Question:medium
The value of unknown resistance (x) for which the potential difference between B and D will be zero in the arrangement shown, is : 
The value of unknown resistance (x) for which the potential difference between B and D will be zero in the arrangement shown, is :
Updated On: Jan 13, 2026
- \( 3 \, \Omega \)
- \( 9 \, \Omega \)
- \( 6 \, \Omega \)
- \( 42 \, \Omega \)
Show Solution
The Correct Option is C
Solution and Explanation
The provided diagram illustrates a Wheatstone Bridge.
The condition for balancing the bridge is:
\[ \frac{V_{AB}}{V_{AD}} = \frac{V_{BC}}{V_{CD}}. \]
Inserting circuit values:
\[ \frac{12}{6 + x} = \frac{0.5}{0.5}. \]
Simplification yields:
\[ 12(0.5) = (6 + x)(0.5). \]
\[ 6 = 3 + 0.5x \implies x = 6 \, \Omega. \]
The resultant value is: \( x = 6 \, \Omega \).
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