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Questions and Answers

Which of the following components is classified as a passive component?

  • Capacitor (correct)
  • SCR
  • Transistor
  • Battery

What role do active components play in a circuit?

  • Simply dissipate heat
  • Behave as sources of power (correct)
  • Store energy as magnetic fields
  • Act as energy sinks

Which statement accurately describes the power gain of passive components?

  • They convert thermal energy to electrical energy.
  • They can provide power gain more than unity.
  • They deliver power to the circuit.
  • They can only absorb electrical power. (correct)

Which of the following is true regarding the relationship between current and components in a series circuit?

<p>The current remains constant throughout all components. (D)</p> Signup and view all the answers

What type of energy do active components deliver to the circuit?

<p>Energy in various forms including electrical energy (C)</p> Signup and view all the answers

How do passive components function in the circuit?

<p>They convert electrical energy into other forms or store it. (A)</p> Signup and view all the answers

Which of the following components would NOT require an external power source to function?

<p>Capacitor (B), Resistor (D)</p> Signup and view all the answers

Which of the following statements about amplification is true?

<p>Only active components can amplify a signal. (B)</p> Signup and view all the answers

What is a defining characteristic of a series circuit?

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

How does a parallel circuit behave in relation to current?

<p>It divides total current within all branches. (C)</p> Signup and view all the answers

According to Ohm's law, which of the following correctly expresses the current through a resistor?

<p>$I = \frac{V}{R}$ (A)</p> Signup and view all the answers

What do Kirchhoff's laws primarily address in electrical circuits?

<p>Conservation of charge and energy. (D)</p> Signup and view all the answers

Which equation represents the current division rule for $I_1$?

<p>$I_1 = \frac{IR_2}{R_1 + R_2}$ (B)</p> Signup and view all the answers

What effect does changing the values of resistors $R_1$ and $R_2$ have on $I_1$ in a parallel circuit?

<p>Modifies $I_1$ based on the resistance ratio. (D)</p> Signup and view all the answers

What is the equivalent resistance formula for resistors in parallel?

<p>$R = \frac{R_1 R_2}{R_1 + R_2}$ (D)</p> Signup and view all the answers

Which equation can be derived from Kirchhoff's Second Law?

<p>$V = I_1R_1 + I_2R_2$ (B)</p> Signup and view all the answers

What is the primary function of a series circuit in relation to voltage?

<p>It divides the total supply voltage into different voltages. (C)</p> Signup and view all the answers

According to the voltage division rule, the voltage across a resistor in a series circuit can be calculated by what formula?

<p>V1 = V(R1/(R1 + R2)) (D)</p> Signup and view all the answers

In a parallel circuit, how is the current distributed between the branches?

<p>Proportional to the resistance of each branch. (A)</p> Signup and view all the answers

What causes the voltage across a resistor in a series circuit to be greater?

<p>Higher resistance values of other resistors. (B)</p> Signup and view all the answers

If a parallel circuit has two resistors, R1 and R2, with values 5Ω and 10Ω respectively, what would affect the current through R1 when total current I is known?

<p>The value of both R1 and R2. (C)</p> Signup and view all the answers

Which equation represents the total resistance in a series circuit when combining two resistors?

<p>R = R1 + R2 (B)</p> Signup and view all the answers

What is the relationship between voltage, current, and resistance as defined by Ohm's Law?

<p>V = I * R (C)</p> Signup and view all the answers

In the voltage division rule, what happens to the voltage across a resistor if its resistance is increased while keeping the total voltage constant?

<p>The voltage across the resistor will decrease. (D)</p> Signup and view all the answers

Flashcards

Active Component

A component that acts as a power source in a circuit and may provide power gain.

Passive Component

A component that acts as a load in a circuit; it cannot provide power gain.

Series Circuit current

The same current flows through all components in a series circuit.

Series Circuit voltage

The voltage across each component in a series circuit is different.

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Power Gain (Active)

Active components can amplify signals, with power gain >1.

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Power Gain (Passive)

Passive components cannot amplify signals, power gain <1.

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Passive component examples

Resistors, inductors, capacitors and transformers

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Active component examples

Transistors and SCRs

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Kirchhoff's First Law

The sum of currents entering a junction equals the sum of currents leaving the junction.

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Kirchhoff's Second Law

The sum of voltage drops around any closed loop in a circuit equals the sum of the voltage sources in that loop.

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Series Circuit

A circuit where components are connected end-to-end, creating a single path for current.

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Parallel Circuit

A circuit where components are connected across two common points, creating multiple paths for current.

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Current Divider Rule

Formula for calculating the current in a specific branch of a parallel circuit based on resistances of branches and total current.

