Circuits & Kirchhoff Laws for Competitive Exam Prep

Circuits & Kirchhoff Laws

Q. What is the total resistance in a circuit with a 10Ω resistor in series with a 5Ω resistor?

Solution

In series, total resistance (R_total) = R1 + R2 = 10Ω + 5Ω = 15Ω.

Correct Answer: C — 15Ω

Q. What is the total resistance in a circuit with a 12Ω resistor and a 4Ω resistor connected in series?

Solution

In series, total resistance R_total = R1 + R2 = 12Ω + 4Ω = 16Ω.

Correct Answer: A — 16Ω

Q. What is the total voltage across a parallel circuit with two branches, one with 10Ω and 20Ω resistors, if the total current is 3A?

Solution

Using the formula V = I * R_eq. First, find R_eq = 1 / (1/10 + 1/20) = 6.67Ω. Then, V = 3A * 6.67Ω = 20V.

Correct Answer: C — 12V

Q. What is the total voltage in a series circuit with a 9V battery and two resistors of 2Ω and 3Ω?

Solution

In a series circuit, the total voltage is equal to the voltage of the battery, which is 9V.

Correct Answer: A — 9V

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