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)

Options

A. `(q^(2))/(2 epsilon_(0)A^(2))`
B. `(q)/(2epsilon_(0)A^(2))`
C. `(q^(2))/(2epsilon_(0)A)`
D. None of the above

Answer

A

Explanation

Energy density
`= (1)/(2) epsilon_(0)E^(2) = (1)/(2) epsilon_(0) ((sigma)/(epsilon_(0)))^(2) = (sigma^(2))/(2 epislon_(0)) = (q^(2))/(2 epsilon_(0)A^(2))`