A group of N cells whose emf varies directly with the internal resistance as per

Question

A group of N cells whose emf varies directly with the internal resistance as per the equation

E_{N} = 1.5 r_{N}

are connected as shown in the following figure. The current i in the circuit is

Options:

A . 0.51 amp

B . 5.1 amp

C . 0.15 amp

D . 1.5 amp

Answer: Option D
:
D

i = \frac{E_{e q}}{r_{e q}} = \frac{1.5 r_{1} + 1.5 r_{2} + 1.5 r_{3} + . . . . . .}{r_{1} + r_{2} + r_{3} + . . . . . .} = 1.5

amp.

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