p>6 A (C)</p> Signup and view all the answers

A circuit is constructed with a combination of series and parallel resistors. If one of the resistors in the parallel branch is removed, what effect does this have on the total resistance of the circuit?

<p>The total resistance increases. (A)</p> Signup and view all the answers

What is the primary function of a capacitor in an electrical circuit?

<p>To store electrical energy. (A)</p> Signup and view all the answers

A 6 F capacitor is connected across a 24V battery. What is the amount of charge stored on either plate of the capacitor?

<p>144 C (B)</p> Signup and view all the answers

A fully charged capacitor is disconnected from a voltage source. If the distance between the plates is then increased, what happens to the voltage between the plates, assuming the charge remains constant?

<p>The voltage increases. (D)</p> Signup and view all the answers

A copper wire is replaced by another copper wire of the same length but with a larger diameter. How would this change affect the resistance of the wire?

<p>Resistance Decreases (C)</p> Signup and view all the answers

A wire is stretched to twice its original length. How does this affect its resistance, assuming the volume and material of the wire remain constant?

<p>Resistance quadruples (A)</p> Signup and view all the answers

A heating element in a kettle is rated at 220 V and 2200 W. If the voltage increases to 440V, what will happen to the power consumed by the heating element, assuming its resistance remains constant?

<p>Increase to 8800W (A)</p> Signup and view all the answers

In a series circuit with multiple resistors, what quantity remains the same across each resistor?

<p>Current (C)</p> Signup and view all the answers

If the wire is cut into 4 equal parts. It is then arranged in parallel, how does the resistance change in comparison to the original?

<p>1/16 of original (B)</p> Signup and view all the answers

In a parallel circuit, if one of the resistors is removed, what happens to the current through the other resistors, assuming the voltage source remains constant?

<p>Stays the same (C)</p> Signup and view all the answers

A parallel circuit consists of a 6Ω and a 12Ω resistor connected to a 12V power supply. What is the total current supplied by the power source?

<p>3A (D)</p> Signup and view all the answers

What fundamental relationship does Ohm's Law describe?

<p>The direct proportionality between voltage and current for a given resistance. (B)</p> Signup and view all the answers

In the water pump analogy for an electric circuit, what corresponds to the role of voltage?

<p>The pressure difference created by the pump. (D)</p> Signup and view all the answers

If a conductor's resistance is increased while the voltage applied remains constant, what effect does this have on the electric current?

<p>The electric current decreases. (C)</p> Signup and view all the answers

An electrician experiences a mild shock when a current of 0.005A passes through his body at 220V. What is the resistance of his body under these conditions?

<p>44000 ohms (C)</p> Signup and view all the answers

A rheostat has an initial resistance that allows a current of 5A when a voltage of 12.0V is applied. If the resistance is tripled, what will the new current be?

<p>1.67 A (B)</p> Signup and view all the answers

During the start-up of a truck engine, the battery delivers 50A for 30 seconds. Approximately how many electrons pass through the circuit during this time?

<p>$9.4 imes 10^{20}$ electrons (A)</p> Signup and view all the answers

A wire carries a steady current of 2.5A for 4.0 minutes. What is the total charge that passes through a given point in the circuit during this time?

<p>600 Coulombs (C)</p> Signup and view all the answers

What is the primary effect of increased electrical resistance in a circuit, assuming a constant voltage?

<p>Decreased current flow (C)</p> Signup and view all the answers

How many electrons are transferred if a steady current of 2.5A exists in a wire for 4.0 minutes?

<p>$3.8 imes 10^{21}$ (C)</p> Signup and view all the answers

Electrodynamics is best described as the study of:

<p>The interactions of electric currents with magnets and other currents. (B)</p> Signup and view all the answers

In a circuit with multiple resistors, why does the total current increase when resistors are arranged in parallel rather than in series?

<p>Because the equivalent resistance decreases, allowing more current to flow for the same voltage. (A)</p> Signup and view all the answers

Why is it generally preferable to connect Christmas tree lights in parallel rather than in series?

<p>If one bulb fails in a parallel circuit, the remaining bulbs continue to operate. (B)</p> Signup and view all the answers

How can you experimentally determine whether the lights in your house are wired in series or parallel?

<p>By observing what happens to the other lights when one light bulb is removed or burns out. (A)</p> Signup and view all the answers

Three resistors with values of 5.0, 10.0, and 15.0 are connected in series. If a 12V power supply is connected across them, what is the current through the 10.0 resistor?

<p>0.4 A (B)</p> Signup and view all the answers

Three resistors with values of 5.0, 10.0, and 15.0 are connected in parallel to a 12V power supply. What is the current flowing through the 5.0 resistor?

<p>2.4 A (A)</p> Signup and view all the answers

A series circuit consists of a 6, a 9, and a 15 resistor connected to a 60V power supply. What is the voltage drop across the 9 resistor?

<p>18 V (A)</p> Signup and view all the answers

A parallel circuit has a 12 resistor, an 8 resistor, and a 24 resistor powered by a 24V supply. What is the total current supplied by the power source?

<p>6.5 A (B)</p> Signup and view all the answers

A 3 F capacitor is charged to a voltage of 200 V. If the voltage is then increased to 400 V, how does the stored charge change?

<p>The stored charge doubles. (B)</p> Signup and view all the answers

If the area of the plates of a capacitor is tripled, what happens to the capacitance, assuming all other factors remain constant?

<p>The capacitance triples. (A)</p> Signup and view all the answers

If the separation between the plates of a capacitor is doubled, how is the capacitance affected, assuming all other factors remain constant?

<p>The capacitance is halved. (B)</p> Signup and view all the answers

A circuit has two capacitors in series with values of 6 µF and 10 µF. If the charge on the 6 µF capacitor is 600 µC, what is the voltage across the 10 µF capacitor?

<p>60V (A)</p> Signup and view all the answers

A circuit has three capacitors in parallel: 8F, 4F, and 2F. If the supply voltage is 37.5V, what is the charge on the 8F capacitor?

<p>300 C (D)</p> Signup and view all the answers

A capacitor with a charge of 2500 C has a potential difference of 71V between its plates. What is the energy stored in the capacitor?

<p>88.75 J (B)</p> Signup and view all the answers

If you double the voltage across a capacitor and halve its capacitance, what happens to the energy stored in the capacitor?

<p>The energy doubles. (D)</p> Signup and view all the answers

What happens to the total capacitance when capacitors are connected in series?

<p>The total capacitance is less than the smallest individual capacitance. (C)</p> Signup and view all the answers

In a parallel capacitor configuration, how do the charges ($q_1, q_2, q_3...$) on each capacitor relate to the total charge ($Q$)?

<p>The total charge $Q$ is the sum of the charges on the individual capacitors, such that $Q = q_1 + q_2 + q_3 + ...$ (A)</p> Signup and view all the answers

In an RC circuit with a single resistor and capacitor in series, what effect does decreasing the resistance have on the charging time of the capacitor?

<p>Decreasing resistance decreases the charging time. (D)</p> Signup and view all the answers

A capacitor is charged and then isolated. If the plates are then pulled further apart while the capacitor remains isolated, what happens to the voltage and stored charge?

<p>The voltage increases, and the charge remains constant. (A)</p> Signup and view all the answers

According to Ohm's Law, what is the relationship between voltage, current, and resistance?

<p>Current is proportional to voltage and inversely proportional to resistance. (B)</p> Signup and view all the answers

What is the standard SI unit for measuring electric current?

<p>Ampere (A) (A)</p> Signup and view all the answers

In an electric circuit, what causes the flow of electric current?

<p>Electrical potential (voltage) (B)</p> Signup and view all the answers

What term describes the opposition to the flow of electric current?

<p>Resistance (B)</p> Signup and view all the answers

What happens to electric current as electrical resistance increases, assuming voltage remains constant?

<p>Decreases (C)</p> Signup and view all the answers

Which of the following is a common analogy used to illustrate a simple electric circuit?

<p>A water pump and pipe system (A)</p> Signup and view all the answers

What is the primary interaction studied in electrodynamics?

<p>Electric currents and magnets (B)</p> Signup and view all the answers

What happens when charge carriers collide with the atoms in a wire?

<p>It results in electrical resistance. (D)</p> Signup and view all the answers

What is the effect of increasing the length of a wire on its electrical resistance?

<p>Increases the resistance (C)</p> Signup and view all the answers

In a circuit, what increases when more energy is used up quickly?

<p>Total current (C)</p> Signup and view all the answers

Why is it better to connect Christmas tree lights in parallel rather than in series?

<p>So that if one bulb burns out, the rest stay lit. (A)</p> Signup and view all the answers

What is the formula for the equivalent resistance of resistors in a series circuit?

<p>$R_{eq} = R_1 + R_2 + R_3 + ...$ (B)</p> Signup and view all the answers

What remains the same across all resistors in a series circuit?

<p>Current (A)</p> Signup and view all the answers

What is the formula for the equivalent resistance of resistors in a parallel circuit?

<p>$1/R_{eq} = 1/R_1 + 1/R_2 + 1/R_3 + ...$ (A)</p> Signup and view all the answers

What is the SI unit for measuring electrical resistance?

<p>Ohm (D)</p> Signup and view all the answers

In a parallel circuit, what remains the same across all resistors?

