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JEE Main 2022 (25 Jun, Shift 2) · Cells: EMF, Internal Resistance & Combinations

Cells: EMF, Internal Resistance & Combinations question from JEE Main 2022 (25 Jun, Shift 2)

Q22JEE Main 2022 · 25 JUN · SHIFT 2Medium

Cells: EMF, Internal Resistance & Combinations

Two cells of same emf but different internal resistances r1 and r2 are connected in series with a resistance R. The value of resistance R, for which the potential difference across second cell is zero, is:

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Answer: (a)

Series cells: $I = \dfrac{2E}{R + r_1 + r_2}$ .
Terminal p.d. of second cell is zero: $E - Ir_2 = 0 \Rightarrow I = \dfrac{E}{r_2}$ .
$\dfrac{2E}{R + r_1 + r_2} = \dfrac{E}{r_2} \Rightarrow 2r_2 = R + r_1 + r_2$
So the answer is (a) $R = r_2 - r_1$ .

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