A) \[\frac{{{V}_{0}}}{V}-1\]
B) \[\frac{{{V}_{0}}}{V}+1\]
C) \[\frac{V}{{{V}_{0}}}-1\]
D) \[\frac{V}{{{V}_{0}}}+1\]
Correct Answer: A
Solution :
[a] \[{{C}_{1}}=C,{{V}_{1}}={{V}_{0}},{{C}_{2}}=KC,{{V}_{2}}=0\] And \[{{V}_{common}}=V\] We know that \[{{V}_{common}}=\frac{{{C}_{1}}{{V}_{1}}+{{C}_{2}}{{V}_{2}}}{{{C}_{1}}+{{C}_{2}}}\] \[\therefore \,\,\,{{V}_{common}}=\frac{C{{V}_{0}}+KC\times O}{C+KC}\] or \[K=\frac{{{V}_{0}}}{V}-1\]You need to login to perform this action.
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