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# 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, [Given √N is an integer]

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,
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Solution

## The correct option is B all the cells should be joined in parallelLet each cell have emf ε and internal resistance r. Assuming all cells having same polarity are in series connection, So, εeq=Nε req=Nr So, Is=NεNr=εr Assuming all cells having same polarity are in parallel connection, So, εeq=ε1r1+ε2r2+ε3r3+............+εmrn1r1+1r2+1r3+.............+1rn Since ε1=ε2=εn=ε r1=r2=rn=r εeq=ε req=r/N So, Ip=ε(r/N)=Nεr Here, we can clearly see that, Is<Ip So, parallel combination have higher value of I and rest option will have in between the Is and Ip.  Suggest Corrections  0      Similar questions  Explore more