A) \[{{V}_{0}}/V\]
B) \[\frac{V}{{{V}_{0}}}\]
C) \[\frac{({{V}_{o}}-V)}{V}\]
D) \[\frac{({{V}_{o}}-V)}{{{V}_{0}}}\]
Correct Answer: C
Solution :
Common potential, \[\text{V = }\frac{\text{Total}\,\text{charge}}{\text{Total}\,\text{capacitance}}\] \[V=\frac{{{C}_{1}}{{V}_{1}}+{{C}_{2}}{{V}_{2}}}{{{C}_{1}}+{{C}_{2}}}\] \[=\frac{0+C{{V}_{0}}}{KC+C}\] \[=\frac{C{{V}_{0}}}{C(1+K)}\] \[V=\frac{{{V}_{0}}}{(1+K)}\] \[K=\frac{{{V}_{0}}}{V}-1\] \[K=\frac{{{V}_{0}}-V}{V}\]You need to login to perform this action.
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