The mean electric energy density between the plates of a charged capacitor is (here $q$= charge on the capacitor and $A$= area of the capacitor plate)
Medium
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(a) Energy density $ = \frac{1}{2}{\varepsilon _0}{E^2} = \frac{1}{2}{\varepsilon _0}{\left( {\frac{\sigma }{{{\varepsilon _0}}}} \right)^2} = \frac{{{\sigma ^2}}}{{2{\varepsilon _0}}} = \frac{{{q^2}}}{{2{\varepsilon _0}{A^2}}}$
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