If the potential difference between B and D is zero, the value of x is 1/n Ω. The value of n is __________. Numerical answer type. Work it out, then open the answer.

Answer: 2. Left arms: 6 ∥ 3 = 2 Ω (to B), 1 + 2 = 3 Ω (to D). Right arms: x ∥ 1 = x/x+1 (to B), x (to D). Balance: (2(x+1))/(x) = 3/x ⇒ 2x + 2 = 3 x = 1/2 Ω, so n = 2

If the potential difference between B and D is zero, the value of x… | JEE Main 2023 (30 Jan, Shift 2)

Q39JEE Main 2023 · 30 JAN · SHIFT 2Medium

Wheatstone Bridge & Metre Bridge

If the potential difference between $\mathrm{B}$ and $\mathrm{D}$ is zero, the value of $x$ is $\frac{1}{n}\ \Omega$ . The value of $n$ is __________.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 2

Left arms: $6 \parallel 3 = 2\ \Omega$ (to B), $1 + 2 = 3\ \Omega$ (to D).
Right arms: $x \parallel 1 = \dfrac{x}{x+1}$ (to B), $x$ (to D).
Balance: $\dfrac{2(x+1)}{x} = \dfrac{3}{x} \Rightarrow 2x + 2 = 3$
$x = \dfrac{1}{2}\ \Omega$ , so $n = 2$

Report a mistake

Wheatstone Bridge & Metre Bridge question from JEE Main 2023 (30 Jan, Shift 2)

More questions on Wheatstone Bridge & Metre Bridge