First slide

Equivalent of battery

Question

A battery consists of a variable number n of identical cells (having internal resistance r each) which are connected in series. The terminals of the battery are short-circuited and the current I is measured. Which of the graphs shows the correct relationship between I and n ?

Easy

A
B
C
D

Solution

Current drawn from the cell is
$I = \frac{n ε}{n r} = \frac{ε}{r}$
So, I is independent of n and I is constant.

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