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

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 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 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 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

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 \(2300~\text V\) 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 \(230~\text V?\)
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 simple electric motor has an armature resistance of $1\mathrm{\Omega }$ and runs from a d.c. source of 12 V. It draws a current of 2 A when unloaded. When a certain load is connected to it, its speed reduces by 10% of its initial value. The current drawn by the loaded motor is

1. 3 A

2. 6 A

3. 2 A

4. 1 A