Consider the two-port network shown. For maximum power transfer to the resistive load $\left(R_L\right)$, the value of $R_L$ should be $\_\_\_\_$ $\Omega$. (Round off to two decimal places)

The resistance values of the Wheatstone bridge shown are: $P=2000 \Omega, \mathrm{q}=500 \Omega, R=3000 \Omega$. The battery voltage $E=50 \mathrm{~V}$. The battery has an internal resistance of $1 \Omega$ and the Galvanometer ( $G$ ) has a resistance of $50 \Omega$.

The value of the resistance $S$ for balanced condition is $\_\_\_\_$ $\Omega$. [Answer in integer]

A $15 \mathrm{kVA}, 1100 \mathrm{~V} / 220 \mathrm{~V}$, single-phase two-winding transformer is configured as a $1.32 \mathrm{kV} / 1.1 \mathrm{kV}$ autotransformer. What will be the rating of the autotransformer?

A certain application requires power at a frequency of 16.67 Hz , while the available grid frequency is 50 Hz . A 3-phase synchronous motor connected to the $50 \mathrm{~Hz}, 3$-phase grid, driving a synchronous generator, is used for this application.

Which one of the following combinations is a suitable choice for the number of poles in the motor and generator, respectively?