A) \[\frac{{{v}_{0}}}{k}\]
B) \[{{v}_{0}}{{k}^{2}}\]
C) \[\frac{{{v}_{0}}}{{{k}^{2}}}\]
D) \[v_{0}^{2}\]
Correct Answer: A
Solution :
We know that, the potential energy of a charged parallel plate capacitor \[{{U}_{0}}=\frac{1}{2}CV_{0}^{2}\] ...(i) Now, \[U=\frac{1}{2}C{{V}^{2}}\] ...(ii) We know, \[V=\left( \frac{{{V}_{0}}}{K} \right)\] From Eq. (ii) \[U=\frac{1}{2}\frac{CV_{0}^{2}}{{{K}^{2}}}=\frac{{{V}_{0}}}{{{K}^{2}}}\]You need to login to perform this action.
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