A 24 V battery is connected to a circuit with a 12 Ω resistor and a 6.0 Ω resistor in series. What is the current flowing through the 12 Ω resistor?
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Correct answer
A. 1.3 A
Principle or equation
For resistors in series, the total resistance is the sum: R_total = R1 + R2. Ohm's law: I = V / R_total. In a series circuit, the same current flows through each resistor.
Why this answer is correct
Total resistance = 12 Ω + 6.0 Ω = 18 Ω. Current = 24 V / 18 Ω = 1.333... A ≈ 1.3 A.
Example
A 10 V battery with a 2 Ω and 3 Ω resistor in series: R_total = 5 Ω, I = 10/5 = 2 A.
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