A) \[\frac{1}{2}\frac{{{\varepsilon }_{0}}{{E}^{2}}}{Ad}\]
B) \[{{\varepsilon }_{0}}{{E}^{2}}Ad\]
C) \[\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}Ad\]
D) \[\frac{1}{2}\frac{{{\varepsilon }_{0}}{{E}^{2}}}{Ad}\]
Correct Answer: C
Solution :
Energy stored\[=\frac{1}{2}C{{V}^{2}}\] \[=\frac{1}{2}\left( \frac{{{\varepsilon }_{0}}A}{d} \right)({{V}^{2}})\] \[=\frac{1}{2}{{\left( \frac{V}{d} \right)}^{2}}Ad\] \[=\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}Ad\]
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