A 9.5 V battery supplies a circuit with a current of 1.5 mA for 7.0 h. How much charge is transferred from negative to positive terminal?

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Study for the UCF PHY2054 General Physics Exam. Use flashcards and multiple-choice questions complete with hints and explanations. Boost your understanding and get exam-ready!

Multiple Choice

A 9.5 V battery supplies a circuit with a current of 1.5 mA for 7.0 h. How much charge is transferred from negative to positive terminal?

Explanation:
Charge moved is the current multiplied by the time the current flows. Treat current as the rate of charge flow, so the total charge transfer Q = I × t. Convert to SI units: I = 1.5 mA = 1.5 × 10^-3 A, t = 7.0 h = 7.0 × 3600 s = 25200 s. Then Q = (1.5 × 10^-3 A)(25200 s) = 37.8 C. The voltage doesn’t change this amount of charge—only the energy would be E = VQ, which would be 9.5 V × 37.8 C ≈ 360 J.

Charge moved is the current multiplied by the time the current flows. Treat current as the rate of charge flow, so the total charge transfer Q = I × t.

Convert to SI units: I = 1.5 mA = 1.5 × 10^-3 A, t = 7.0 h = 7.0 × 3600 s = 25200 s. Then Q = (1.5 × 10^-3 A)(25200 s) = 37.8 C.

The voltage doesn’t change this amount of charge—only the energy would be E = VQ, which would be 9.5 V × 37.8 C ≈ 360 J.

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