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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

Asked in JEE Main 25th June 2nd Shift 2022 · Combination of cells

Answer: (1) r₂-r₁

Step-by-step solution

I=(2E)/(R+r₁+r₂).

Second cell: E-Ir₂=0, so I=E/(r₂).

R+r₁+r₂=2r₂.

R=r₂-r₁.

Why the other options are wrong

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