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  • In a Wheatstone bridge, resistance P, Q and R are connected in the three arms and the fourth arm is formed by two resistance <img alt="\mathrm{S_1}" src="https://entrancecorner.oncodecogs.com/gif.l

In a Wheatstone bridge, resistance P, Q and R are connected in the three arms and the fourth arm is formed by two resistance \mathrm{S_1} and \mathrm{S_2} connected in parallel. The condition for the bridge to be balanced will be
 

Option: 1

\mathrm{\frac{P}{Q}=\frac{R\left(S_1+S_2\right)}{2 S_1 S_2}}


Option: 2

\mathrm{\frac{P}{Q}=\frac{R}{S_1+S_2}}


Option: 3

\mathrm{\frac{P}{Q}=\frac{2 R}{S_1+S_2}}


Option: 4

\mathrm{\frac{P}{Q}=\frac{R\left(S_1+S_2\right)}{S_1 S_2}}


Answers (1)

best_answer

Using the condition for Wheatstone bridge to be balanced, We get

\mathrm{\frac{P}{Q}=\frac{R}{\frac{S_1 S_2}{S_1+S_2}} \text { or } \frac{P}{Q}=\frac{R\left(S_1+S_2\right)}{S_1 S_2}}

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Riya

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