A) \[\frac{P}{Q}=\frac{2R}{{{S}_{1}}+{{S}_{2}}}\]
B) \[\frac{P}{Q}=\frac{R({{S}_{1}}+{{S}_{2}})}{{{S}_{1}}{{S}_{2}}}\]
C) \[\frac{P}{Q}=\frac{R({{S}_{1}}+{{S}_{2}})}{2{{S}_{1}}{{S}_{2}}}\]
D) \[\frac{P}{Q}=\frac{R}{{{S}_{1}}+{{S}_{2}}}\]
Correct Answer: B
Solution :
[b] For balanced Wheatstone's bridge, |
\[\frac{P}{Q}=\frac{R}{S}\] |
Here\[S={{S}_{1}}||{{S}_{2}}=\frac{{{S}_{1}}{{S}_{2}}}{{{S}_{1}}+{{S}_{2}}}\] |
\[\Rightarrow \]\[\frac{P}{Q}=\frac{R({{S}_{1}}+{{S}_{2}})}{{{S}_{1}}{{S}_{2}}}\] |
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