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Q. A circle is inscribed in a square of side 8 cm. What is the area of the circle? (2022)

A. 50.24 cm²
B. 64 cm²
C. 25.12 cm²
D. 32 cm²

Solution

Radius = 8/2 = 4 cm; Area = πr² = π * 4² = 50.24 cm².

Correct Answer: A — 50.24 cm²

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Q. A circuit consists of a 9V battery and two resistors of 3Ω and 6Ω in series. What is the current flowing through the circuit? (2021)

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

Solution

Total resistance R = 3Ω + 6Ω = 9Ω. Current I = V/R = 9V / 9Ω = 1A.

Correct Answer: B — 2A

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Q. A circuit contains a 12V battery and two resistors of 4Ω and 6Ω in parallel. What is the total current supplied by the battery? (2019)

A. 1.2 A
B. 2 A
C. 3 A
D. 4 A

Solution

First, find the equivalent resistance R_eq = 1/(1/4 + 1/6) = 2.4Ω. Then, I = V/R_eq = 12V/2.4Ω = 5 A.

Correct Answer: C — 3 A

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Q. A circuit has a 15V battery and a 5Ω resistor. What is the voltage drop across the resistor? (2021)

A. 3V
B. 5V
C. 15V
D. 10V

Solution

The voltage drop across the resistor is equal to the battery voltage, which is 15V.

Correct Answer: C — 15V

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Q. A circuit has a 15V battery and a total resistance of 5Ω. What is the total current flowing through the circuit? (2023)

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

Solution

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

Correct Answer: C — 3A

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Q. A circuit has a 24V battery and a total resistance of 12Ω. What is the current flowing through the circuit? (2020)

A. 2A
B. 4A
C. 6A
D. 8A

Solution

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

Correct Answer: B — 4A

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Q. A circuit has a 24V battery and a total resistance of 6Ω. What is the current flowing through the circuit? (2020)

A. 4A
B. 6A
C. 8A
D. 2A

Solution

Using Ohm's law, I = V/R = 24V / 6Ω = 4A.

Correct Answer: A — 4A

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Q. A circuit has a 5Ω resistor and a 10Ω resistor in parallel. What is the total current if the voltage across them is 20V? (2021)

A. 2A
B. 4A
C. 6A
D. 8A

Solution

First, find the equivalent resistance: 1/R_eq = 1/5 + 1/10 = 3/10, so R_eq = 10/3Ω. Then, I = V/R_eq = 20V / (10/3)Ω = 6A.

Correct Answer: D — 8A

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Q. A circuit has a 9V battery and a 3Ω resistor. What is the voltage drop across the resistor? (2022)

A. 3V
B. 6V
C. 9V
D. 12V

Solution

The voltage drop across the resistor is equal to the battery voltage in a simple circuit: 9V.

Correct Answer: C — 9V

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Q. A circuit has a 9V battery and two resistors of 3Ω and 6Ω in series. What is the current flowing through the circuit? (2022)

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

Solution

Total resistance R = 3Ω + 6Ω = 9Ω. Current I = V/R = 9V / 9Ω = 1A.

Correct Answer: B — 2A

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Q. A circuit has a current of 2A and a resistance of 6Ω. What is the voltage across the circuit? (2020)

A. 6V
B. 12V
C. 8V
D. 10V

Solution

Using Ohm's Law, V = I * R = 2A * 6Ω = 12V.

Correct Answer: B — 12V

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Q. A circuit has a current of 3A and a resistance of 6Ω. What is the voltage across the circuit? (2019)

A. 9V
B. 18V
C. 3V
D. 6V

Solution

Using Ohm's Law, V = I * R = 3A * 6Ω = 18V.

Correct Answer: A — 9V

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Q. A circuit has a current of 5A and a resistance of 10Ω. What is the power consumed in the circuit? (2020)

A. 25W
B. 50W
C. 75W
D. 100W

Solution

Power (P) can be calculated using P = I^2 * R = (5A)^2 * 10Ω = 25 * 10 = 250W.

Correct Answer: B — 50W

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Q. A circuit has a current of 5A and a resistance of 2Ω. What is the power consumed in the circuit? (2020)

A. 10W
B. 25W
C. 50W
D. 100W

Solution

Power (P) can be calculated using the formula P = I^2 * R = (5A)^2 * 2Ω = 25W.

Correct Answer: B — 25W

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Q. A circuit has a current of 5A and a resistance of 2Ω. What is the voltage across the circuit? (2020)

A. 10V
B. 5V
C. 2.5V
D. 15V

Solution

Using Ohm's Law, V = I * R = 5A * 2Ω = 10V.

