A battery of internal resistance $4\,\Omega $ is connected to the network of the resistance as shown in Fig. If the maximum power can be delivered to the network, the magnitude of $R$ in $\Omega $ should be
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For maximum power delivered the interna resistance of battery would be equal to externa resistance.

$\frac{{84{\text{R}}}}{{19}} = 4\quad  \Rightarrow \quad \boxed{{\text{R}} = \frac{{19}}{{21}}\,\Omega }$

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