<p>Voltage (A)</p> Signup and view all the answers

What does 'C' represent in the equation $CV = q$?

<p>Capacitance (D)</p> Signup and view all the answers

What unit is capacitance (C) measured in?

<p>Farads (D)</p> Signup and view all the answers

What is the unit of charge (q)?

<p>Coulomb (B)</p> Signup and view all the answers

What happens to the electrical resistance of most conducting materials as their temperature increases?

<p>Increases (A)</p> Signup and view all the answers

If a wire is cut into 4 equal parts, how does the resistance of each part compare to the original wire?

<p>1/4 of the original resistance (B)</p> Signup and view all the answers

What formula relates charge (q), capacitance (C), and voltage (V)?

<p>$q = CV$ (B)</p> Signup and view all the answers

In a parallel circuit, what happens to the overall current drawn from the source when another resistor is added in parallel?

<p>Increases (C)</p> Signup and view all the answers

What happens to the other bulbs in a parallel circuit when one bulb burns out?

<p>The other bulbs stay lit (C)</p> Signup and view all the answers

What is the relationship between the area of capacitor plates and capacitance?

<p>Bigger area results in greater capacitance. (D)</p> Signup and view all the answers

What best describes the impact of the distance between capacitor plates on capacitance?

<p>Closer distance results in greater capacitance. (D)</p> Signup and view all the answers

What is the voltage across each capacitor in a parallel circuit?

<p>It is the same across each capacitor. (D)</p> Signup and view all the answers

What happens to total capacitance when capacitors are connected in parallel?

<p>The total capacitance increases. (D)</p> Signup and view all the answers

The formula for energy stored in a capacitor is $E = \frac{1}{2}CV^2$. If the capacitance is 4F and the voltage is 10V, what is the energy stored?

<p>200 Joules (A)</p> Signup and view all the answers

What is the relationship between voltage, charge, and capacitance?

<p>Charge equals voltage times capacitance ($q = CV$). (C)</p> Signup and view all the answers

Why is an insulating material (dielectric) used in capacitors?

<p>To increase the capacitance and prevent direct contact between the plates. (A)</p> Signup and view all the answers

How does the voltage relate to the charge in a capacitor?

<p>Voltage is directly proportional to the charge. (B)</p> Signup and view all the answers

What is the SI unit of capacitance?

<p>Farad (B)</p> Signup and view all the answers

What quantities does Ohm's Law relate?

<p>Voltage, Current, and Resistance (D)</p> Signup and view all the answers

In the water pump analogy for an electric circuit, what does the water pump represent?

<p>A voltage source (A)</p> Signup and view all the answers

What is electric current defined as?

<p>The amount of charge passing through a point per unit time (C)</p> Signup and view all the answers

What is the standard SI unit for electric current?

<p>Ampere (B)</p> Signup and view all the answers

What is the effect of electrical resistance on electric current, given a constant voltage?

<p>It decreases the current. (B)</p> Signup and view all the answers

Electrodynamics is the study of interactions between:

<p>Electric currents and magnetic fields (A)</p> Signup and view all the answers

What does electrical resistance in a circuit oppose?

<p>Current flow (A)</p> Signup and view all the answers

If a truck battery uses 50A for 30s to start the engine, what quantity is calculated by multiplying these two values?

<p>Charge (B)</p> Signup and view all the answers

According to Ohm's Law, if voltage increases and resistance stays constant, what happens to the current?

<p>Current increases (C)</p> Signup and view all the answers

An electrician experiences a mild shock when a small current passes through their body. What property of the electrician's body determines the magnitude of the current for a given voltage?

<p>Resistance (C)</p> Signup and view all the answers

What is the SI unit of electrical resistance?

<p>Ohm (D)</p> Signup and view all the answers

How does increasing the length of a wire affect its electrical resistance?

<p>Increases resistance (C)</p> Signup and view all the answers

How does decreasing the cross-sectional area of a wire affect its electrical resistance?

<p>Increases resistance (A)</p> Signup and view all the answers

What happens to the electrical resistance of a wire as its temperature increases?

<p>Resistance increases (C)</p> Signup and view all the answers

In a series circuit, what happens if one component fails and breaks the circuit?

<p>The entire circuit stops working. (C)</p> Signup and view all the answers

In a parallel circuit, what happens to the overall current drawn from the source as more resistors are added?

<p>The total current increases. (A)</p> Signup and view all the answers

What best describes components in a series circuit?

<p>Connected end to end (B)</p> Signup and view all the answers

Which of the following statements is true about the number of paths for current flow in a parallel circuit?

<p>There are multiple paths (C)</p> Signup and view all the answers

In a parallel circuit, what happens to the brightness of the lightbulbs if more lightbulbs (resistors) are added in parallel?

<p>The brightness of the lightbulbs stays the same (E)</p> Signup and view all the answers

How does the distance between capacitor plates affect capacitance?

<p>Closer distance, greater capacitance (A)</p> Signup and view all the answers

If the capacitance of a capacitor is exactly 1 F and the plate separation is 2.0x, what formula would you use to determine the area of the plates?

<p>$A = 2.3x$ (B)</p> Signup and view all the answers

For capacitors in parallel, what is true of the charge?

<p>Each capacitor has a different charge (D)</p> Signup and view all the answers

For capacitors in series, what is true of the voltage?

<p>Each capacitor can have a different voltage (B)</p> Signup and view all the answers

What happens to the temperature of a wire as the current increases?

<p>The wire gets hotter. (C)</p> Signup and view all the answers

What formula is used to find the voltage across an individual capacitor in a series circuit, given the total charge (Q) and the individual capacitance (C)?

<p>V = Q/C (C)</p> Signup and view all the answers

Why is it better for Christmas tree lights to be wired in parallel?

<p>If one bulb burns out, the rest stay lit. (A)</p> Signup and view all the answers

How is total capacitance calculated for parallel capacitors?

<p>By summing each capacitance (C)</p> Signup and view all the answers

What formula represents the energy stored in a capacitor?

<p>$E = 0.5Vq$ (D)</p> Signup and view all the answers

What happens to the current in a series circuit?

<p>The current is the same at all points. (D)</p> Signup and view all the answers

What is the first step in finding the energy (E) stored in a capacitor when the charge (q) and voltage (V) are known?

<p>Knowing both voltage and charge, simply apply the formula E= 1/2Vq (B)</p> Signup and view all the answers

What is the formula for total resistance when resistors are connected in series?

<p>Add each resistance. (D)</p> Signup and view all the answers

How is total current calculated in parallel circuits?

<p>It is the sum of the current through each branch. (A)</p> Signup and view all the answers

What is the correct formula to find the potential difference (V) between the plates of a capacitor, given the charge (q) and capacitance (C)?

<p>V = q/C (A)</p> Signup and view all the answers

What is the voltage in a parallel circuit?

<p>The same across all components. (C)</p> Signup and view all the answers

What is a capacitor used for?

<p>Storing electrical energy (C)</p> Signup and view all the answers

What is the relationship between charge, capacitance, and voltage?

<p>$q = CV$ (A)</p> Signup and view all the answers

If a 4F capacitor is connected to a 12V battery, how much charge is stored?

<p>48 C (B)</p> Signup and view all the answers

What unit is used to measure electrical resistance?

<p>Ohm (D)</p> Signup and view all the answers

How does increasing the temperature of a conducting wire affect its electrical resistance?

<p>Increases resistance (C)</p> Signup and view all the answers

What is the primary difference between a series and parallel circuit?

<p>Series circuits have only one path for current, while parallel circuits have multiple paths. (B)</p> Signup and view all the answers

What happens if one bulb burns out in a series circuit?

<p>All other bulbs go out. (D)</p> Signup and view all the answers

What happens if one bulb burns out in a parallel circuit?

<p>All other bulbs continue to shine normally. (C)</p> Signup and view all the answers

What is a key advantage of parallel circuits compared to series circuits?

<p>In parallel circuits, if one component fails, the others can still operate. (B)</p> Signup and view all the answers

What does the 'power rating' of an electrical component indicate?

<p>The maximum rate at which it converts electrical power. (D)</p> Signup and view all the answers

What generally happens to the resistance of most materials if they get hotter?

<p>Resistance increases (A)</p> Signup and view all the answers

What is the total resistance of three resistors connected in series with values of 2.0, 3.0, and 4.0?

<p>9.0 (C)</p> Signup and view all the answers

What happens to the current in other branches of a parallel circuit if one branch is removed?

<p>The current in the other branches remains the same. (D)</p> Signup and view all the answers

What is the total voltage in each branch of a parallel circuit?

<p>The voltage is the same across each branch. (C)</p> Signup and view all the answers

What is a capacitor?

<p>A device for storing electrical energy. (C)</p> Signup and view all the answers

What branch of physics deals with the interactions of electric currents with magnets?

<p>Electrodynamics (C)</p> Signup and view all the answers

In the formula $q = CV$, what does 'q' represent?

<p>Charge (C)</p> Signup and view all the answers

In the formula $q = CV$, what unit is C measured in?

<p>Farads (F) (C)</p> Signup and view all the answers

In a simple electric circuit, what is analogous to a water pump?

