DC Circuits and Kirchhoff's Laws

DC Circuits and Kirchhoffs Laws - Capacitance and Dielectrics

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

A. 0.25 mJ
B. 0.5 mJ
C. 0.75 mJ
D. 1.0 mJ

Solution

Energy stored, 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. If a capacitor of 5 µF is charged to a voltage of 10V, what is the stored energy?

A. 0.25 mJ
B. 0.5 mJ
C. 0.75 mJ
D. 1 mJ

Solution

Energy stored, 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. In a circuit with a 24V battery and two resistors in series (4Ω and 8Ω), what is the voltage drop across the 8Ω resistor?

A. 8V
B. 12V
C. 16V
D. 20V

Solution

Total resistance R = 4Ω + 8Ω = 12Ω. Current I = V/R = 24V / 12Ω = 2A. Voltage drop across 8Ω = I * R = 2A * 8Ω = 16V.

Correct Answer: B — 12V

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Q. In a circuit with a 24V battery and two resistors in series (8Ω and 4Ω), what is the voltage drop across the 4Ω resistor?

A. 6 V
B. 8 V
C. 12 V
D. 4 V

Solution

Total resistance = 8Ω + 4Ω = 12Ω. Current I = V/R = 24V / 12Ω = 2A. Voltage drop across 4Ω = I * R = 2A * 4Ω = 8 V.

Correct Answer: A — 6 V

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Q. Using Kirchhoff's Voltage Law, if a loop has a 12V source and two resistors of 3Ω and 4Ω, what is the voltage drop across the 3Ω resistor?

A. 4.29V
B. 5.14V
C. 3.43V
D. 6.0V

Solution

Total resistance R = 3Ω + 4Ω = 7Ω. Total current I = V/R = 12V / 7Ω = 1.71A. Voltage drop across 3Ω = I * R = 1.71A * 3Ω = 5.14V.

Correct Answer: B — 5.14V

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Q. What is the potential difference across a capacitor of 10 µF when it stores a charge of 20 µC?

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

Solution

Using the formula Q = C * V, V = Q / C = 20 x 10^-6 C / 10 x 10^-6 F = 2 V.

Correct Answer: A — 2 V

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Q. What is the potential difference across a capacitor of 8 µF charged with 16 µC?

A. 2V
B. 4V
C. 8V
D. 12V

Solution

Voltage V = Q/C = 16 x 10^-6 C / 8 x 10^-6 F = 2V.

Correct Answer: B — 4V

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Q. What is the potential difference across a capacitor of 8 µF if it stores a charge of 16 µC?

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

Solution

Using the formula Q = C * V, we have V = Q / C = 16 x 10^-6 C / 8 x 10^-6 F = 2V.

Correct Answer: B — 2V

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Q. What is the total current in a parallel circuit with two branches, one with 2A and the other with 3A?

A. 5A
B. 6A
C. 3A
D. 2A

Solution

In a parallel circuit, total current I_total = I1 + I2 = 2A + 3A = 5A.

Correct Answer: A — 5A

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

A. 1Ω
B. 0.75Ω
C. 1.5Ω
D. 2.5Ω

Solution

1/R_eq = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/6 = 1. R_eq = 0.75Ω.

Correct Answer: B — 0.75Ω

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Q. What is the voltage across a 10Ω resistor if a current of 3A flows through it?

A. 30 V
B. 15 V
C. 10 V
D. 20 V

Solution

Using Ohm's law, V = I * R = 3A * 10Ω = 30 V.

Correct Answer: A — 30 V

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Q. What is the voltage across a 10Ω resistor if the current flowing through it is 3A?

A. 30V
B. 10V
C. 15V
D. 20V

Solution

Using Ohm's law, V = I * R = 3A * 10Ω = 30V.

Correct Answer: A — 30V

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Showing 1 to 12 of 12 (1 Pages)

DC Circuits and Kirchhoffs Laws - Capacitance and Dielectrics

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