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Question

A capacitor of capacitance C0 is charged to a potential V0 and is connected with another capacitor of capacitance C as shown. After closing the switch S, the common potential across the two capacitors becomes V. The capacitance C is given by
574276_9b1221d18bc546d59f12fc8885aa0359.png

A
C0(V0V)V0
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B
C0(VV0)V0
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C
C0(V+V0)V
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D
C0(V0V)V
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Solution

The correct option is D C0(V0V)V
The initial charge stored in the capacitor C0 is C0V0.
The final charge stored in capacitor C0 when potential V lies across it is C0V.
The final charged stored in capacitor C is CV.
Since the total charge must be conserved,
C0V0=C0V+CV
C=C0(V0V)V

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