A) \[\frac{1}{2}\,{{\varepsilon }_{0}}{{E}^{2}}Ad\]
B) \[{{\varepsilon }_{0}}{{E}^{2}}Ad\]
C) \[\frac{1}{2}\,{{\varepsilon }_{0}}{{E}^{2}}/Ad\]
D) \[{{\varepsilon }_{0}}{{E}^{2}}/Ad\]
Correct Answer: A
Solution :
In parallel plate capacitor \[C=\frac{{{\varepsilon }_{0}}A}{d}\,\,and\,\,V=E\times d\] \[\therefore \,\,\,\,\,\,\,\,\,\,\frac{1}{2}C{{V}^{2}}=\frac{1}{2}{{\varepsilon }_{0}}\frac{A}{d}\times {{E}^{2}}\cdot \,{{d}^{2}}\] \[\operatorname{Energy} = \frac{1}{2}\,{{\varepsilon }_{0}}\,\,{{E}^{2}}Ad\]
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