Under what conditions will the strength of current in a wire will be the same for connections in series and in parallel of n indentical cells?
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Let `epsilon`, r be the emf and internal resistance of each cell. When n cells be connected in series, then current in the circuit having external resistance R is `I_(s)= (n epsilon)/(R+nr)` When n cells are connected in parallel, the current in the circuit is `I_(p)= (epsilon)/(R+r//n) = (n epsilon)/(nR+r)` As `I_(s) = I_(p) so (n epsilon)/(R+nr)= (n epsilon)/(n R+n)` or `R +nr= n R+r` or `R (1-n)= r (1-n) or R=r`
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