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

The value of unknown resistance $(x)$ for which the potential difference between $B$ and $D$ will be zero in the arrangement shown, is :
  1. $3 \Omega$
  2. $42 \Omega$
  3. $9 \Omega$
  4. $6 \Omega$

Solution


In case of balanced Wheatstone Bridge $\begin{aligned} & \frac{V_{A B}}{V_{A D}}=\frac{V_{B C}}{V_{C D}} \Rightarrow \frac{12}{6+x}=\frac{0.5}{0.5} \\ & x=6 \Omega \end{aligned}$

Asked in: JEE Main 2024 (06 Apr Shift 1)

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