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  4. 100 cells each of emf 5 volt and internal resistance 1 ohm are to be arranged so as to produce maximum current in a 25 ohm resistance. Each row is to contain equal numbers of cells. The number of rows should be

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Q. $100$ cells each of emf $5$ volt and internal resistance $1$ ohm are to be arranged so as to produce maximum current in a $25$ ohm resistance. Each row is to contain equal numbers of cells. The number of rows should be

Current Electricity

Solution:

Let m be the number of rows
Let n be the number of cells in a row
Then $m \times n = 100$ ...(i)
Also condition of maximum current is
$R=\frac{n r}{m}$
(ii) $25=\frac{1 \times n}{m}$
$\Rightarrow n=25 m$...(ii)
On solving (i) and (ii), we get
$m =2$