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Q.

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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a

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b

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c

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d

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answer is B.

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Detailed Solution

Concept- In a circuit, the flow of current will always run counterclockwise to the flow of electrons. As a result, the positive electrode will migrate over to the negative electrode as the internal electric current flows.
The formula for magnitude of current is as follows:

I = n E r

Where, n = number of identical cells
E = value of EMF
r = resistance of the cell
From the above formula we see that, the magnitude of current is directly proportional to magnitude of emf and it is also inversely proportional to the resistance.
Hence, graph 2 represents the situation mentioned.
The correct graph is option 2.

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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?