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Q.

A battery consists of a variable number n of identical cells having internal resistance connected in parallel. The terminals of the battery are short circuited and the current I measured. Which of the above graphs shows the relationship between total current I and n?

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a

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b

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c

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d

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answer is A.

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Detailed Solution

$E_{eq} = E and r_{eq} = \frac{r}{n}$

As per Ohm's law, $I = \frac{E}{\frac{r}{n}} = \frac{nE}{r}$

Straight line graph passing through origin.

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A battery consists of a variable number n of identical cells having internal resistance connected in parallel. The terminals of the battery are short circuited and the current I measured. Which of the above graphs shows the relationship between total current I and n?