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)=(1)/(2)((Aepsilon_(0))/(d))(Ed)^(2)" "(becauseC=(Aepsilon_(0))/(d)and V=Ed)`
`U=(1)/(2)epsilon_(2)E^(@)AD`