Search any question & find its solution
Question:
Answered & Verified by Expert
An alternating current generator has an internal reactance $\mathrm{R}_{\mathrm{g}}$ and an internal reactance $\mathrm{X}_{\mathrm{g}}$. It is used to supply power to a passive load consisting of a resistance $\mathrm{R}_{\mathrm{g}}$ and a reactance $X_L$. For maximum power to be delivered from the generator to the load, the value of $\mathrm{X}_{\mathrm{L}}$ is equal to
Options:
Solution:
1664 Upvotes
Verified Answer
The correct answer is:
$-\mathrm{X}_{\mathrm{g}}$
$-\mathrm{X}_{\mathrm{g}}$
Todeliver maximum power from the generator to the load, total internal reactance must be equal to conjugate of total external reactance.
So,
Hence,
$$
\begin{aligned}
X_{\text {int }} &=X_{e x t} \\
X_g &=\left(X_L\right)=-X_L \\
X_L &=-X_g
\end{aligned}
$$
(Reactance in external circuit)
So,
Hence,
$$
\begin{aligned}
X_{\text {int }} &=X_{e x t} \\
X_g &=\left(X_L\right)=-X_L \\
X_L &=-X_g
\end{aligned}
$$
(Reactance in external circuit)
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.