AP 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
- A \(10 \Omega\)
- B \(100 \Omega\)
- C \(110 \Omega\)
- D \(120 \Omega\)
Answer & Solution
Correct Answer
(C) \(110 \Omega\)
Step-by-step Solution
Detailed explanation
Balancing condition of bridge balance \(\begin{aligned} \frac{A}{B} & =\frac{100}{x} \\ \frac{B}{A} & =\frac{121}{x} \\ \therefore \quad \frac{100}{x} & =\frac{x}{121} \\ x^2 & =12100 \\ x & =110 \Omega\end{aligned}\)
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