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Question

Physics Question on Resistance

Two cells of same emf but different internal resistances r 1 and r 2 are connected in series with a resistance R. The value of resistance R , for which the potential difference across second cell is zero, is

A

r2 – r1

B

r1 – r2

C

r1

D

r2

Answer

r2 – r1

Explanation

Solution

The correct option is(A): r 2 – r 1.

Two cells of same emf but different internal resistances

l=2εR+r1+r2l=\frac{2ε}{R+r_1+r_2}

As per the question,

2εR+r1+r2×r2ε=0\frac{2ε}{R+r_1+r_2}×r_2-ε=0

R=r2r1⇒R=r_2-r_1