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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?
Explanation
Short-circuit current $n\varepsilon/nr = \varepsilon/r$ does not depend on n.
Detailed Solution
$I = \frac{n\varepsilon}{nr} = \frac{\varepsilon}{r}$
So, I is independent of n and I is constant.
So the correct graph is a horizontal line (I constant for all n).
So the correct graph is a horizontal line (I constant for all n).