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?
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Answer
(1) [figure]
Solution
For n identical cells (emf E each) in series: total emf = nE, total internal resistance = nr
Terminals short-circuited ⇒ external resistance = 0
⇒ I = nEnr = Er
∴ I is independent of n ⇒ the graph is a straight line parallel to the n-axis.
Answer: (1)