Ncert Exercises & Solutions

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:
1. zero
2. $X_g$
3. $-X_g$
4. $R_g$

Step 1: For delivering maximum power from the generator to the load, total internal reactance must be equal to the conjugate of total external reactance.

Hence, X_{int} = X_{ext}

$Hence, X_{int} = X_{ext}$

\Rightarrow X_{g} = {(X_{L})}_{L}^{*} = - X_{L}

$\Rightarrow X_{g} = {(X_{L})}^{*} = - X_{L}$

\Rightarrow X_{L} = - X_{g}

$\Rightarrow X_{L} = - X_{g}$

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