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WBJEE · Physics · Current Electricity

When the value of \(R\) in the balanced Nheatstone bridge, shown in the figure, is increased from \(5 \Omega\) to \(7 \Omega\), the value of shas to increased by \(3 \Omega\) in order to maintain the palance. What is the initial values of \(S\) ?

  1. A \(2.5 \Omega\)
  2. B \(3 \Omega\)
  3. C \(5 \Omega\)
  4. D \(7.5 \Omega\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(7.5 \Omega\)

Step-by-step Solution

Detailed explanation

According to the balanced condition of Wheatstone bridge. In the first case, \[ \begin{array}{l} \frac{P}{Q}=\frac{R}{S} \\ \frac{P}{Q}=\frac{5}{S}....(i) \end{array} \] In the second case \[ \frac{P}{Q}=\frac{7}{S+3}....(ii) \] From Eqs. (i) and (ii), we get…
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