JEE MAIN - Physics (2023 - 30th January Evening Shift - No. 21)

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 __________.

JEE Main 2023 (Online) 30th January Evening Shift Physics - Current Electricity Question 99 English

Answer
2

Explanation

The circuit is a Wheatstone bridge, so

$${{{{6 \times 3} \over {6 + 3}}} \over {{{x \times 1} \over {x + 1}}}} = {{1 + 2} \over x}$$

$$ \Rightarrow {{2(x + 1)} \over x} = {3 \over x}$$

$$ \Rightarrow x = {1 \over 2}$$

So $$n = 2$$

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