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Q.

Two cells with same e.m.f. ‘E’ and different internal resistances r1 and r2 are connected in series to an external resistance ‘R’. The value of R so that the p.d. across the first cell be zero is

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a

r1+r2

b

r1r2

c

r1+r22

d

r1−r2

answer is C.

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Detailed Solution

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i=E1+E2R+r1+r2=2ER+r1+r2;V1=E1−ir1=0⇒i=Er1=2ER+r1+r2;R+r1+r2=2r1⇒R=r1−r2

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