A) \[\frac{{{C}_{2}}V}{{{C}_{1}}+{{C}_{2}}}\]
B) \[\frac{{{C}_{1}}V}{{{C}_{1}}+{{C}_{2}}}\]
C) \[\left( 1+\frac{{{C}_{2}}}{{{C}_{1}}} \right)V\]
D) \[\left( 1-\frac{{{C}_{2}}}{{{C}_{1}}} \right)V\]
Correct Answer: B
Solution :
The common potential difference across two capacitors connected in parallel \[V'=\frac{{{C}_{1}}{{V}_{1}}+{{C}_{2}}{{V}_{2}}}{{{C}_{1}}+{{C}_{2}}}\] \[Here,{{V}_{1}}=V,\,\,\,{{V}_{2}}=0\] \[\therefore V'=\frac{{{C}_{1}}V}{{{C}_{1}}+{{C}_{2}}}\]
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