A capacitor of capacitance $C$ is charged to a potential difference $V_0$. The charging battery is removed and the capacitor is now connected to an uncharged capacitor of unknown capacity, the potential difference across the combination becomes $V$. The unknown capacitance is
A$C\left( {\frac{{{V_0}}}{V}} \right)$
B$C\left( {\frac{{{V_0}}}{V} + 1} \right)$
C$C\left( {\frac{{{V_0}}}{V} - 1} \right)$
D$CV$
Medium
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C$C\left( {\frac{{{V_0}}}{V} - 1} \right)$
c The capacitor $\mathrm{C}$ after charging to a potential difference $\mathrm{V}_{\mathrm{0}}$ is disconnected from the battery. It is now connected with another capacitor of capacitance $\mathrm{C}^{\prime}(\text { say }) .$ The charge of first capacitor distributes over the second one such that both the capacitor acquire same potential difference $\mathrm{V}(\text{say}).$ This common potential difference $\mathrm{V}$ is given as
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