In the figure shown,the power generated in y | vedclass

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(D) According to the Maximum Power Transfer Theorem,the power delivered to a variable load resistance $y$ is maximum when the load resistance equals t

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$3\,\Omega$

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(D) According to the Maximum Power Transfer Theorem,the power delivered to a variable load resistance $y$ is maximum when the load resistance equals the Thevenin equivalent resistance of the circuit as seen from the terminals of $y$.In the given circuit,the internal resistance of the battery is $r = 2\,\Omega$ and it is in series with the fixed resistor $R$. The total resistance of the circuit excluding the variable load $y$ is $R_{eq} = R + r = R + 2\,\Omega$.For maximum power in $y$,we must have $y = R_{eq}$.Given that $y = 5\,\Omega$ for maximum power,$5\,\Omega = R + 2\,\Omega$$R = 5\,\Omega - 2\,\Omega = 3\,\Omega$.

In the figure shown,the power generated in $y$ is maximum when $y = 5\,\Omega$. Then $R$ is

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