A battery with an internal resistance of 4,Om | vedclass

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(C) According to the maximum power transfer theorem,the external resistance of the circuit must be equal to the internal resistance of the battery for

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(C) According to the maximum power transfer theorem,the external resistance of the circuit must be equal to the internal resistance of the battery for maximum power transfer.From the given circuit diagram,we can simplify the network. The circuit can be redrawn as a bridge circuit. By simplifying the series and parallel combinations of resistors,the equivalent resistance $R_{eq}$ of the circuit is found to be $2R$.For maximum power transfer,the external resistance $R_{eq}$ must equal the internal resistance $r = 4\,\Omega$.Therefore,$2R = 4\,\Omega$.Solving for $R$,we get $R = 2\,\Omega$.

$A$ battery with an internal resistance of $4\,\Omega$ is connected to a circuit as shown in the figure. For the circuit to receive maximum power,the value of $R$ should be ..... $\Omega$.

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