A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance 2C is ismilarly charged to a potential difference 2V. The charging battery is now disconnected and the capacitors are connected in parallel to each other in such a way that the poistive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is

Options

A. zero
B. `3/2CV^(2)`
C. `25/6CV^(2)`
D. `9/2CV^(2)`

Answer

B

Explanation

Energy stored
`U=1/2C_(aq)V_("net")^(2)=1/2(3C)V^(2)`

`=3/2 CV^(2)`