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Electricity and Magnetism

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Expression for Total Capacitance $-$ Two Capacitors in Series

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Consider the following circuit consisting of two capacitors of capacitance $C_1$ and $C_2$, and a battery with voltage $V$.

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Which of the following is the correct expression for the equivalent (total) capacitance of the circuit?

A

$$C_{eq} = C_1+C_2$$

B

$$C_{eq}= \frac{1}{C_1}+\frac{1}{C_2}$$

C

$$C_{eq} = \frac{C_1C_2}{C_1+C_2}$$

D

$$C{eq}=\frac{C_1+C_2}{C_1C_2}$$