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2. Electric Potential and Capacitance
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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)
A
$\frac{{{q^2}}}{{2{\varepsilon _0}{A^2}}}$
B
$\frac{q}{{2{\varepsilon _0}{A^2}}}$
C
$\frac{{{q^2}}}{{2{\varepsilon _0}A}}$
D
None of the above
Solution
(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}}}$
Standard 12
Physics
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