A) \[\frac{3{{\varepsilon }_{0}}AV_{0}^{2}}{d}\]
B) \[\frac{{{\varepsilon }_{0}}AV_{0}^{2}}{2d}\]
C) \[\frac{{{\varepsilon }_{0}}AV_{0}^{2}}{3d}\]
D) \[\frac{{{\varepsilon }_{0}}AV_{0}^{2}}{d}\]
Correct Answer: D
Solution :
Work done \[W={{U}_{f}}-{{U}_{i}}\] \[{{U}_{i}}=\frac{1}{2}C{{V}_{0}}^{2}\text{ and }{{\text{U}}_{\text{f}}}=\frac{1}{2}\frac{(C)}{3}.{{(3{{V}_{0}})}^{2}}\]\[=3\times \frac{1}{2}C{{V}_{0}}^{2}\] So \[W=\frac{{{\varepsilon }_{0}}A{{V}_{0}}^{2}}{d}\]
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