Resistors, Capacitors, Inductors Basics for Exam Prep

Resistors, Capacitors, Inductors Basics - Applications

Q. If a capacitor has a capacitance of 10μF and is charged to 5V, what is the stored energy?

A. 0.125 mJ
B. 0.25 mJ
C. 0.5 mJ
D. 1 mJ

Solution

Energy stored in a capacitor is given by E = 0.5 * C * V^2 = 0.5 * 10μF * (5V)^2 = 0.125 mJ.

Correct Answer: A — 0.125 mJ

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Q. In a parallel circuit with a 12V source and two resistors of 6Ω and 12Ω, what is the total current drawn from the source?

A. 1 A
B. 2 A
C. 3 A
D. 4 A

Solution

Total current I = V/R_total. R_total = 1/(1/6 + 1/12) = 4Ω. Thus, I = 12V / 4Ω = 3 A.

Correct Answer: C — 3 A

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Q. In an AC circuit, what is the impedance of a circuit with a resistor of 5Ω and an inductor with a reactance of 3Ω?

A. 5Ω
B. 8Ω
C. 2Ω
D. 15Ω

Solution

Impedance Z = √(R^2 + X_L^2) = √(5^2 + 3^2) = √(25 + 9) = √34 ≈ 8Ω.

Correct Answer: B — 8Ω

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Q. What is the impedance of a circuit with a 10Ω resistor and a 5Ω inductor at a frequency of 60Hz (assuming inductive reactance of 3Ω)?

A. 7Ω
B. 8Ω
C. 10Ω
D. 13Ω

Solution

Impedance Z = √(R^2 + X_L^2) = √(10^2 + 3^2) = √(100 + 9) = √109 ≈ 13Ω.

Correct Answer: D — 13Ω

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Q. What is the Norton equivalent current for a circuit with a 10Ω resistor across a 20V source?

A. 0A
B. 2A
C. 4A
D. 20A

Solution

Norton current I_N = V / R = 20V / 10Ω = 2A.

Correct Answer: B — 2A

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Q. What is the Norton equivalent current of a circuit with a 12V source and a 4Ω resistor?

A. 3 A
B. 4 A
C. 6 A
D. 12 A

Solution

Norton current I_N = V / R = 12V / 4Ω = 3 A.

Correct Answer: A — 3 A

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Q. What is the power dissipated by a 10Ω resistor carrying a current of 2A?

A. 20 W
B. 40 W
C. 10 W
D. 5 W

Solution

Power P = I^2 * R = (2A)^2 * 10Ω = 4 * 10 = 40 W.

Correct Answer: A — 20 W

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Q. What is the Thevenin equivalent voltage across a load resistor in a simple circuit with a 12V source and a 4Ω resistor in series?

A. 0V
B. 4V
C. 12V
D. 8V

Solution

The Thevenin equivalent voltage is the open-circuit voltage, which is the source voltage, 12V.

Correct Answer: C — 12V

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Q. What is the Thevenin equivalent voltage of a circuit with a 10V source and a 5Ω resistor in series with a 10Ω resistor?

A. 10V
B. 5V
C. 15V
D. 0V

Solution

Thevenin equivalent voltage is the open-circuit voltage, which is 10V across the 5Ω resistor.

Correct Answer: A — 10V

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Q. What is the total current in a circuit with a 12V battery and three resistors (4Ω, 6Ω, and 12Ω) in series?

A. 0.5 A
B. 1 A
C. 2 A
D. 3 A

Solution

Total resistance R = 4Ω + 6Ω + 12Ω = 22Ω. Using Ohm's Law, I = V / R = 12V / 22Ω ≈ 0.545 A.

Correct Answer: B — 1 A

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Resistors, Capacitors, Inductors Basics - Applications

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