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A capacitor of capacitance C is connecte...

A capacitor of capacitance `C` is connected across a battery of potential difference `V`. The energy stored in the capacitor is `(1)/(2) CV^(2)`
The energy supplied by the battery is `(1)/(2) CV^(2)`.

A

`0.5CV^(2)`

B

`CV^(2)`

C

`2CV^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
a

The battery needs to supply 2CV charge to reverse the polarity. Energy stored remains same hence work done by the battery
`(W_(b)=(2CV)V=2CV^(2))` is lost as heat in recharging.
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