The value of unknown resistance (x) for which the potential between B and D will be zero in the arrangement shown, is

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Solution

Q.
The value of unknown resistance (x) for which the potential between B and D will be zero in the arrangement shown, is [2024]

1 $6 Ω$

2 $9 Ω$

3 $42 Ω$

4 $3 Ω$

Ans.
(1)

Potential difference between B and D will be zero in a balanced

Wheatstone Bridge

In case of balanced Wheatstone Bridge,

$\frac{V_{A B}}{V_{A D}} = \frac{V_{B C}}{V_{C D}} \Rightarrow \frac{12}{6 + x} = \frac{0.5}{0.5} \Rightarrow x = 6 Ω$

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