Circuits & Kirchhoff Laws
Q. What is the total resistance in a circuit with a 10Ω resistor in series with a 5Ω resistor?
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A.
5Ω
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B.
10Ω
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C.
15Ω
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D.
50Ω
Solution
In series, total resistance (R_total) = R1 + R2 = 10Ω + 5Ω = 15Ω.
Correct Answer: C — 15Ω
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Q. What is the total resistance in a circuit with a 12Ω resistor and a 4Ω resistor connected in series?
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A.
16Ω
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B.
48Ω
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C.
3Ω
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D.
8Ω
Solution
In series, total resistance R_total = R1 + R2 = 12Ω + 4Ω = 16Ω.
Correct Answer: A — 16Ω
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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?
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A.
6V
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B.
9V
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C.
12V
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D.
15V
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
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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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