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. `E^(2)Ad//epsilon_(0)`
C. `1/2 epsilon_(0) E^(2)Ad`
D. `epsilon_(0)EAD`

Answer

C

Explanation

`U=1/2 CV^(2)`
`V=E.d`
`C=(Aepsilon_(0))/d`
`U=1/2 (Aepsilon_(0))/d (Ed)^(2)=1/2 (Aepsilon_(0)E^(2)d)/d`