In a parallel plate capacitor, the distance between the plates is `d` and potential difference across the plate is `V`. Energy stored per unit volume between the plates of capacitor is

Options

A. `(Q^(2))/(2V^(2))`
B. `1/2 epsilon_(0)V^(2)//d^(2)`
C. `1/2 (V^(2))/(epsilon_(0)d^(2))`
D. `1/2 epsilon_(0)(V^(2))/d`

Answer

B

Explanation

Energy stored per unit volume
`U=1/2 epsilon_(0)E^(2)=1/2epsilon_(0)((V^(2))/(d^(2)))=1/2 epsilon_(0)(V^(2))/(d^(2))" "( :. E=V/d)`