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Question

Infinite number of cells having emfs and internal resistances
(E,r),(En,rn),(En2,rn2),(En3,rn3),.... ara connected in series in same manner across an external resistance of nrn−1. Current flowing through the external resistor is:

A
E2r
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B
E(n+1)r
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C
(n1)Er
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D
(n1)E2r
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Solution

The correct option is B E(n+1)r
I=E1+E2+E3+...r1+r2+r3+....+RloadE1=EE2=EnE3=En2..Em=Enm1m=1E=m=1Enm1=En1r1=rr2=rnr3=rn2..rm=rnm1m=1r=rn1
En1rn1+nrn1=En1n1(n+1)r=E(n+1)r

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