Q 12-03-120JEE MainJEE Main 2023 (30 Jan, Shift 2)Medium
If the potential difference between $B$ and $D$ is zero, the value of $x$ is $\dfrac1n\ \Omega$. The value of $n$ is ______.
Numerical value type. Enter your answer.
Answer: 2
Arms of the balanced bridge:
- Left to $B$: $6\parallel3=2\ \Omega$
- $B$ to right: $x\parallel1=\dfrac{x}{x+1}$
- Left to $D$: $1+2=3\ \Omega$
- $D$ to right: $x$
Balance: $\dfrac{2}{x/(x+1)}=\dfrac{3}{x}\Rightarrow2(x+1)=3\Rightarrow x=\dfrac12\ \Omega$. So $n=2$.
Solution by Sreeraj P, M.Sc Physics