JEE Mains · Physics · STD 12 - 3. current electricity
The value of unknown resistance \((x)\) for which the potential difference between \(B\) and \(D\) will be zero in the arrangement shown, is _______.
- A \(3 \Omega\)
- B \(9 \Omega\)
- C \(6 \Omega\)
- D \(42 \Omega\)
Answer & Solution
Correct Answer
(C) \(6 \Omega\)
Step-by-step Solution
Detailed explanation
In case of balanced Wheatstone Bridge \(\frac{\mathrm{V}_{\mathrm{AB}}}{\mathrm{V}_{\mathrm{AD}}}=\frac{\mathrm{V}_{\mathrm{BC}}}{\mathrm{V}_{\mathrm{CD}}} \Rightarrow \frac{12}{6+\mathrm{x}}=\frac{0.5}{0.5}\) \(\mathrm{x}=6 \Omega\)
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