Question

# N identical cells are connected to form a battery. When the terminals of the battery are joined directly (short-circuited), current I flows in the circuit. To obtain the maximum value of I,

A
all the cells should be joined in series
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B
all the cells should be joined in parallel
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C
two rows of N/2 cells each should be joined in parallel
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D
N rows of N cells each should be joined in parallel, given that N is an integer
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Solution

## The correct option is B all the cells should be joined in parallelLet emf of each cell =ε and internal resistance =rWhen all cell is joined in series: net resistance rt=Nr and total emf εt=Nεthus,current , IS=εtrt=NεNr=εrWhen all cell is joined in parallel: net resistance rt=r/N and total emf εt=εthus,current , IP=εtrt=εr/N=NεrThus current IP is maximum.

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