A) \[\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}\]
B) \[{{E}^{2}}Ad/{{\varepsilon }_{0}}\]
C) \[\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}Ad\]
D) \[{{\varepsilon }_{0}}EAd\]
Correct Answer: C
Solution :
| [c] Energy density for a parallel plate capacitor \[=\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}\] and volume \[=Ad\] |
| Total energy = energy density \[\times \] volume |
| \[=\left( \frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}} \right)\times (Ad)\] |
| \[=\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}Ad\] |
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