Correct Answer: A — 10V

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Q. A circuit has a resistance of 10 Ω and a reactance of 10 Ω. What is the impedance of the circuit? (2020)

A. 10 Ω
B. 14.14 Ω
C. 20 Ω
D. 5 Ω

Solution

The impedance Z = √(R² + X²) = √(10² + 10²) = √200 = 14.14 Ω.

Correct Answer: B — 14.14 Ω

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Q. A circuit has a resistance of 10Ω and a reactance of 5Ω. What is the impedance of the circuit? (2021)

A. 5Ω
B. 10Ω
C. √125Ω
D. √(10² + 5²)Ω

Solution

The impedance Z is calculated as Z = √(R² + X²) = √(10² + 5²) = √125Ω.

Correct Answer: D — √(10² + 5²)Ω

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Q. A circuit has a resistance of 10Ω and a reactance of 5Ω. What is the impedance? (2020)

A. 5Ω
B. 10Ω
C. √125Ω
D. √(10² + 5²)Ω

Solution

The impedance Z = √(R² + X²) = √(10² + 5²) = √125Ω.

Correct Answer: D — √(10² + 5²)Ω

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Q. A circuit has a resistance of 4 ohms and a current of 2 A. What is the voltage across the circuit?

A. 2 V
B. 4 V
C. 6 V
D. 8 V

Solution

Using Ohm's Law, V = I × R. Here, I = 2 A and R = 4 ohms. Thus, V = 2 × 4 = 8 V.

Correct Answer: D — 8 V

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Q. A circuit has a total resistance of 12Ω and a current of 1.5A. What is the voltage across the circuit? (2021)

A. 18V
B. 12V
C. 15V
D. 9V

Solution

Using Ohm's law, V = IR = 1.5A * 12Ω = 18V.

Correct Answer: A — 18V

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Q. A circuit has a total resistance of 12Ω and a current of 2A. What is the voltage across the circuit? (2021)

A. 24V
B. 12V
C. 6V
D. 48V

Solution

Using Ohm's law (V = IR), V = 2A * 12Ω = 24V.

Correct Answer: A — 24V

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Q. A circuit has a total resistance of 20Ω and a current of 2A flowing through it. What is the voltage across the circuit? (2023)

A. 30V
B. 40V
C. 20V
D. 10V

Solution

Using Ohm's law, V = I * R = 2A * 20Ω = 40V.

Correct Answer: B — 40V

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Q. A circuit has a total resistance of 5Ω and a current of 2A. What is the voltage across the circuit? (2023)

A. 10V
B. 5V
C. 2V
D. 1V

Solution

Using Ohm's law, V = I * R = 2A * 5Ω = 10V.

Correct Answer: A — 10V

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Q. A circuit has a total resistance of 8Ω and a current of 4A flowing through it. What is the voltage across the circuit? (2021)

A. 32V
B. 16V
C. 8V
D. 4V

Solution

Using Ohm's law, V = I * R = 4A * 8Ω = 32V.

Correct Answer: A — 32V

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Q. A circuit has a total resistance of 8Ω and a current of 4A. What is the voltage across the circuit? (2021)

A. 32V
B. 16V
C. 8V
D. 4V

Solution

Using Ohm's law, V = I * R = 4A * 8Ω = 32V.

Correct Answer: A — 32V

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Q. A circuit has a total voltage of 24V and a total current of 4A. What is the total resistance in the circuit? (2021)

A. 6Ω
B. 8Ω
C. 4Ω
D. 12Ω

Solution

Using Ohm's law, R = V/I = 24V / 4A = 6Ω.

Correct Answer: B — 8Ω

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Q. A circuit has a total voltage of 24V and a total resistance of 8Ω. What is the total current in the circuit? (2020)

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

Solution

Using Ohm's law, I = V/R = 24V / 8Ω = 3A.

Correct Answer: A — 3A

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Q. A circular loop of wire carries a current. What is the shape of the magnetic field lines around the loop? (2021)

A. Straight lines
B. Concentric circles
C. Ellipses
D. Spirals

Solution

The magnetic field lines around a circular loop of wire carrying current are in the form of concentric circles.

Correct Answer: B — Concentric circles

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Q. A circular loop of wire carrying current produces a magnetic field. What is the shape of the magnetic field lines inside the loop? (2020)

A. Straight lines
B. Concentric circles
C. Parallel lines
D. Uniform field

Solution

Inside the loop, the magnetic field lines are nearly uniform and parallel, indicating a strong and consistent magnetic field.

Correct Answer: D — Uniform field

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Q. A circular loop of wire carrying current produces a magnetic field. What is the shape of the magnetic field lines? (2020)

A. Straight lines
B. Concentric circles
C. Ellipses
D. Spirals

Solution

The magnetic field lines around a circular loop of wire are concentric circles centered on the axis of the loop.

Correct Answer: B — Concentric circles

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