DC Circuits and Kirchhoff's Laws for Competitive Exams

DC Circuits and Kirchhoffs Laws - Electric Field Problems

Q. If a circuit has a total resistance of 12Ω and a total current of 2A, what is the total voltage supplied by the battery?

A. 12 V
B. 24 V
C. 36 V
D. 48 V

Solution

Using Ohm's law, V = I * R = 2A * 12Ω = 24 V.

Correct Answer: B — 24 V

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Q. If a circuit has a total resistance of 12Ω and a total voltage of 48V, what is the total current in the circuit?

A. 2 A
B. 3 A
C. 4 A
D. 6 A

Solution

Using Ohm's law, I = V/R = 48V / 12Ω = 4 A.

Correct Answer: C — 4 A

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Q. If a circuit has a total resistance of 12Ω and a voltage of 24V, what is the power consumed by the circuit?

A. 48 W
B. 24 W
C. 12 W
D. 36 W

Solution

Power P = V²/R = 24² / 12 = 48 W.

Correct Answer: A — 48 W

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Q. In a parallel circuit with three resistors of 2Ω, 3Ω, and 6Ω, what is the total resistance?

A. 1Ω
B. 2Ω
C. 3Ω
D. 4Ω

Solution

1/Rtotal = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/6 = 1Ω.

Correct Answer: A — 1Ω

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Q. What is the current through a 5Ω resistor if the voltage across it is 15V?

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

Solution

Using Ohm's law, I = V/R = 15V / 5Ω = 3 A.

Correct Answer: A — 3 A

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Q. What is the electric potential energy of a charge of +2 µC placed in an electric field of 500 N/C at a distance of 0.1 m?

A. 0.1 mJ
B. 0.2 mJ
C. 0.3 mJ
D. 0.4 mJ

Solution

Electric potential energy U = q * E * d = (2 x 10^-6 C) * (500 N/C) * (0.1 m) = 0.1 mJ.

Correct Answer: B — 0.2 mJ

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Q. What is the electric potential energy of a charge of +3 µC placed in an electric field of 2000 N/C at a distance of 0.5 m?

A. 3 J
B. 1.5 J
C. 0.3 J
D. 0.6 J

Solution

Potential energy U = q * E * d = (3 x 10^-6 C) * (2000 N/C) * (0.5 m) = 3 J.

Correct Answer: B — 1.5 J

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Q. What is the energy stored in a capacitor of 5µF charged to a voltage of 10V?

A. 0.25 mJ
B. 0.5 mJ
C. 1 mJ
D. 2.5 mJ

Solution

Energy (U) = 0.5 * C * V² = 0.5 * 5 x 10^-6 F * (10V)² = 0.25 mJ.

Correct Answer: B — 0.5 mJ

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Q. What is the potential difference between two points in an electric field of 5 N/C over a distance of 3 m?

A. 5 V
B. 10 V
C. 15 V
D. 20 V

Solution

V = E * d = 5 N/C * 3 m = 15 V.

Correct Answer: B — 10 V

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Q. What is the total current in a circuit with a 24V battery and two resistors of 8Ω and 4Ω in series?

A. 2 A
B. 3 A
C. 4 A
D. 6 A

Solution

Total resistance R = R1 + R2 = 8Ω + 4Ω = 12Ω. Current I = V/R = 24V / 12Ω = 2 A.

Correct Answer: B — 3 A

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DC Circuits and Kirchhoffs Laws - Electric Field Problems

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