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Voltage Divider Rule

Formula for calculating the voltage across a specific resistor in a circuit based on resistances and supplying voltage.

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Equivalent Resistance (Parallel)

Combined resistance of two or more resistors connected in parallel.

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Ohm's Law

Current is directly proportional to voltage and inversely proportional to resistance (I = V/R).

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Voltage Division Rule

In a series circuit, the voltage across a resistor is proportional to its resistance relative to the total resistance.

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Voltage across a resistor in series

(Voltage across resistor)= (resistance of resistor / total resistance)*(total voltage)

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Current Division in Parallel Circuit

The current in each branch of a parallel circuit is inversely proportional to its resistance.

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Current in a Parallel Branch

Current in a branch = (opposite branch resistance / sum of all resistances) * total circuit current

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Current Divider

The current is distributed among the paths proportionally to the reciprocal of the resistance.

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Total Resistance (Series)

The total resistance in a series circuit is the sum of the individual resistances.

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Study Notes

Electric Charge

  • Electric charge is a fundamental property of subatomic particles.
  • It gives rise to forces in electric and magnetic fields.
  • Two types exist: positive and negative.
  • Protons are positively charged, electrons negatively charged.
  • Like charges repel, unlike charges attract.
  • A neutral state occurs when positive and negative charges cancel each other out.

Electric Charge as a Vector Quantity

  • Electric charge is not a vector quantity.
  • It is a scalar quantity.
  • It has magnitude but no direction.
  • Vector addition laws like the triangle law and parallelogram law do not apply.

Coulomb's Law

  • Describes the strength of electrostatic force between two point charges.
  • Force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
  • Formula: Fe = kq₁q₂ / r²
  • k is Coulomb's constant (8.988 × 10⁹ N·m²/C²)
  • q₁ and q₂ are electric charges
  • r is the distance of separation.

Ampere

  • Unit of electric current.
  • One ampere (A) equals one coulomb (C) per second (s).
  • Named after André-Marie Ampère, a French physicist and mathematician.
  • Formula: A = C / s

Voltage

  • Electrical pressure that pushes current through a circuit.
  • Measured in volts (V).
  • Voltage is also known as Electromotive Force (EMF).
  • An example of voltage in a simple DC circuit is shown.

Voltage - Alternating Current (AC) and Direct Current (DC)

  • AC voltage reverses direction regularly.
  • Utilized by electrical grids world-wide and common in household appliances.
  • DC voltage is unidirectional.
  • Employed in battery-powered devices, like cell phones.
  • Explained with diagrams demonstrating a sine wave for AC, and a flat line for DC.

Potential Difference

  • A difference in potential energy between two points in a circuit.
  • Often used synonymously with voltage.
  • Measured in volts (V) and is a key concept in electronics.
  • Useful to explain how voltage "pressure" moves charge/current through the circuit.

Work and Energy

  • Work is the transfer of energy when a force moves an object.
  • Measured in joules (J).
  • Energy is the capacity to do work.
  • Scalar quantity.
  • Energy is conserved.

Active and Passive Components

  • Active components provide or gain electric power.
  • Examples include batteries, generators, transistors.
  • Passive components only absorb electrical energy.
  • Examples include resistors, inductors, capacitors.

Resistors in Series and Parallel Circuits

  • Series circuits: Current is the same in all components, voltages add up.
  • Parallel circuits: Voltage is the same across all components, currents add up.
  • Formulas for calculating total resistance for series and parallel circuits are provided.

Capacitors in Series and Parallel Circuits

  • Series circuits: The reciprocal of the total capacitance is the sum of the reciprocals of the individual capacitances.
  • Parallel Circuits: Total capacitance is the sum of the individual capacitances.
  • Formulas are provided for calculating the total capacitance for both series and parallel circuits.

Inductors

  • Inductance opposes changes in current, inducing an electromotive force (EMF) in the coil.
  • The unit of inductance (L) is Henry (H).
  • The rate of change of current produces a change in the magnetic field that induces an EMF in the opposite direction.

Mutual Inductance

  • Phenomenon where the varying magnetic field of a coil induces an EMF in a nearby coil.
  • The induced EMF is related to the rate of change of current in the primary coil.
  • Mutual inductance (M) is a measure of the amount of voltage induced in the secondary coil.

Kirchhoff's Laws

  • Current Law (1st Law): The sum of currents entering a junction equals the sum of currents leaving.
  • Voltage Law (2nd Law): The sum of voltages around a closed loop equals zero.
  • These laws describe relations in relationships in systems of electrical circuit components.

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