Direct Current and Circuit Laws

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Questions and Answers

What is the primary advantage of using AC over DC for power transmission?

  • AC has a lower resistance in circuits compared to DC.
  • AC is generated at higher voltages than DC.
  • AC can power more appliances than DC.
  • AC can transmit power over long distances with minimal energy loss. (correct)

In a series R-L circuit, what is the final steady-state current when connected to a DC supply?

  • It is determined solely by the inductance of the circuit.
  • It becomes constant and can be calculated using $I = \frac{V}{R}$ after a time delay. (correct)
  • It is calculated using the formula $I = \frac{V}{R + Z}$.
  • It is dependent on the frequency of the AC supply.

Which components are involved in an RLC circuit?

  • Inductor, Capacitor, Transformer.
  • Resistor, Capacitor, Transformer.
  • Resistor, Diode, Inductor.
  • Resistor, Capacitor, Inductor. (correct)

What role does a transformer play in relation to AC power?

<p>It increases or decreases voltage levels of AC. (A)</p> Signup and view all the answers

How does the inductance of a coil affect its performance in an RL circuit?

<p>It increases the time constant, affecting how quickly current stabilizes. (A)</p> Signup and view all the answers

What happens to a conductor when an electric current passes through it?

<p>It becomes hot over time. (B)</p> Signup and view all the answers

Which of the following equations correctly represents the relationship between power, work, and time?

<p>$P = W / t$ (D)</p> Signup and view all the answers

What is the unit of power dissipation in electrical circuits?

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

How can the power dissipation across a component in a circuit be calculated?

<p>By multiplying current with voltage. (C)</p> Signup and view all the answers

Which factor does NOT directly contribute to power dissipation in a circuit?

<p>Size of the circuit wire. (B)</p> Signup and view all the answers

If a current of 2 Amperes flows through a resistor with a voltage drop of 10 Volts, what is the power dissipation?

<p>10 Watts (D)</p> Signup and view all the answers

What is the definition of frequency in the context of alternating current?

<p>The number of cycles per second. (D)</p> Signup and view all the answers

What is indicated by the term 'effective value' of alternating current?

<p>The root mean square value of current. (D)</p> Signup and view all the answers

What is a key characteristic of direct current (DC)?

<p>The flow of charge is always in the same direction. (B)</p> Signup and view all the answers

How is electromotive force (EMF) related to terminal potential difference?

<p>EMF is equal to terminal potential difference when no current flows. (D)</p> Signup and view all the answers

Which equation accurately represents the relationship between EMF and internal resistance?

<p>ϵ = V + Ir (B)</p> Signup and view all the answers

Which statement describes Kirchhoff's Current Law (KCL)?

<p>It states that the current entering a junction equals the current leaving it. (C)</p> Signup and view all the answers

What does Kirchhoff's Voltage Law (KVL) state about voltages in a closed loop?

<p>The sum of all voltages in a closed loop equals zero. (A)</p> Signup and view all the answers

What role does internal resistance play in an emf measurement?

<p>It contributes to the overall voltage across a load. (A)</p> Signup and view all the answers

Which of the following best defines electromotive force (EMF)?

<p>The energy provided by a source per unit charge. (B)</p> Signup and view all the answers

Kirchhoff's circuit laws are foundational for which type of analysis?

<p>Network analysis in both time and frequency domains. (D)</p> Signup and view all the answers

What does the effective value of an AC current refer to?

<p>The root mean square (RMS) value of the current (C)</p> Signup and view all the answers

Given a peak voltage of 400 V, what would be the RMS value?

<p>282.8 V (D)</p> Signup and view all the answers

In an AC circuit, if the impedance Z is defined as the ratio of voltage to current, which factor additionally must be considered?

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

What is the capacitive time constant (tau) commonly associated with?

<p>The charging and discharging rate of the capacitor (B)</p> Signup and view all the answers

In an RC circuit, which component is responsible for blocking steady current?

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

How is the impedance Z calculated in a series R-C circuit?

<p>Z = √(R^2 + XC^2) (B)</p> Signup and view all the answers

What happens to the current in an RL circuit when the switch is closed?

<p>It takes time to reach maximum due to back emf (C)</p> Signup and view all the answers

What is the formula for calculating the RMS value of an AC current given the peak value?

<p>RMS = peak value x 0.707 (C)</p> Signup and view all the answers

Flashcards

Direct Current (DC)

An electric current that flows in only one direction. It is used in devices that use batteries, like your phone.

Electromotive Force (EMF)

The energy provided by a battery to each coulomb of charge passing through it. Measured in volts.

Terminal Potential Difference (V)

The potential difference across a battery when no current flows. Also measured in volts.

Kirchhoff's Current Law (KCL)

States that the sum of all currents entering a junction in a circuit is equal to the sum of all currents leaving that junction.

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Internal Resistance (r)

The internal resistance of a battery. It affects the amount of energy delivered to the circuit.

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Kirchhoff's Voltage Law (KVL)

The sum of all voltage drops around a closed loop in a circuit is equal to zero.

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Terminal Resistance (R)

The resistance of the load in a circuit, excluding the internal resistance of the battery.

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EMF Equation: ϵ = V + Ir

Applies Ohm's Law to a circuit with a battery and internal resistance, relating EMF, terminal potential difference, current, and resistance.

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Power Dissipation

The rate at which energy is consumed or generated in an electrical circuit. It is measured in watts (W).

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Power Rule

The product of voltage (V) and current (I) flowing through a circuit element. Formula: P = I × V

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Heating Effect of Electric Current

The effect of electric current causing a conductor to heat up due to resistance. Example: A light bulb heats up when current flows through it.

