A) \[\frac{V{{r}_{1}}}{{{r}_{1}}+{{r}_{2}}}\]
B) \[\frac{V{{r}_{2}}}{{{r}_{1}}+{{r}_{2}}}\]
C) \[\frac{V({{r}_{1}}+{{r}_{2}})}{{{r}_{2}}}\]
D) \[\frac{V({{r}_{2}}+{{r}_{1}})}{{{r}_{1}}+{{r}_{2}}+{{r}_{3}}}\]
Correct Answer: B
Solution :
[B]In steady state, the capacitor arm presents an infinite resistance. |
\[\therefore \]Current through that arm = 0 |
So the potential difference across C is that across \[{{r}_{2}}\] |
Current through \[{{r}_{2}}=\frac{V}{{{r}_{1}}+{{r}_{2}}}\] |
P.D. across \[{{r}_{2}}=\frac{V{{r}_{2}}}{{{r}_{1}}+{{r}_{2}}}\] |
P.D. across \[C=\frac{V{{r}_{2}}}{{{r}_{1}}+{{r}_{2}}}\] |
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