A 3.0-µF capacitor is connected in series with a 4.0-µF capacitor and a 48-V battery. What quantity of charge is supplied by the battery to charge the capacitors? A)3.4 × 10^-⁴ C B)7.3 × 10^-⁴ C C)3.0 × 10^-⁵ C D)8.2 × 10^-⁵ C E)1.8 × 10^-⁶ C

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Quizplus · Accepted Answer

In series, the equivalent capacitance C_eq is given by 1/C_eq = 1/C1 + 1/C2. For 3.0-µF and 4.0-µF capacitors, C_eq = 1.714 µF. The charge Q is given by Q = C_eq * V = 1.714 µF * 48 V = 8.2 × 10^-5 C.

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