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Instantaneous Value

The value of a voltage or current at a specific moment in time.

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Frequency

The number of complete cycles of an alternating current (AC) waveform per second. Measured in Hertz (Hz).

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Time Period

The time it takes for one complete cycle of an AC waveform. It is denoted by the letter T.

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Waveform

A graphical representation of an alternating variable (voltage or current) plotted against time.

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Effective Value (RMS)

The effective value of an alternating current, calculated as the root-mean-square (RMS) value. It represents the equivalent DC value that produces the same amount of power.

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What is the effective value of AC current?

The effective value of an AC current is the RMS value or root mean square value, which is calculated by taking the square root of the average of the squares of the instantaneous values of the current over one cycle.

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How is the effective value of an AC current calculated?

The effective value (RMS) of an AC current is equal to 0.707 times the peak value of the current.

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What is Ohm's Law for AC circuits?

Ohm's Law for AC circuits is similar to the DC version, but instead of resistance, it uses impedance (Z), which represents the total opposition to current flow in an AC circuit.

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What is impedance in AC circuits?

Impedance (Z) in an AC circuit is the combination of resistance (R) and reactance (X), which is the opposition to current flow due to capacitors or inductors in the circuit.

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What is a capacitor?

A capacitor is essentially a device that stores electrical energy in an electric field. It acts like an open circuit to direct current (DC) but allows alternating current (AC) to pass through.

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What is the capacitive time constant?

The capacitive time constant (Ï„) of an RC circuit is the time taken for the capacitor to charge to approximately 63.2% of its maximum charge. It's calculated by multiplying the capacitance (C) and the resistance (R) in the circuit.

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How is the impedance of a series R-C circuit calculated?

The impedance (Z) of a series R-C circuit is calculated using the Pythagorean theorem, where Z is the square root of the sum of the squares of resistance (R) and capacitive reactance (XC).

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What is an inductor?

An inductor is a coil of wire that stores energy in a magnetic field when current flows through it. It opposes changes in current, acting like a short circuit to DC but resisting AC.

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What is impedance in an R-L circuit?

In a series R-L circuit, impedance (Z) is the total opposition to the flow of alternating current. It combines the resistance (R) and the inductive reactance (XL) using the Pythagorean theorem.

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What is time constant in an RL circuit?

The time constant of an RL circuit represents the time it takes for the current to reach approximately 63.2% of its final steady-state value.

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What is an AC Circuit?

An AC circuit is an electrical circuit that utilizes alternating current (AC). It is commonly used in power systems and appliances.

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What is impedance in an RLC circuit?

Impedance (Z) in an RLC circuit is the total opposition to current flow, considering resistance (R), inductive reactance (XL), and capacitive reactance (XC). It is calculated using the Pythagorean theorem, combining all three components.

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Why is AC widely used in homes and offices?

AC is widely used in homes and offices for powering appliances because it can be easily transformed to high voltages for efficient transmission and back to low voltages for safe usage.

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Study Notes

Direct Current (DC)

  • Direct current (DC) flows in one direction
  • Amperage and direction of DC do not change
  • Used in many household electronics and battery-powered devices

Electromotive Force (EMF) in DC Circuits

  • EMF is equal to the terminal potential difference when no current flows
  • Measured in volts
  • EMF (ε) is the amount of energy (E) provided to each coulomb of charge (Q)
  • EMF can be written as ε = I(R + r), where I is current, R is resistance, and r is internal resistance
  • EMF can also be expressed as ε = V + Ir , where V is terminal voltage
  • EMF of a cell can be measured using a voltmeter and an ammeter across various resistances

Kirchhoff's Rules

  • Kirchhoff's Circuit Laws describe current and voltage in electrical circuits.
  • Kirchhoff's Current Law (KCL): Current entering a junction equals current leaving
  • Kirchhoff's Voltage Law (KVL): The algebraic sum of voltages around a closed loop is zero

Power Dissipation in a Direct Current Circuit

  • Power (P) is calculated as P = I × V, where I is current and V is voltage
  • Power is the rate of energy dissipation
  • Power dissipation in circuits is often measured in terms of heat released

Heating Effect of Electric Current

  • When current flows through a conductor, it heats up
  • This is known as the heating effect of electric current
  • Example: A lightbulb glows because of the heating effect

Instantaneous Value, Frequency, Time Taken, Waveform

  • Instantaneous value: Value of voltage or current at any given time
  • Frequency: Number of cycles per second of an alternating quantity
  • Time Taken: Time taken for one cycle of voltage or current
  • Waveform: Graph of instantaneous voltage/current values over time

Effective Value of an Alternating Current

  • Effective value (RMS value) is a measure of alternating current's effect
  • RMS value is 0.707 times the maximum value
  • RMS values are used when calculating power in AC circuits

Ohm's Law for AC Circuits

  • AC equivalent of Ohm's law uses impedance (Z)
  • Impedance is a complex quantity that includes resistance and reactance (like inductive, capacitive)
  • The phase angle is important for characterising AC circuits
  • Effective values of current and voltage are used in AC circuits

Resistor-Capacitor (RC) AC Circuit

  • A circuit with a resistor and a capacitor and an AC generator
  • Current cannot flow through a capacitor in a steady state
  • Capacitive time constant is t=RC

Resistor-Inductor (RL) AC Circuit

  • A circuit with a resistor, an inductor, and an AC generator
  • The inductor creates a back EMF
  • The time constant is t = L/R

Resistor-Inductor-Capacitor (RLC) AC Circuit

  • A circuit with a resistor, an inductor and a capacitor and an AC voltage source
  • Impedance of the circuit Z is determined using a phasor diagram

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