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)`.

Options

A. `0.5CV^(2)`
B. `CV^(2)`
C. `2CV^(2)`
D. None of these

Answer

a

Explanation

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.