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

Answer

A

Explanation

Mean electric energy density between plates is
`u=(1)/(2)epsilon_(0)E^(2)`
`"so, "u=(1)/(2)epsilon_(0)((sigma)/(epsilon_(0)))^(2)=(sigma^(2))/(2epsilon_(0))=(1)/(2)(q^(2))/(epsilon_(0)A^(2))`