Question

Under what condition will the current in a wire be same when connected in series and in parallel of n identical cell

Answer 1

if they both are of resistance 1 ohm.

Answer 2

The condition that needs to be satisfied is that the internal resistance should be equal to the external resistance.

When n cells are connected in series the equation is - is = nE/ R + nr

When n cells are connected in parallel the equation is - Ip = E/ R + (rin) = nE/nR + r

Since is = ip

Thus, nE/ R + nr = nE/ nR + r  

= R + nr = nR +r

= R = r

Thus, the internal resistance of each cell should be equal to the external resistance of the cell.