<p>A battery (A)</p> Signup and view all the answers

A 4 Farad capacitor is connected to a 12 Volt battery. How much charge is stored on it?

<p>48 Coulombs (B)</p> Signup and view all the answers

What is electric current?

<p>The amount of charge passing through a point per unit time. (D)</p> Signup and view all the answers

What is the SI unit of electric current?

<p>Ampere (A) (B)</p> Signup and view all the answers

What term describes the opposition to current flow in an electrical circuit?

<p>Resistance (C)</p> Signup and view all the answers

If the voltage in a circuit remains constant, what happens to the electric current as the electrical resistance increases?

<p>The current decreases (B)</p> Signup and view all the answers

A wire carries a steady current of 5A for 60 seconds. What is the total charge that passes through any point in the circuit during this time?

<p>300 Coulombs (C)</p> Signup and view all the answers

A truck battery uses 25A for 60s to start the engine. How many electrons pass during this time interval?

<p>9.38 x 10^19 electrons (A)</p> Signup and view all the answers

A steady current of 1.25A exists in a wire for 8.0 minutes. How much total charge passed by a given point in the circuit during those 8.0 minutes?

<p>600 Coulombs (C)</p> Signup and view all the answers

In a parallel capacitor configuration, what is true about the voltage across each capacitor?

<p>Voltage is the same across each capacitor. (C)</p> Signup and view all the answers

What formula relates charge (q), capacitance (C), and voltage (V) in a capacitor?

<p>$q = CV$ (D)</p> Signup and view all the answers

What is electrical potential energy stored in a capacitor related to?

<p>Voltage and charge. (D)</p> Signup and view all the answers

What happens to the overall capacitance when capacitors are connected in parallel?

<p>Increases. (D)</p> Signup and view all the answers

If a capacitor has a charge of 600µC and capacitance of 6µF, what is the voltage?

<p>100V (A)</p> Signup and view all the answers

If one capacitor has 8F, another has 4F, and a third has 2F, and they are connected in parallel with a voltage of 37.5V, what is the charge on the 4F capacitor?

<p>150 C (D)</p> Signup and view all the answers

What is the formula for calculating the energy (E) stored in a capacitor in terms of capacitance (C) and Voltage (V)?

<p>$E = \frac{1}{2}CV^2$ (D)</p> Signup and view all the answers

What effect does a smaller cross-sectional area have on the resistance of a wire?

<p>Increases the resistance (B)</p> Signup and view all the answers

In a parallel circuit, what remains the same across each of the components?

<p>Voltage (D)</p> Signup and view all the answers

What happens to the other bulbs in a series circuit if one bulb burns out?

<p>The other bulbs go out (C)</p> Signup and view all the answers

What is the relationship between voltage, current, and resistance, according to Ohm's Law?

<p>Voltage is proportional to both current and resistance. (D)</p> Signup and view all the answers

What effect does electrical resistance have on the electric current, given a constant voltage?

<p>Decreases the electric current. (A)</p> Signup and view all the answers

What is the effect of collisions between moving charges and atoms in a wire?

<p>Increases resistance (B)</p> Signup and view all the answers

According to the water pump analogy for electric circuits, what does the water pump represent?

<p>Voltage (A)</p> Signup and view all the answers

Electrodynamics is best described as the area of physics that studies?

<p>The interactions of electric currents with magnets and other currents. (D)</p> Signup and view all the answers

Which of the following statements is true regarding electrical resistance?

<p>Electrical resistance is a property that opposes current flow. (C)</p> Signup and view all the answers

A wire carries a steady current of 2.5A for 4.0 minutes. How much total charge passed through a given point in the circuit during those 4.0 minutes?

<p>600 Coulombs (A)</p> Signup and view all the answers

An electrician receives a mild shock when a current of 0.005A passes through him at 220V. What is the resistance of the electrician's body?

<p>44,000 $\Omega$ (A)</p> Signup and view all the answers

In a circuit, what generally causes a wire to get hotter?

<p>Increased current (D)</p> Signup and view all the answers

Why are Christmas tree lights typically wired in parallel instead of series?

<p>So that if one bulb burns out, the rest stay lit (B)</p> Signup and view all the answers

What is the equivalent resistance of resistors connected in series?

<p>The sum of each resistance (C)</p> Signup and view all the answers

What formula is used to calculate the equivalent resistance of resistors connected in Parallel?

<p>$\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + ...$ (C)</p> Signup and view all the answers

In a series circuit, what is true about the current through each resistor?

<p>The current is the same through each resistor. (B)</p> Signup and view all the answers

What happens to the capacitance of a parallel plate capacitor if the area of the plates is increased?

<p>The capacitance increases. (C)</p> Signup and view all the answers

What happens to the capacitance of a parallel plate capacitor if the distance between the plates is increased?

<p>The capacitance decreases. (D)</p> Signup and view all the answers

In a parallel circuit, what is true about the voltage across each resistor?

<p>The voltage is the same across each resistor (A)</p> Signup and view all the answers

What does a capacitor do in an electrical circuit?

<p>Stores electrical energy (B)</p> Signup and view all the answers

What does 'C' represent in the formula $q = CV$?

<p>Capacitance (C)</p> Signup and view all the answers

What are the units of measurement for capacitance?

<p>Farads (B)</p> Signup and view all the answers

What is the relationship between voltage (V), charge (q), and capacitance (C)?

<p>$q = CV$ (B)</p> Signup and view all the answers

What kind of energy is stored in a capacitor?

<p>Electric potential energy (C)</p> Signup and view all the answers

What is the formula for the energy (E) stored in a capacitor, in terms of charge (q) and voltage (V)?

<p>$E = \frac{1}{2}qV$ (B)</p> Signup and view all the answers

If the voltage across a capacitor is doubled, how does the energy stored in the capacitor change?

<p>It quadruples. (D)</p> Signup and view all the answers

If the capacitance of a capacitor is doubled, how does the energy stored in the capacitor change, assuming the voltage remains constant?

<p>It doubles. (A)</p> Signup and view all the answers

What unit is electrical resistance measured in?

<p>Ohm (A)</p> Signup and view all the answers

What happens to the resistance of a conducting wire as its length increases?

<p>Resistance increases (B)</p> Signup and view all the answers

How does the cross-sectional area of a wire affect its electrical resistance?

<p>A thinner wire has more resistance (C)</p> Signup and view all the answers

How does an increase in temperature typically affect the resistance of a conducting wire?

<p>Increases resistance (C)</p> Signup and view all the answers

In a series circuit, what happens if one component breaks the circuit?

<p>The entire circuit stops functioning (A)</p> Signup and view all the answers

In a parallel circuit, what happens to the other components if one component fails?

<p>The other components continue to function normally (D)</p> Signup and view all the answers

What is a key advantage of a parallel circuit compared to a series circuit?

<p>If one component fails, the others still work (A)</p> Signup and view all the answers

In an electric circuit, what does resistance do?

<p>Opposes the flow of current (A)</p> Signup and view all the answers

What indicates the maximum rate at which an electrical component converts electrical power into other forms of energy?

<p>Power rating (B)</p> Signup and view all the answers

Electrodynamics is the branch of physics that deals with the interactions of:

<p>Electric currents with magnets (B)</p> Signup and view all the answers

Which of the following best describes a series circuit?

<p>Components are connected end to end, providing a single path for current (D)</p> Signup and view all the answers

What causes charge to flow in an electric circuit?

<p>Electrical potential (voltage) (A)</p> Signup and view all the answers

What is the effect of adding more resistors in a parallel circuit regarding the total current from the source?

<p>Total current increases (C)</p> Signup and view all the answers

If a truck battery uses 50A for 30 seconds to start the engine, what is the total charge that passes during this interval?

<p>1500 C (A)</p> Signup and view all the answers

What analogy is often used to illustrate a simple electric circuit?

<p>A water pump system (B)</p> Signup and view all the answers

What happens as charge begins to move through a wire?

<p>It collides with atoms in the wire (A)</p> Signup and view all the answers

What is the primary function of a capacitor?

<p>To store electrical energy (D)</p> Signup and view all the answers

How does increasing the area of a capacitor's plates affect its capacitance?

<p>Increases capacitance (A)</p> Signup and view all the answers

How does decreasing the distance between the plates of a capacitor affect its capacitance?

<p>Increases the capacitance (D)</p> Signup and view all the answers

Which of the following affects a capacitor's ability to store charge?

<p>The material between the plates (A)</p> Signup and view all the answers

Which formula is used to calculate energy (E) stored in a capacitor?

<p>$E = rac{1}{2}qV$ (B)</p> Signup and view all the answers

In a parallel circuit, what is true about the voltage across each capacitor?

<p>It is the same across each capacitor (A)</p> Signup and view all the answers

What happens to the total current in a wire as the electrons move faster?

<p>The total current increases. (D)</p> Signup and view all the answers

In a circuit, what causes a wire to get hotter as the total current increases?

<p>Faster electrons. (C)</p> Signup and view all the answers

What can be used as an indicator that the lights in your house are connected in parallel?

<p>They stay on even if one bulb burns out. (A)</p> Signup and view all the answers

If three resistors of 2.0, 3.0, and 4.0 are connected in series, what is the equivalent resistance?

