A battery of internal resistance $4\, ohm$ is connected to the network of resistance as hown.  In the order that the maximum power can be delivered to the network, the value of $R$ in ohm should be :-
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Condition for maximum power is

$\mathrm{r}=\mathrm{R}$

$4=\frac{6 \mathrm{R} \times 3 \mathrm{R}}{9 \mathrm{R}}$

$\mathrm{R}=2$

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