Current, Resistance and Ohm's Law for Competitive Exams

Current, Resistance and Ohms Law

Q. If a capacitor of 5 µF is charged to a voltage of 10 V, what is the charge stored in the capacitor?

A. 50 µC
B. 100 µC
C. 25 µC
D. 75 µC

Solution

Charge (Q) = C * V = 5 µF * 10 V = 50 µC.

Correct Answer: A — 50 µC

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Q. If a circuit has a total current of 5 A and a total resistance of 10 Ω, what is the total voltage?

A. 50 V
B. 25 V
C. 10 V
D. 5 V

Solution

Using Ohm's Law, V = I * R = 5 A * 10 Ω = 50 V.

Correct Answer: A — 50 V

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Q. If a circuit has a voltage of 12 V and a resistance of 4 Ω, what is the current flowing through the circuit?

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

Solution

Using Ohm's Law, I = V/R = 12 V / 4 Ω = 3 A.

Correct Answer: A — 3 A

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Q. In a circuit with a 12 V battery and a resistor of 4 Ω, what is the current flowing through the circuit?

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

Solution

Using Ohm's Law: I = V/R = 12 V / 4 Ω = 3 A.

Correct Answer: A — 3 A

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Q. In a parallel circuit with a 12 V supply, what is the voltage across each resistor?

A. 12 V
B. 6 V
C. 24 V
D. 0 V

Solution

In a parallel circuit, the voltage across each component is equal to the supply voltage, so it is 12 V.

Correct Answer: A — 12 V

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Q. What is the capacitance of a capacitor that stores 0.01 C of charge at a voltage of 5 V?

A. 0.002 F
B. 0.01 F
C. 0.005 F
D. 0.02 F

Solution

Using the formula C = Q/V = 0.01 C / 5 V = 0.002 F.

Correct Answer: A — 0.002 F

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Q. What is the current through a 10 Ω resistor if the voltage across it is 30 V?

A. 3 A
B. 1 A
C. 5 A
D. 2 A

Solution

Using Ohm's Law: I = V/R = 30 V / 10 Ω = 3 A.

Correct Answer: A — 3 A

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Q. What is the energy stored in a capacitor of 4 µF charged to a voltage of 12 V?

A. 0.288 mJ
B. 0.576 mJ
C. 0.144 mJ
D. 0.072 mJ

Solution

Using the formula U = 1/2 * C * V^2 = 1/2 * 4 x 10^-6 F * (12 V)^2 = 0.288 mJ.

Correct Answer: B — 0.576 mJ

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Q. What is the equivalent capacitance of two capacitors of 4 µF and 6 µF connected in series?

A. 2.4 µF
B. 10 µF
C. 1.5 µF
D. 3.6 µF

Solution

1/C_total = 1/C1 + 1/C2 = 1/4 µF + 1/6 µF = 1.2 µF, so C_total = 2.4 µF.

Correct Answer: A — 2.4 µF

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Q. What is the power dissipated in a resistor of 8 Ω carrying a current of 2 A?

A. 16 W
B. 4 W
C. 8 W
D. 2 W

Solution

Power (P) = I^2 * R = (2 A)^2 * 8 Ω = 16 W.

Correct Answer: A — 16 W

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Q. What is the total resistance of three resistors of 2 Ω, 3 Ω, and 5 Ω connected in series?

A. 10 Ω
B. 5 Ω
C. 3 Ω
D. 2 Ω

Solution

In series, R_total = R1 + R2 + R3 = 2 Ω + 3 Ω + 5 Ω = 10 Ω.

Correct Answer: A — 10 Ω

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Current, Resistance and Ohms Law

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