<p>9.0 (C)</p> Signup and view all the answers

What is the first step in finding the total resistance of parallel resistors with values of 12 ohm , 8 ohm , 25ohm , 18ohm.

<p>Find the reciprocal of each resistance value. (A)</p> Signup and view all the answers

In a simple series circuit with multiple resistors, what is true about the amount of current that goes through each resistor?

<p>The current is the same in each resistor. (B)</p> Signup and view all the answers

A capacitor with a capacitance of 4 Farads is connected across a 12 Volt battery. Determine the amount of charge stored on either plate of the capacitor.

<p>48 Coulombs (A)</p> Signup and view all the answers

How does increasing the length of a conducting wire affect its resistance?

<p>Increases resistance (A)</p> Signup and view all the answers

How does increasing the cross-sectional area of a conducting wire affect its resistance?

<p>Decreases resistance (D)</p> Signup and view all the answers

What happens to the resistance of most conducting materials as their temperature increases?

<p>Resistance increases (B)</p> Signup and view all the answers

In a series circuit, what is the effect of one component failing and breaking the circuit?

<p>The entire circuit stops functioning (D)</p> Signup and view all the answers

In a parallel circuit, what happens if one of the bulbs burns out?

<p>The other bulbs stay lit (A)</p> Signup and view all the answers

What is a key advantage of a parallel circuit?

<p>If one component fails, the others still work (A)</p> Signup and view all the answers

What happens to the total current in a parallel circuit as more resistors are added?

<p>Total current increases (D)</p> Signup and view all the answers

What is indicated by the power rating of an electrical component?

<p>Maximum rate of energy conversion (A)</p> Signup and view all the answers

What is the primary focus of electrodynamics as a branch of physics?

<p>The interactions of electric currents with magnets and other currents. (C)</p> Signup and view all the answers

What happens to the current if the resistance increases in a circuit, assuming the voltage remains constant?

<p>The current decreases. (B)</p> Signup and view all the answers

What is the SI unit for measuring electric current?

<p>Ampere (A) (D)</p> Signup and view all the answers

According to Ohm's Law, what is the relationship between voltage (V), current (I), and resistance (R)?

<p>$V = IR$ (A)</p> Signup and view all the answers

What is one effect of increased electrical resistance in a wire?

<p>Decreased electric current. (D)</p> Signup and view all the answers

If a wire carries a steady current of 5A for 60 seconds, what is the total charge that passes through a point in the circuit during this time?

<p>300 Coulombs (D)</p> Signup and view all the answers

If a truck battery uses 60A for 10 seconds to start the engine, what is the charge that passes during this time interval?

<p>600 Coulombs (C)</p> Signup and view all the answers

In a circuit, what typically causes a wire to heat up more rapidly?

<p>Increased current flow (C)</p> Signup and view all the answers

Why is parallel wiring typically preferred over series wiring for household lights?

<p>So that if one light goes out, the others stay on (A)</p> Signup and view all the answers

In a series circuit with three resistors, what is true about the current flowing through each resistor?

<p>The current is the same through each resistor (A)</p> Signup and view all the answers

If three resistors are connected in series, how do you calculate the total resistance?

<p>Add the individual resistance values together. (D)</p> Signup and view all the answers

If three resistors are connected in parallel, how do you calculate the total resistance?

<p>Take the inverse of each resistance, add them, and then take the inverse of the sum. (A)</p> Signup and view all the answers

What is the function of a capacitor in an electrical circuit?

<p>To store electrical energy (A)</p> Signup and view all the answers

A capacitor with a capacitance of 4 Farads is connected to a 12 Volt battery. What is the amount of charge stored on either plate of the capacitor?

<p>48 Coulombs (A)</p> Signup and view all the answers

In a series connection of capacitors, what quantity is the same for all capacitors?

<p>Charge (A)</p> Signup and view all the answers

In a parallel connection of capacitors, what quantity is the same across all capacitors?

<p>Voltage (B)</p> Signup and view all the answers

What is the effect of inserting an insulating material between the plates of a capacitor?

<p>Increases the capacitance (A)</p> Signup and view all the answers

If a capacitor has a charge of 2500 coulombs on each plate and a potential difference of 71 volts, what is a step towards determining the energy stored?

<p>Use $E = \frac{1}{2} qV$. (A)</p> Signup and view all the answers

For parallel capacitors, which of the following factors affects capacitance?

<p>The area of the plates (D)</p> Signup and view all the answers

What form of energy is stored in a charged capacitor?

<p>Electric potential energy (A)</p> Signup and view all the answers

Given the equation $E = \frac{1}{2} \frac{q^2}{C}$ for the energy stored in a capacitor, what does 'C' represent?

<p>Capacitance (A)</p> Signup and view all the answers

According to Ohm's Law, what is the mathematical relationship between voltage (V), current (I), and resistance (R)?

<p>V = IR (B)</p> Signup and view all the answers

What is the primary function of resistance in an electrical circuit?

<p>To oppose the flow of current (C)</p> Signup and view all the answers

In a simple electric circuit, what is analogous to a water pump creating a pressure difference?

<p>Voltage source (B)</p> Signup and view all the answers

What quantity does electric current measure?

<p>The amount of charge passing through a point per unit time. (A)</p> Signup and view all the answers

If a truck battery supplies a current of 50A for 30 seconds, what is the total charge that passes through the circuit?

<p>1500 C (A)</p> Signup and view all the answers

What happens to the electric current in a wire as the electrical resistance increases, assuming the voltage remains constant?

<p>The electric current decreases. (B)</p> Signup and view all the answers

Electrodynamics is a branch of physics that studies the interactions between electric currents and what other entities?

<p>Magnets (D)</p> Signup and view all the answers

What term describes the opposition to the flow of electric current in a material?

<p>Resistance (C)</p> Signup and view all the answers

An electrician receives a mild shock of 0.005A at 220V. What calculation determines the electrician's resistance?

<p>R = 220V / 0.005A (C)</p> Signup and view all the answers

What happens to the resistance of most conducting materials as temperature increases?

<p>Increases (C)</p> Signup and view all the answers

In a parallel circuit, how does the current flow through each branch?

<p>The current divides through each branch. (D)</p> Signup and view all the answers

In a parallel circuit, what happens if one branch is removed?

<p>The current in the other branches remains the same. (D)</p> Signup and view all the answers

What is a key advantage of a parallel circuit compared to a series circuit regarding component failure?

<p>If one component fails, the other components can still function. (D)</p> Signup and view all the answers

What happens to the overall resistance in a parallel circuit as more resistors are added?

<p>Decreases (A)</p> Signup and view all the answers

What happens to capacitance when the area of capacitor plates increases?

<p>Capacitance increases. (C)</p> Signup and view all the answers

What happens to capacitance when the distance between capacitor plates increases?

<p>Capacitance decreases. (B)</p> Signup and view all the answers

In a parallel capacitor setup, how are the capacitors arranged?

<p>With each capacitor on a separate branch. (D)</p> Signup and view all the answers

In a series capacitor setup, what is the relationship between the charge on each capacitor?

<p>The charge is the same on each capacitor. (C)</p> Signup and view all the answers

Which expression is used for calculating the energy (E) stored in a capacitor (where q is charge and V is voltage)?

<p>$E=\frac{1}{2}qV$ (B)</p> Signup and view all the answers

How does the voltage behave across capacitors connected in parallel?

<p>It is the same across all capacitors. (A)</p> Signup and view all the answers

What is the effect of an insulating material placed between the plates of a capacitor?

<p>Increases the capacitance (D)</p> Signup and view all the answers

If charge of 2500 is on each plate of a capacitor and the voltage is 71V, what formula should you use to directly calculate the energy stored? (q = charge, V = voltage)

<p>$E=\frac{1}{2}qV$ (B)</p> Signup and view all the answers

What is the standard unit of measurement for electric current?

<p>Ampere (A) (D)</p> Signup and view all the answers

What is the effect of increased electrical resistance on electric current, given a constant voltage?

<p>Decreases the electric current (C)</p> Signup and view all the answers

What primarily opposes the flow of current in an electrical circuit?

<p>Resistance (A)</p> Signup and view all the answers

Electrodynamics is BEST described as the study of interactions between:

<p>Moving electric charges (D)</p> Signup and view all the answers

What parameter is calculated by multiplying current with time?

<p>Charge (B)</p> Signup and view all the answers

What is the role of voltage in an electric circuit?

<p>To supply the electric potential energy (C)</p> Signup and view all the answers

As the length of a conducting wire increases, what happens to its resistance?

<p>Resistance increases (D)</p> Signup and view all the answers

As the cross-sectional area of a conducting wire decreases, what happens to its resistance?

<p>Resistance increases (C)</p> Signup and view all the answers

A wire carries a current. If the number of charge carriers passing through a given point remains the same but the time interval doubles, what happens to the electric current?

<p>The current halves. (C)</p> Signup and view all the answers

In a wire, what happens to resistance as temperature increases?

<p>Resistance increases (B)</p> Signup and view all the answers

Which statement provides the MOST accurate description of resistance?

<p>It opposes the flow of electric current. (D)</p> Signup and view all the answers

What is a characteristic of a series circuit?

<p>Components are connected end to end (B)</p> Signup and view all the answers

What happens if one bulb blows in a series circuit?

