A series $L-C-R$ circuit is connected to an AC source of voltage $150 \sin (80 \pi t)$ volt. If the resistance of the resistor in the circuit is $25 \Omega$ and the impedance in the circuit is $75 \Omega$, the average power dissipated per cycle in the circuit is

In an ideal step up transformer, if the input voltage and input power are $V_1$ and $R_1$ respectively and the output voltage and output power are $V_2$ and $P_2$ respectively, then

A generator produces a current of 100 A at 4000 V . The voltage is stepped up to $2 \times 10^5 \mathrm{~V}$ by a transformer before being sent on a high voltage transmission line of resistance $50 \Omega$. The percentage of power loss in the transmission line is