Question
An alternating current generator has an internal resistance $R_g$ and an internal reactance $X_g.$ It is used to supply power to a passive load consisting of a resistance $R_g$ and a reactance $X_L.$ For maximum power to be delivered from the generator to the load, the value of $X_L$ is equal to:

Answer

For maximum power to be delivered from the generator $($or internal reactance $X_g)$ to the load $($of reactance$, X_L),$
$\Rightarrow X_L + X_g = 0\ ($the total reactance must vanish$)$
$\Rightarrow X_L= -X_g.$

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