<p>All the bulbs go out (A)</p> Signup and view all the answers

What is a characteristic of a parallel circuit?

<p>Components are connected side by side (A)</p> Signup and view all the answers

What happens if one bulb blows in a parallel circuit?

<p>The other bulbs stay lit (D)</p> Signup and view all the answers

What does a power rating in watts indicate for an electrical component?

<p>The maximum rate at which it converts electrical power (B)</p> Signup and view all the answers

What happens to the current flow when there are more collisions?

<p>Current flow decreases (C)</p> Signup and view all the answers

Why is it generally better to use parallel circuits for Christmas tree lights?

<p>To keep all lights on if one burns out (C)</p> Signup and view all the answers

How are the lights in your house typically wired?

<p>In parallel (B)</p> Signup and view all the answers

What is the total resistance of three resistors with values of 2.0, 3.0, and 4.0 connected in series?

<p>9.0 (A)</p> Signup and view all the answers

Which of the following factors affects the capacitance of a parallel plate capacitor?

<p>All of the above. (D)</p> Signup and view all the answers

In a series circuit, what is the relationship between the current through each resistor?

<p>The current is the same through each resistor (A)</p> Signup and view all the answers

What happens to the capacitance if the distance between the plates of a capacitor is increased?

<p>Capacitance decreases. (B)</p> Signup and view all the answers

In a parallel circuit, what is the relationship between the voltage across each resistor?

<p>The voltage is the same across each resistor (D)</p> Signup and view all the answers

What quantity remains the same for each capacitor connected in series?

<p>Charge. (A)</p> Signup and view all the answers

What is the formula relating charge (q), capacitance (C), and voltage (V) in a capacitor?

<p>$q = CV$ (B)</p> Signup and view all the answers

What is capacitance measured in?

<p>Farads (D)</p> Signup and view all the answers

What quantity is the same for all capacitors in a parallel circuit?

<p>Voltage (C)</p> Signup and view all the answers

Which formula is used to calculate the voltage (V) across a capacitor, given the charge (q) and capacitance (C)?

<p>$V = q/C$ (A)</p> Signup and view all the answers

What is the function of a capacitor?

<p>To store electrical energy (B)</p> Signup and view all the answers

A 4 Farad capacitor is connected across a 12 Volt battery. What is the amount of charge stored on either plate of the capacitor?

<p>48 Coulombs (B)</p> Signup and view all the answers

If a parallel plate capacitor has a capacitance of 2 farads (F) and is charged with 12 volts (V), what is the charge (q) stored on either plate of the capacitor?

<p>24 Coulombs (A)</p> Signup and view all the answers

If the area of plates increases, what happens to capacitance?

<p>The capacitance increases (D)</p> Signup and view all the answers

The voltage of Capacitor 1 (C1) is 100V and Capacitor 2 (C2) is 60V. If the charge of the circuit is 600µC, which one has a capacitance of 6µF

<p>Capacitor 1 (C1) (B)</p> Signup and view all the answers

If the total charge of each plate is 2500C (Coulombs) and the Potential Difference calculates to 71V on a capacitor, what is the next step to find the energy stored?

<p>Calculate $E = (1/2)qV$ (A)</p> Signup and view all the answers

For Christmas tree lights, would it be better to wire them in series or parallel, and why?

<p>Parallel, because if one bulb burns out, the rest stay lit. (B)</p> Signup and view all the answers

What is the formula to calculate the equivalent resistance of resistors connected in series?

<p>$R_{eq} = R_1 + R_2 + R_3 + ...$ (B)</p> Signup and view all the answers

What is the formula to calculate the equivalent resistance of resistors connected in parallel?

<p>$1/R_{eq} = 1/R_1 + 1/R_2 + 1/R_3 + ...$ (D)</p> Signup and view all the answers

How does decreasing the cross-sectional area of a conducting wire affect its electrical resistance?

<p>Increases resistance (A)</p> Signup and view all the answers

In which type of circuit does each component have its own independent path for current flow?

<p>Parallel circuit (B)</p> Signup and view all the answers

Does adding more devices (resistors) in a parallel circuit decrease the current to each individual device?

<p>No, because each device has its own path (D)</p> Signup and view all the answers

Which of the following best describes electrodynamics?

<p>The study of the effects arising from the interactions of electric currents with magnets. (C)</p> Signup and view all the answers

What does Ohm's Law describe the relationship between?

<p>Voltage, current, and resistance. (D)</p> Signup and view all the answers

In what unit is electric current measured?

<p>Ampere (A) (B)</p> Signup and view all the answers

What happens to the electric current if the electrical resistance increases, given a constant voltage?

<p>It decreases. (B)</p> Signup and view all the answers

If a truck battery uses 50A for 30 seconds to start the engine, which calculation determines the total charge that passes during this time interval?

<p>Q = 50A * 30s (B)</p> Signup and view all the answers

What is the flow of electricity (current) directly proportional to, according to Ohm's Law, when electrical potential (voltage) is applied?

<p>The voltage divided by the electrical resistance of the circuit. (B)</p> Signup and view all the answers

An electrician gets a mild shock when a current passes through him. To find the resistance of the electrician, what information is needed?

<p>Both the current and the voltage. (A)</p> Signup and view all the answers

If a voltmeter indicates 12.0V across a rheostat, what other information is needed to determine the resistance across the rheostat?

<p>The amount of current flowing through the rheostat. (D)</p> Signup and view all the answers

What happens to the capacitance of a capacitor if the area of its plates is increased?

<p>The capacitance increases. (B)</p> Signup and view all the answers

In a series circuit with capacitors, what is true of the charge on each capacitor?

<p>The charge is the same on each capacitor. (C)</p> Signup and view all the answers

If capacitors are connected in parallel, what quantity is the same across all of them?

<p>Voltage (D)</p> Signup and view all the answers

What is the name of the energy stored in a capacitor?

<p>Electric potential energy (D)</p> Signup and view all the answers

If the charge on each plate of a capacitor is doubled and everything else remains the same, what happens to the voltage?

<p>The voltage is doubled. (B)</p> Signup and view all the answers

What is the effect of the area size of two plates in a parallel capacitor?

<p>The bigger the area of the plates, the greater the capacitance (B)</p> Signup and view all the answers

What is the effect of the distance between two plates in a parallel capacitor?

<p>The closer the distance between the plates, the greater the capacitance (D)</p> Signup and view all the answers

In a series circuit, how are the components connected?

<p>End to end, one after the other (D)</p> Signup and view all the answers

What happens in a series circuit if one component fails and breaks the circuit?

<p>All components stop functioning (C)</p> Signup and view all the answers

How are components connected in a parallel circuit?

<p>Side by side (D)</p> Signup and view all the answers

What is a key characteristic of a parallel circuit regarding current flow?

<p>There are multiple paths for current flow (C)</p> Signup and view all the answers

What happens in a parallel circuit if one component fails and the circuit is broken at that point?

<p>The other components continue to function (B)</p> Signup and view all the answers

What is the relationship described by Ohm's Law?

<p>Current and electrical resistance are proportional to voltage. (B)</p> Signup and view all the answers

What is resistance?

<p>The opposition to current flow (D)</p> Signup and view all the answers

A device has a reading of 10A when connected to 10V power supply. After sometime the device indicates a reading of 5A what will be the new resistance?

<p>2Ω (D)</p> Signup and view all the answers

A truck battery uses 40A for 20s to start the engine. How many total charge passed during this time interval?

<p>800 C (B)</p> Signup and view all the answers

A potential difference is applied across a conductor. If the voltage equals 9V, what is the resistance of the electrician?

<p>30Ω (C)</p> Signup and view all the answers

The voltmeter indicates a reading of 12.0V and the ammeter reads 4A, what is the resistance across the rheostat?

<p>3Ω (B)</p> Signup and view all the answers

If a capacitor has a capacitance of exactly 1 F and the plate separation is 2.0x, what formula should be used to find the area of the plates?

<p>A = 2.3x (C)</p> Signup and view all the answers

In a series capacitor configuration, what happens to the charge across each capacitor?

<p>Same charge across each capacitor (A)</p> Signup and view all the answers

Why is it better to have Christmas tree lights wired in parallel instead of series?

<p>So that if one light goes out, the rest stay lit (D)</p> Signup and view all the answers

What remains the same across each capacitor in a parallel configuration?

<p>Voltage (A)</p> Signup and view all the answers

If the total charge in a series circuit with a 6µF and a 10µF capacitor is 600µC, what is the voltage across the 6µF capacitor?

<p>100V (A)</p> Signup and view all the answers

If the supply voltage is 37.5V in a parallel circuit with capacitors of 8F, 4F, and 2F, what is the charge on the 4F capacitor?

<p>150 (B)</p> Signup and view all the answers

What is the equivalent resistance of three resistors connected in series with values of 2.0Ω, 3.0Ω, and 4.0Ω?

<p>9.0 Ω (C)</p> Signup and view all the answers

What formula is used to calculate the total resistance of resistors in a parallel circuit?

<p>$\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}$ (D)</p> Signup and view all the answers

In a series circuit with resistors of 12Ω, 8Ω, 25Ω, and 18Ω connected to a 75V power supply, what is the total resistance?

