100 cells each of e.m.f. 5 V and internal re | vedclass

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(A) Let $m$ be the number of rows and $n$ be the number of cells in each row.Given total number of cells $m 	imes n = 100$ ... $(i)$For maximum curre

Vedclass · Accepted Answer

$2$

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(A) Let $m$ be the number of rows and $n$ be the number of cells in each row.Given total number of cells $m 	imes n = 100$ ... $(i)$For maximum current in an external resistance $R$,the condition is $R = \frac{nr}{m}$,where $r$ is the internal resistance of each cell.Substituting the values $R = 25 \ \Omega$ and $r = 1 \ \Omega$:$25 = \frac{n 	imes 1}{m} \implies n = 25m$ ... $(ii)$Substituting $(ii)$ into $(i)$:$m 	imes (25m) = 100$$25m^2 = 100$$m^2 = 4$$m = 2$Thus,the number of rows should be $2$.

$100$ cells each of e.m.f. $5 \ V$ and internal resistance $1 \ \Omega$ are to be arranged so as to produce maximum current in a $25 \ \Omega$ resistance. Each row is to contain an equal number of cells. The number of rows should be

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