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Question

Two cells, having the same e.m.f., are connected in series through an external resistance R. Cell have internal resistances r1 and r2 (r1>r2) respectively. When the circuit is closed, the potential difference across the first cell is zero. The value of R is:-

A
r1r2
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B
r1+r22
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C
r1r22
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D
r1+r2
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Solution

The correct option is C r1r2
According to question
EIr1 =0 & I= E+Er1+r2+R
Er1 = 2Er1+r2+R

r1 + r2 +R = 2r1 R=r1 - r2

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