A small town with a demand of \(800\) kW of electric power at \(220\) V is situated \(15\) km away from an electric plant generating power at \(440\) V. The resistance of the two wirelines carrying power is \( 0.5 ~\Omega\) per km. The town gets power from the line through a \(4000 \text { - }220\) V step-down transformer at a sub-station in the town. The line power loss in the form of heat is:
1. \(100\) kW
2. \(500 \) kW
3. \(400\) kW
4. \(600\) kW

 A small town with a demand of 800 kW of electric power at 220 V is situated 15 km away from an electric plant generating power at 440 V. The resistance of the two wirelines carrying power is 0.5 $\Omega$ per km. The town gets power from the line through a 4000-220 V step-down transformer at a sub-station in the town. The transformer rating is:

1. 440−7000 V
2. 4000−20 V
3. 500−6500 V
4. 220−1100 V

At a hydroelectric power plant, the water pressure head is at a height of \(300\) m and the water flow available is \(100\) m³ s^-1. If the turbine generator efficiency is \(60\)%, the electric power available from the plant is:
(Take \(g=9.8\) m s^-2)
1. \(111.3\) MW
2. \(210\) MW
3. \(176.4\) MW
4. \(213.5\) MW

A power transmission line feeds input power at \(2300\) V to a step-down transformer with its primary windings having \(4000\) turns. What should be the number of turns in the secondary in order to get output power at \(230\) V?
1. \(200\)
2. \(250\)
3. \(350\)
4. \(400\)

What is the Q-factor of a series LCR circuit with L = 3.0 H, C = 27µF, and R = 7.4 Ω?

1. 45
2. 55
3. 37
4. 49

A series LCR circuit with L = 0.12 H, C = 480 nF, R = 23 $\Omega$ is connected to a 230 V variable frequency supply. What is the Q-factor of the given circuit?

1. 11.11
2. 13.31
3. 21.74
4. 22.21

A series LCR circuit with L = 0.12 H, C = 480 nF, R = 23 $\Omega$ is connected to a 230 V variable frequency supply. What is the source frequency for which current amplitude is maximum? 

1. 444.4 Hz
2. 663.48 Hz
3. 545.0 Hz
4. 343.41 Hz

A circuit containing an 80 mH inductor and a 60 µF capacitor in series is connected to a 230 V, 50 Hz supply. The resistance of the circuit is negligible. What is the average power transferred to the inductor?

1. 18 J/s
2. 0
3. 12 J/s
4. 19 J/s

A 100 µF capacitor in series with a 40 $\Omega$ resistance is connected to a 110 V, 60 Hz supply. What is the maximum current in the circuit?

1. 2.19 A
2. 2.29 A
3. 3.14 A
4. 3.24 A