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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 nrn1. 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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