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JEE Main 2022 (24 Jun, Shift 2) · Potentiometer

Potentiometer question from JEE Main 2022 (24 Jun, Shift 2)

Q51JEE Main 2022 · 24 JUN · SHIFT 2Medium

Potentiometer

A potentiometer wire of length 10 m and resistance 20 $\Omega$ is connected in series with a 25 V battery and an external resistance 30 $\Omega$ . A cell of emf E in secondary circuit is balanced by 250 cm long potentiometer wire. The value of E (in volt) is $\frac{x}{10}$ . The value of x is __________.

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

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Answer: 25

$I = \frac{25}{20 + 30} = 0.5\ \text{A}$ , p.d. across wire $= 0.5 \times 20 = 10\ \text{V}$ .
$k = \frac{10}{10} = 1\ \text{V/m}$ .
$E = 1 \times 2.5 = 2.5\ \text{V} = \frac{25}{10}\ \text{V}$ , so $x = 25$ .

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