The n rows each containing m cells in series are joined in parall… - Vidyadip

MCQ

The $n$ rows each containing $m$ cells in series are joined in parallel. Maximum current is taken from this combination across an external resistance of $3 \,\Omega$ resistance. If the total number of cells used are $24$ and internal resistance of each cell is $0.5 \,\Omega$ then

A
$m = 8,n = 3$
B
$m = 6,n = 4$
✓
$m = 12,n = 2$
D
$m = 2,n = 12$

✓

Answer

Correct option: C.

$m = 12,n = 2$

c
(c) Total cells = $m × n = 24 $.... $(i)$

For maximum current in the circuit $R = \frac{{mr}}{n}$

$==>$ $3 = \frac{m}{n} \times (0.5)$

$==>$ $m = 6n$ ..... $(ii)$

On solving equation $(i)$ and $(ii)$, we get $m = 12, n =2$

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