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  4. To draw maximum current from a combination of cells, how should he cells be grouped?

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Q. To draw maximum current from a combination of cells, how should he cells be grouped?

AFMCAFMC 2005

Solution:

Current taken from the combination of n cells each of internal resistance r in series with external resistance $R$ is
$i=\frac{n E}{n r+ R}$
Similarly, for parallel combination
$i=\frac{n E}{r +n R}$
For mixed grouping of n such cells in m rows with external resistance $R$ is
$i=\frac{m n E}{m R +n r}$
It is obvious that maximum current obtained from each combination depends on relative values of external and internal resistance.