A parallel plate condenser has a unifrom electric field `E (V//m)` in the space between the plates. If the distance between the plates is `d(m)` and area of each plate is `A(m^(2))` the energy (joule) stored in the condenser is

Options

A. `(1)/(2)epsilon_(0)E^(2)`
B. `epsilon_(0)EAd`
C. `(1)/(2)epsilon_(0)E^(2) Ad`
D. `E^(2)Ad|epsilon_(0)`

Answer

C

Explanation

The energy stored in the capacitor
`U = (1)/(2)CV^(2)`
`U = (1)/(2) ((A epsilon_(0))/(d)) (Ed)^(2)` ( `:' C = (A epsilon_(0))/(d)` and `V = Ed`)
`U = (1)/(2) epsilon_(0)E^(2) Ad`