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The energy required to charge a parallel...

The energy required to charge a parallel plate condenser of plate separation d and plate area of cross-section A such that the uniform electric field between the plates E, is

A

`epsilon_(0)E^(2)Ad`

B

`(1)/(2)epsilon_(0)E^(2)Ad`

C

`(1)/(2)epsilon_(0)E^(2)//Ad`

D

`epsilon_(0)E^(2)//Ad`

Text Solution

Verified by Experts

The correct Answer is:
A
Energy stored in capacitor for field
`E=(1)/(2)CV^(2)`
`=(1)/(2)((epsilon_(0)A)/(d))(E.d)^(2)`
`=(1)/(2)epsilon_(0)AE^(2)d`
Energy stored in capacitor `+` Energy loss in the process of charging = Energy given by cell.
`=(Aepsilon_(0))/(d)V^(2)`
`=2xx" Energy stored in capacitor"`
Since energy stored in capacitor = Energy loss in the process of storing the charge in capacitor.
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