# Advanced Problems on Application of Laplace Transform-2 MCQ’s

This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Advanced Problems on Application of Laplace Transform-2″.

1. Given I (t) = 10[1 + sin (- t)]. The RMS value of I(t) is ____________

a) 10

b) 5

c) \sqrt{150}

d) 105

2. A two branch parallel circuit has a 50 Ω resistance and 10 H inductance in one branch and a 1 μF capacitor in the second branch. It is fed from 220 V ac supply, at resonance, the input impedance of the circuit is _____________

a) 447.2 Ω

b) 500 Ω

c) 235.48 Ω

d) 325.64 Ω

3. A capacitor of 110 V, 50 Hz is needed for AC supply. The peak voltage of the capacitor should be ____________

a) 110 V

b) 460 V

c) 220 V

d) 230 V

4. The impedance matrices of two, two-port network are given by [3 2; 2 3] and [15 5; 5 25]. The impedance matrix of the resulting two-port network when the two networks are connected in series is ____________

a) [3 5; 2 25]b) [18 7; 7 28]c) [15 2; 5 3]d) Indeterminate

5. The current rating of a cable depends on ___________

a) Length of the cable

b) Diameter of the cable

c) Both length and diameter of the cable

d) Neither length nor diameter of the cable

6. In the circuit given below, the series circuit shown in figure, for series resonance, the value of the coupling coefficient, K will be?

a) 0.25

b) 0.5

c) 0.1

d) 1

7. The electrical energy required to heat a bucket of water to a certain temperature is 10 kWh. If heat losses, are 10%, the energy input is ____________

a) 2.67 kWh

b) 3 kWh

c) 2.5 kWh

d) 3.5 kWh

8. In an AC circuit, the maximum and minimum values of power factor can be ___________

a) 2 and 0

b) 1 and 0

c) 0 and -1

d) 1 and -1

9. In an RC series circuit R = 100 Ω and X_{C} = 10 Ω. Which of the following is possible?

a) The current and voltage are in phase

b) The current leads the voltage by about 6°

c) The current leads the voltage by about 84°

d) The current lags the voltage by about 6°

10. A 3 phase balanced supply feeds a 3-phase unbalanced load. Power supplied to the load can be measured by ___________

a) 2 Wattmeter and 1 Wattmeter

b) 2 Wattmeter and 3 Wattmeter

c) 2 Wattmeter and 2 Wattmeter

d) Only 3 Wattmeter

11. A capacitor stores 0.15C at 5 V. Its capacitance is ____________

a) 0.75 F

b) 0.75 μF

c) 0.03 F

d) 0.03 μF

12. The impedance of an RC series circuit is 12 Ω at f = 50 Hz. At f = 200 Hz, the impedance will be?

a) More than 12

b) Less than 3

c) More than 3 Ω but less than 12 Ω

d) More than 12 Ω but less than 24 Ω

13. A series RC circuit has R = 15 Ω and C = 1 μF. The current in the circuit is 5 sin 10t. The applied voltage is _____________

a) 218200 cos (10t – 89.99°)

b) 218200 sin (10t – 89.99°)

c) 218200 sin (10t)

d) 218200 cos (10t)

14. For a transmission line, open circuit and short circuit impedances are 10 Ω and 20 Ω. Then characteristic impedance is ____________

a) 100 Ω

b) 50 Ω

c) 25 Ω

d) 200 Ω

15. A circuit excited by voltage V has a resistance R which is in series with an inductor and a capacitor connected in parallel. The voltage across the resistor at the resonant frequency is ___________

a) 0

b) \frac{V}{2}

c) \frac{V}{3}

d) V