The electric energy density between the plates of charged condenser is

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$\frac{2 q}{2 ε_{0} A}$

$\frac{q^{2}}{2 ε_{0} A^{2}}$

none of the above

$\frac{q}{2 ε_{0} A^{2}}$

answer is C.

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Detailed Solution

Energy between two plates $= \frac{q^{2}}{2 C}$
Energy density
$= \frac{\frac{q^{2}}{2 C}}{A \times d} = \frac{\frac{q^{2}}{2 ε_{0} (A / d)}}{A \times d} = \frac{q^{2}}{2 ε_{0} A^{2}}$

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