<p>63 Ω (D)</p> Signup and view all the answers

What formula can be used to calculate the energy stored in a capacitor, given the charge (q) and voltage on the capacitor?

<p>E= qv (B)</p> Signup and view all the answers

What is the final step to find the Energy stored, if the Charge on each plate is 2500 and the Potential Difference is 71V?

<p>q * v= 2500 * 71 (B)</p> Signup and view all the answers

A parallel circuit has resistors of 12Ω, 8Ω, 25Ω, and 18Ω connected to a 75V power supply. What is the voltage across the 12Ω resistor?

<p>75 V (C)</p> Signup and view all the answers

What physical quantities determine the amount of charge stored in a capacitor?

<p>Capacitance and voltage (B)</p> Signup and view all the answers

If a 4 Farad capacitor is connected across a 12 Volt battery, what is the charge stored on either plate of the capacitor?

<p>48 Coulombs (B)</p> Signup and view all the answers

Flashcards

Electrodynamics

Branch of physics studying interactions of electric currents with magnets and other currents.

Ohm's Law

Voltage (V) equals current (I) times resistance (R): V = IR.

Electric Current

Flow of electric charge through a conductor per unit time; measured in Amperes (A).

Resistance

Opposition to the flow of electric current.

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Ohm’s law states

The current and the electrical resistance of the circuit are proportional to the voltage.

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Electric Current

Amount of charge passing through a conductor per unit time

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How to find the number of electrons (Q)

The number of electrons.

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Resistance

Opposition to current flow

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Electrical Resistance

Opposition to current flow, measured in ohms (Ω).

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Length and Resistance

Longer wires increase resistance.

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Cross-Sectional Area and Resistance

Thinner wires increase resistance.

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Temperature and Resistance

Higher temperature increases resistance.

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Resistivity

Material property affecting resistance.

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Power Rating (Watts)

Maximum rate a component converts electrical power.

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Series Circuit

Components connected end-to-end, one path for current.

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Parallel Circuit

Components connected side-by-side, multiple paths for current.

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Series Circuit Disadvantage

If one component fails, the whole circuit breaks.

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Parallel Circuit Advantage

If one component fails, others still function.

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Capacitance Formula

Capacitance (q) equals Capacitance (C) times Voltage (V).

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Parallel Capacitor: Area of Plates

Larger area increases capacitance.

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Parallel Capacitor: Distance Between Plates

Closer plates increase capacitance.

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Parallel Capacitor: Insulating Material

Different materials can affect capacitance.

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Parallel Capacitors

Capacitors connected side-by-side.

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Series Capacitors

Capacitors connected end-to-end.

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Parallel Circuit Behavior

Voltage same across, charge adds.

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Series Circuit Behavior

Charge same, voltage adds.

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Energy Stored in a Capacitor Formula

= .

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Energy Stored in Capacitor

Electric potential energy related to voltage and charge.

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Current Variation in Circuits

As current flows through a circuit, energy is used, increasing heat and total current.

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Christmas Lights: Series or Parallel?

Parallel is better. If one light burns out, the rest stay lit because each has its own path.

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Household Lights: Series or Parallel?

Household lights are in parallel. If one goes out, the others remain on.

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Total Resistance in Series

Sum of individual resistances: Rtotal = R1 + R2 + R3 + ...

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Total Resistance in Parallel

Inverse of the sum of inverse resistances: 1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ...

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Capacitor

A device that stores electrical energy using two conductors separated by an insulator.

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Calculating Charge on a Capacitor

Multiply capacitance (C) by voltage (V): q = CV. Use consistent units (Farads and Volts).

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What is electrodynamics?

Deals with effects from interactions of electric currents with magnets or other currents.

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Importance of Ohm's Law

The relationship between power, voltage, current, and resistance.

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Electric Current Defined

The amount of charge passing through a point in a conductor per unit time.

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SI unit of current

Ampere (A)

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Calculating Total Charge (Q)

Multiply current (I) by time (t): Q = It.

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Finding the number of electrons

Determined by dividing the total charge (Q) by the charge of one electron.

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Define 'Resistance'

Opposition to the flow of current.

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Resistance and Current

The higher the resistance, the less current flows for a given voltage.

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Cause of Resistance

Collisions between moving charges and atoms in the wire.

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Total Resistance in Series Circuits

In a series circuit, the total resistance is the sum of individual resistances.

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Total Resistance in Parallel Circuits

In a parallel circuit, the inverse of the total resistance is the sum of the inverses of individual resistances.

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What is a Capacitor?

A device used to store electrical energy, consisting of two conductors separated by an insulator.

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Calculating Charge (q)

Multiply Capacitance (in Farads) by Voltage (in Volts) .

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Energy Storage in Capacitors

Electrical potential energy stored in a capacitor; related to voltage and charge.

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Find current in circuit?

Divide the applied voltage by total resistance.

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Capacitance and Area

Capacitance increases with bigger area of plates.

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Capacitance and Distance

Capacitance increases when plates are closer.

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Total Capacitance in Parallel

In parallel, the total capacitance is the sum of individual capacitances: Ctotal = C1 + C2 + ...

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Total Capacitance in Series

In series, the reciprocal of total capacitance is the sum of reciprocals: 1/Ctotal = 1/C1 + 1/C2 + ...

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Voltage in Parallel Capacitors

In parallel, voltage is the same across each capacitor.

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Charge in Series Capacitors

In series, charge is the same on each capacitor.

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Total energy of capacitors

The total energy is the sum of each individual capacitor.

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Energy Storage

The capacitor stores electric potential energy.

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Capacitance

Capacitance is the ability to store electric charge.

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Ohm (Ω)

SI unit of electrical resistance.

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Ohm's Law Formula

Voltage equals current times resistance (V = IR).

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Ohm's Law Importance

The relationship between power, voltage, current, and resistance; governs basic electrical units.

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Number of Electrons Calculation

Divide the total charge (Q) by the charge of one electron.

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Resistance Effect on Current

The higher the resistance, the less current will flow, given constant voltage.

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Cause of Electrical Resistance

Caused by collisions between moving charges and atoms in the wire.

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Capacitance Formula (q)

Capacitance equals charge divided by voltage. (q = CV)

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Capacitance and Plate Area

Capacitance is directly proportional to the area of the plates.

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Capacitance and Plate Seperation

Capacitance is inversely proportional to the distance/seperation between the plates.

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Dielectric Material

Property of a material to store electrical energy.

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Total Parallel Capacitance

Total capacitance is the sum of individual capacitances.

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Voltage Distribution in Series Circuits

Supply voltage is equal to the sum of the voltages across each capacitor. Total capacitance is found using reciprocals.

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Voltage Parallel Circuits

The voltage is the same across each capacitor.The total charge is the sum of the individual charges.

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Voltage in a Capacitor

Voltage = Charge / Capacitance

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Energy Storage in a Capacitor

The electric potential energy stored in it.

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Potential difference across capacitor

The potential difference between the plates of the capacitor will be equal to the charge divided by the capacitance of the capacitor, which can be written as V = Q/C.

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Series Circuit: Current

In a series circuit, the current is the same through all components.

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Parallel Circuit: Voltage

In a parallel circuit, the voltage is the same across all components.

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Resistance: Series vs. Parallel

Total resistance is calculated differently for series vs. parallel circuits due to differing current paths.

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Equivalent Resistance (Series)

To find the equivalent resistance of resistors in series, sum their individual resistances: Rtotal = R1 + R2 + R3 + ...

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Equivalent Resistance (Parallel)

To find the equivalent resistance of resistors in parallel, use the formula: 1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ...

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Capacitor Definition

A capacitor stores electrical energy by accumulating charge on two conductors separated by an insulator.

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Capacitance Units

Capacitance (C) is measured in Farads (F), Voltage (V) in Volts, and Charge (q) in Coulombs (C).

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Capacitor Charge Formula

The amount of charge (q) stored on a capacitor is equal to its capacitance (C) multiplied by the voltage (V) applied across it: q = CV.

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Voltage and Charge (Capacitor)

The more voltage applied to a capacitor, the more charge will accumulate on its plates.

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Function of a capacitor

A device for storing electrical energy.

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Resistance Formula

Voltage divided by current (R=V/I).

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Total Charge Formula

Q = It

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Number of Electrons

Divide the total charge (Q) by the charge of one electron.

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Defining Resistance

Opposition to the flow of electric current.

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Electric Current Explanation

Water pressure analogy

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Electric Current (I)

Amount of charge passing through a conductor per unit time.

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Electrician's shock

The charge of the electrician's body is different when wet vs dry.

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Series Connection

The method of connecting electrical components where the end of one component is connected to the beginning of the next.

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Parallel Connection

The method of connecting electrical components where all components are connected across each other, creating multiple paths for current flow.

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Series Resistance Total

Total opposition to current flow in a series circuit is the sum of individual resistances

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Total Parallel Resistance

The inverse of the the total is equal to the sum of the inverses of the individual resistances

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Series-Parallel Combination

A combination of both series and parallel connections in a single electrical circuit.

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Capacitor Area and Capacitance

The bigger the area, the more charge it can hold.

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Capacitor Distance and Capacitance

Closer plates allow stronger attraction, increasing capacitance.

