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The mean electric energy density between...

The mean electric energy density between the plates of a charged capacitor is (here `q =` charge on the capacitor and `A =` area o fthe capacitor plate)

A

`(q^(2))/(2epsilon_(0)A^(2))`

B

`(q)/(2epsilon_(0)A^(2))`

C

`(q^(2))/(2epsilon_(0)A)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
a
For a parallel plate capacitor , `C=(epsilon_(0)*(A)/(d))`
Energy of condenser = `q^(2)//(2C)`
`therefore` Energy density
`=("Energy of condenser")/("Volume of space between plates")=(q^(2))/((Axxd)xx2C)`
`rArr` Energy density `=(q^(2)xxd)/(Axxd xx2xxepsilon_(0)A)=(q^(2))/(2epsilon_(0)A^(2))`
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