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JEE Main 2022 (26 Jul, Shift 1) · Wheatstone Bridge & Metre Bridge

Wheatstone Bridge & Metre Bridge question from JEE Main 2022 (26 Jul, Shift 1)

Q52JEE Main 2022 · 26 JUL · SHIFT 1Medium

Wheatstone Bridge & Metre Bridge

Resistances are connected in a meter bridge circuit as shown in the figure. The balancing length $l_1$ is $40\text{ cm}$ . Now an unknown resistance $x$ is connected in series with $P$ and new balancing length is found to be $80\text{ cm}$ measured from the same end. Then the value of $x$ will be ____________ $\Omega$ .

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

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Answer: 20

$\dfrac{P}{Q} = \dfrac{40}{60}$ with $P = 4\ \Omega \Rightarrow Q = 6\ \Omega$ .
$\dfrac{4+x}{6} = \dfrac{80}{20} = 4 \Rightarrow 4 + x = 24$ .
$x = 20\ \Omega$ .

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