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Voltage Across a Capacitor

Voltage (V) equals Charge (Q) / Capacitance (C).

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Energy in a Capacitor

The energy stored is electrical potential energy.

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Energy Increase with Charge

Doubling charge quadruples the stored energy.

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Electric Circuit Analogy

Water pump creating pressure difference for water flow in a pipe.

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Unit for Current

Ampere (A)

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Total Charge (Q)

Multiply current (I) by time (t)

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Interaction between electric and magnetic

Electro dynamics physics study

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Current Variation

Current changes as energy is used, increasing the total current and wire temperature.

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Series Resistance

In a series circuit, Total Resistance = R1 + R2 + R3 + ....

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Parallel Resistance

In a parallel circuit, 1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ...

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Find the current (I)

Divide the voltage by total resistance( R=V/I ).

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Calculate Charge (q)

Multiply capacitance (C) by voltage (V): q = CV.

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Charge on a Capacitor

The amount of charge stored on a capacitor is its capacitance x voltage (q = CV).

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Capacitance vs. Plate Area

Capacitance increases proportionally with the area of the capacitor plates.

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Capacitance vs. Plate Distance

Capacitance increases as the distance between capacitor plates decreases.

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Series Capacitors: Charge

Charge is the same across each capacitor, voltage varies.

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Parallel Capacitors: Voltage

Voltage is the same across each capacitor, charge varies.

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Stored Energy

The energy stored in a capacitor is the electric potential energy.

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Voltage Formula for Capacitors

The formula for voltage is voltage equals charge divided by capacitance.

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Total Capacitance (Series)

In a series circuit, the reciprocal of the total capacitance is the sum of the reciprocals of individual capacitances.

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Total Capacitance (Parallel)

Total capacitance is equal to the sum of the individual capacitances.

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Charge Equation

Charge equals capacitance times voltage.

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Capacitance & Insulators

The insulating material between capacitor plates affects capacitance.

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Ohm's Law Relationship

Voltage (V) applied across a conductor drives a flow of electric charge (current, I), opposed by resistance (R).

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Current Unit

Ampere (A)

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Purpose of Ohm's Law

Describes the relationship between voltage, current, and resistance in an electrical circuit.

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Total Electric Charge (Q)

Calculated by multiplying current (I) by time (t).

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Finding No. of Electrons

Divide total transferred charge by the charge of a single electron.

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Source of Resistance

The collision of moving charge carriers with atoms in a conductive material.

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Voltage and Resistance

Higher voltage leads to greater current, but higher resistance decreases current

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Resistance Relationship

Inversely proportional. Higher resistance results in lower current, assuming constant voltage.

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Collisions and Resistance

The more collisions, the greater the resistance to current flow.

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Thickness and Resistance

Resistance is inversely proportional to the cross-sectional area of the wire.

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Resistivity of Material

A measure of how strongly a material opposes the flow of electric current.

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Power Rating

Electrical components have a maximum rate at which they convert electrical power into other forms of energy.

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Parallel Circuit Current

The more resistors in parallel, the less current ( does not dim bulbs)

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Energy stored in a capacitor?

Expressed as = .

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Resistance series circuits

Total resistance in series: sum of individual resistances.

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Area and Capacitance

Increasing plate area increases capacitance.

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Distance and Capacitance

Decreasing the distance between plates increases capacitance.

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Parallel Capacitance

Total capacitance is the sum of individual capacitances.

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Series Capacitance

The reciprocal of total capacitance is the sum of reciprocals.

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Parallel Voltage

Voltage is the same across each capacitor.

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Series Charge

Charge is the same on each capacitor.

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Capacitor Energy Storage

Electric potential energy stored in the capacitor.

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What is Ohm's Law?

The relationship between voltage, current, and resistance in a circuit.

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What is a Series Circuit?

A circuit where components are connected end-to-end along a single path.

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What is a Parallel Circuit?

A circuit where components are connected side-by-side, creating multiple paths for current.

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Electrical power

The rate at which electrical energy is transferred in a circuit.

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Electrical Resistance (R)

Equal to Voltage divided by the Current

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Voltage (V)

The electromotive force or potential difference across a circuit element.

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Electric circuit Water Pump Analogy

Water pump creating pressure to move through pipes

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Electric Current Measurement

Rate of Charge Flow

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Electrical Resistance Definition

Opposition to current flow

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Material Resistivity

A material's inherent ability to oppose current.

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Electric Power Rating

The rate at which an electrical component converts electrical energy into another form.

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Area of Plates & Capacitance

Capacitance increases with larger plate area.

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Distance Between Plates & Capacitance

Capacitance increases as plates get closer.

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Insulating Material

Material between plates affecting capacitance.

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Capacitors in Parallel

Voltage is the same across each capacitor; charges add.

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Capacitors in Series

Charge is the same; voltages add.

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Plate Separation

The plate separation is the physical distance between capacitor plates.

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Energy Stored

Energy stored in a capacitor as electric potential energy.

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Supply Voltage

V = q/C. Voltage equals charge divided by the circuit's total capacitance.

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Circuit Capacitance

The amount of electrical energy it can store per volt.

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Current and Energy

Energy is depleted meaning total current increases and electron speed rises, leading to faster electrons, and a significant increase in wire temperature within a circuit.

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Series Circuit: Current and Resistance

In a series circuit, current is the same through all resistors. Total resistance is the sum of individual resistances.

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Parallel Circuit characteristics

In a parallel circuit, voltage is the same across all resistors. Total current is the sum of individual currents.

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Christmas Lights: Series vs. Parallel

Series: Christmas lights connected in series will all go out if one bulb fails. Parallel: If one Christmas light goes out, the remaining lights stay on because each has its own path.

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Total Series Resistance

Total resistance in series is the arithmetical sum of individual resistances.

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Combination Circuits

A combination circuit contains both series and parallel elements.

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Capacitor Defined

A capacitor stores electrical energy using two conductors separated by an insulator.

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Calculating capacitor charge

The amount of charge (q) stored on a capacitor is equal to its capacitance (C) multiplied by the voltage (V) applied across it: q = CV.

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What is electric current?

The amount of charge flowing through a conductor per unit of time.

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What is resistance?

Opposition to the flow of electric current.

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Water pump analogy

Used to illustrate the concept of a simple electric circuit.

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Calculating Number of Electrons

The charge in coulombs divided by the charge of a singular electron.

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Voltage and Amperes

The voltmeter indicates a reading of 12.0V and the ammeter reads 5A . What is the resistance across the rheostat?

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Wet Skin Resistance

The same electrician is killed by a current of 0.30A when he turned on an electric bulb while taking a bath. Voltage in each situation is equal to 220V find the resistance of the electrician?

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What is Resistance

opposition to current flow

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Ohm's Law States

When electrical potential creates a flow of electricity, the current and electrical resistance are proportional to the voltage.

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Total Resistance (Series)

In series, total resistance is the direct sum of each resistor's value.

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Total Resistance (Parallel)

In parallel, the reciprocal of the total resistance is the sum of the reciprocals of each resistor.

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Series-Parallel Circuit

A circuit with both series and parallel connections.

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Voltage: Parallel Capacitors

In parallel, voltage is the same across each capacitor.

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Charge: Series Capacitors

In series, charge is the same on each capacitor.

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Total Charge Calculation

Charge (Q) equals current (I) times time (t): Q = It.

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Finding # of Electrons

Divide the total charge by the charge of one electron.

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Electrodynamics Defined

Branch of physics studying interaction of electric currents with magnets and other currents.

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Electric Current Explained

Amount of charge passing through a conductor per unit time.

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Electrician's shock (wet)

More current flow due to low charge on body

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Current Increase in a Circuit

The total current increases due to faster electrons and increased heat.

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Household Lighting

Household lights are connected in parallel so that if one light goes out, the others stay on.

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Charge on a Capacitor Formula

Multiply capacitance (C) by voltage (V). q = CV

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Calculating Stored Charge

Multiply capacitance (C) by voltage (V): q = CV

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Parallel Capacitor: Area

The bigger the area of the plates, the greater the capacitance.

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Parallel Capacitor: Distance

The closer the plates, the greater the capacitance.

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Total Capacitance: Parallel

In parallel, Ctotal = C1 + C2 + C3 + ...

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Total Capacitance: Series

In series, 1/Ctotal = 1/C1 + 1/C2 + 1/C3 + ...

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Voltage in Parallel Circuits

In parallel, the voltage is the same across each capacitor.

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Charge in Series Circuits

In series, the charge is the same on each capacitor.

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Capacitance Definition

The ability to store electric charge.

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One Volt

Voltage needed to drive one ampere of current through one ohm of resistance.

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One Ampere

Current that flows in one second due to one volt across one ohm.

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One Ohm

Opposition to one ampere of current flow with one volt applied. The opposition of one current is know as 1 ohm.

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Ohm's Law Defined

The relationship between voltage, current, and resistance in an electrical circuit.

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Electric Current Simplified

The continuous flow of electric charge (electrons) through a conductor.

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Electric Current Formula

The quantity of electric charge flowing past a point in a circuit per unit time.

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Collisions in a Wire

The source of resistance to an electric current.

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Cross-Sectional Area & Resistance

Thinner wires increase opposition to current flow.

