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TS EAMCET · Physics · Current Electricity

Four resistors \(A, B, C\) and \(D\) form a Wheatstones bridge. The bridge is balanced, when \(C=100 \Omega\). If \(A\) and \(B\) are interchanged, the bridge balances for \(C=121 \Omega\). The value of \(D\) is

  1. A \(10 \Omega\)
  2. B \(100 \Omega\)
  3. C \(110 \Omega\)
  4. D \(120 \Omega\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(110 \Omega\)

Step-by-step Solution

Detailed explanation

Balancing condition of bridge balance \(\begin{aligned} \frac{A}{B} & =\frac{100}{x} \\ \frac{B}{A} & =\frac{121}{x} \\ \therefore \quad \frac{100}{x} & =\frac{x}{121} \\ x^2 & =12100 \\ x & =110 \Omega\end{aligned}\)