The value of unknown resistance (x) for which the potential...

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

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

Options

A $3 \Omega$
B $42 \Omega$
C $9 \Omega$
D $6 \Omega$

Correct answer

D. $6 \Omega$

Step-by-step solution

In case of balanced Wheatstone Bridge

\begin{aligned} & \frac{V_{A B}}{V_{A D}}=\frac{V_{B C}}{V_{C D}} \Rightarrow \frac{12}{6+x}=\frac{0.5}{0.5} \\ & x=6 \Omega \end{aligned}

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