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Total Resistance: Series

Total resistance in a series circuit is the sum of all individual resistances: Rtotal = R1 + R2 + R3 + ...

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Total Resistance: Parallel

The inverse of the total resistance is equal to the sum of the inverses of each individual resistance: 1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ...

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Charge (q) in a capacitor

Capacitance (in Farads) multiplied by Voltage (in Volts) equals the stored Charge (in Coulombs).

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q = CV Meaning

Capacitance (C) equals Charge (q) divided by Voltage (V).

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Capacitance and Plate Distance

Closer plates increase the electric field strength, leading to greater capacitance.

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Voltage in Series: Solved

In Series, = Q/ = 600/6 = 100V.

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Voltage in Parallel: Solved

In Parallel: The same voltage across each capacitor in parallel.

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Capacitor Energy

The electric potential energy stored in the capacitor.

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Ampere (A)

SI unit of current; one coulomb per second.

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Calculating Resistance

Voltage divided by current (V/I). Its unit is ohms (Ω).

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Current Formula

The amount of electric charge flowing per unit time (I = Q/t).

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Calculate Total Charge

Multiply current by the time the current flows Q = It.

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What is an Ohm?

SI unit of electrical resistance.

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Length vs Resistance

The longer the wire, the higher the resistance.

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Wire Thickness vs Resistance

The thinner the wire, the higher the resistance.

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What is Resistivity?

Material property affecting resistance.

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What is a Power Rating?

Maximum rate a component converts electrical power.

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Voltage Drop Calculation

Multiply current (I) by resistance to find the voltage drop across that resistor.

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Parallel vs. Series (Lights)

Parallel is better because if one light fails, the others still light.

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Home Circuit Type

Household lights are connected in parallel so individual lights can be turned on/off without affecting others.

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Capacitor Charge Calculation

The amount of charge on either plate when a capacitor with capacitance C is connected to a voltage V.

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Total Voltage (Series)

The total voltage is equal to the sum of individual voltages.

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Area of Plates and Capacitance

Capacitance is directly proportional to the area of the plates.

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Distance Between Plates and Capacitance

Capacitance is inversely proportional to the distance between the plates.

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Insulating Material and Capacitance

The insulating material between capacitor plates affects capacitance.

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Capacitor Energy Formula

Energy = 1/2 * Capacitance * Voltage^2

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How to calculate resistance?

The ratio of voltage to current (R = V/I).

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SI unit of electric current?

Ampere (A)

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How to find Total Charge (Q)?

Q = It, where Q is charge, I is current, and t is time.

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What electrical resistance?

Opposition to the flow of electric current.

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What is the formula of resistance?

Voltage divided by current (R=V/I)

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Resistance in Wires

Opposition to current flow in a wire.

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Formula for calculating a Q

Multiply current (I) by time (t): Q = It.

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Capacitor Plate Area

The bigger the area of the plates, the greater the capacitance.

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Capacitor Plate Distance

The closer the plates, the greater the capacitance.

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Capacitor Insulating Material

Different materials between capacitor plates affect capacitance.

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Calculating Voltage

Multiply Charge by Voltage (V = q/C).

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What is the voltage amount?

Current is 5A, Resistance is 10Ω .

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Factors Affecting Resistance

The opposition to current flow depends on material, length, and area.

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Total Charge

The amount of total charge that has passed a point in a circuit.

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Current and Energy Use

Total current increases, leading to faster electrons and hotter wires due to energy usage.

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Parallel Resistors Total Resistance Equation

1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ...

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Series Resistors Total Resistance equation

Rtotal = R1 + R2 + R3 + ...

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Voltage in Series Circuits

Voltage adds up across each resistor.

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Current in Series Circuits

Current is the same through each resistor.

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Plate Area and Capacitance

Capacitance increases with larger plate area.

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Plate Distance and Capacitance

Capacitance increases as plate distance decreases.

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Finding Circuit Voltage

Voltage is the charge divided by the circuit capacitance.

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Finding Charge

The charge is the voltage times the capacitance.

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Energy Formula

Energy equals one-half times charge times voltage:

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Finding the Voltage

Divide the charge by Capacitance.

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Capacitance of the circuit

The total capacitance can be found by dividing the charge divide by V

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Current and Circuit Heat

The total current increases, resulting in faster electrons and a hotter wire as energy is used quicker.

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Christmas Lights: Parallel vs. Series

In parallel, if one light fails, the others stay on because each has an independent path.

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Series Circuit Defined

Components are connected end-to-end, forming a single path for the current.

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Parallel Circuit Defined

Components are arranged side-by-side, splitting the current across multiple paths.

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q = CV

The relationship between charge, capacitance, and voltage: Charge equals capacitance times voltage.

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Plate Distance & Capacitance

Capacitance increases as the distance between plates decreases.

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Insulating Material (Dielectric)

Material between capacitor plates that affects capacitance.

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Total Series Capacitance

The inverse of the sum of inverse capacitances: 1/Ctotal = 1/C1 + 1/C2 + ...

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Study Notes

  • Electrodynamics is a physics branch studying electric current interactions with magnets, other currents, or themselves.

Ohm's Law

  • Describes the relationship between voltage, current, and resistance in an electrical circuit.
  • If two of the three quantities (voltage, current, resistance) are known, the third can be calculated.
  • It applies to alternating current (AC), direct current (DC), and radio frequency (RF) circuits.
  • Voltage (V) is the electrical potential or "pressure" that drives electrons; it is measured in volts.
  • Current (I) is the flow of electrical charge, measured in amperes (A).
  • Resistance (R) opposes current flow and is measured in ohms (Ω).
  • Power is the amount of current times the voltage level, measured in watts.
  • The formulas:
    • V = IR
    • I = V/R
    • R = V/I

Electric Current

  • Analogous to a water pump creating pressure difference, electric current is the amount of charge passing through a conductor per unit time.
  • The SI unit for current is the ampere (A).
  • 1 Ampere equals 1 Coulomb of charge flowing in 1 second.
  • I = Q/t, where I is current in amperes, Q is charge in coulombs, and t is time in seconds.

Resistance

  • Resistance opposes current flow.
  • Greater electrical resistance for a given voltage results in less electric current.
  • As charge moves through a wire, it collides with atoms, impeding current flow; more collisions increase resistance.
  • The Ohm (Ω) is the SI unit of electrical resistance.
  • R = ρ(l/A), with ρ being the resistivity, l the length of the wire and A the cross-sectional area.

Factors Affecting Resistance in Wires

  • Length: longer wires have greater resistance.
  • Cross-sectional area: thinner wires have greater resistance.
  • Temperature: hotter wires have greater resistance.
  • Resistivity: material-dependent property impacting resistance
  • Thickness: smaller diameter wires have more resistance
  • Less to More Resistant examples
    • Carbon (Graphene) 1 x 10^-8
    • Lead 2.2 x 10^-7
    • Sea water 2 x 10^1
    • Air 1.3 x 10^16 to 3.3 x 10^16

Electric Power Rating

  • Electrical components have a "power rating" in watts
  • It indicates the maximum rate at which the component converts electrical power into other forms of energy like heat, light, or motion.

Series Circuits

  • Components are connected end-to-end.
  • This forms a single loop for current flow.
  • Electrons have only one path to flow.
  • If one component fails (e.g., a bulb blows), the entire circuit breaks, and all components stop working.

Parallel Circuits

  • Components are connected side by side.
  • There are multiple paths for current flow.
  • If one component fails, the other components can still function because there's a complete circuit through other paths.
  • Advantages
    • The more devices (resistors) in a parallel circuit, does not decrease the current; bulbs do not dim.
    • If one resistor breaks (a bulb goes out), the rest do not.
  • Current characteristics
    • Current doesn't stay the same for the entire circuit.
    • Energy is used up more quickly.
    • Total current increases result in faster electrons and a hotter wire.

Series vs. Parallel Circuits

Feature Series Parallel
Voltage Vin = V1 + V2 + V3 Vin = V1 = V2 = V3
Current Iseries = I1 = I2 = I3 Iin = I1 + I2 + I3
Resistance Req = R1 + R2 + R3 1/Req = 1/R1 + 1/R2 + 1/R3
Component Failure Current becomes inactive Functioning of rest circuit is unimpaired

Combination Circuits

  • Combination circuits include both parallel and series circuit elements.
  • The approach to finding total resistance involves simplifying parallel sections and then adding series resistances.

Capacitors

  • Capacitors store electrical energy.
  • They consist of two conductors in close proximity, separated by an insulator.
  • Formulas:
    • CV = q
      • C = Capacitance (Farads)
      • V = Voltage (Volts)
      • q = Charge (Coulombs)
    • C = εA/d
      • ε = Permittivity
      • A = Area of plate overlap
      • d = Distance between plates

Factors Affecting Parallel Capacitors

  • Area of plates: larger area increases capacitance.
  • Distance between plates: closer plates increase capacitance.
  • Insulating material: affects capacitance.

Series vs. Parallel Capacitors

Feature Parallel Series
Capacitance ++
Voltage
Charge

Energy Stored in a Capacitor

  • The energy stored is electric potential energy related to voltage and charge.
  • Formulas:
    • E = (1/2)QV
    • E = (1/2)CV²
    • E = Q²/2C

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