This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Advanced Problems on Millman’s Theorem and Maximum Power Transfer Theorem”.

1. In the circuit given below, the value of the maximum power transferred through R_{L} is ___________

a) 0.75 W

b) 1.5 W

c) 2.25 W

d) 1.125 W

2. The energy stored in the magnetic field at a solenoid 100 cm long and 10 cm diameter wound with 1000 turns of wire carrying an electric current of 10 A, is ___________

a) 1.49 J

b) 0.49 J

c) 0.1 J

d) 1 J

3. The basic elements of an electric circuit are _____________

a) R, L and C

b) Voltage

c) Current

d) Voltage as well as current

4. The resistance of a strip of copper of rectangular cross section is 2 Ω. A metal of resistivity twice that of a copper is coated on its upper surface to a thickness equal to that of copper strip. The resistance of composite strip will be _________

a) \(\frac{3}{4}\) Ω

b) \(\frac{4}{3}\) Ω

c) \(\frac{3}{2}\) Ω

d) 6 Ω

5. A 3 V DC supply with an internal resistance of 2 Ω supplies a passive non-linear resistance characterized by the relation V_{NL} = \(I_{NL}^{2}\). The power dissipated in the resistance is ___________

a) 1 W

b) 1.5 W

c) 2.5 W

d) 3 W

6. In the circuit given below, what is the amount of maximum power transfer to R?

a) 56 W

b) 76 W

c) 60 W

d) 66 W

7. In the circuit shown below what is the value of R_{L} for which maximum power is transferred to R_{L}?

a) 2.4 Ω

b) \(\frac{8}{3}\) Ω

c) 4 Ω

d) 6 Ω

8. The two windings of a transformer have an inductor of 2 H each. If mutual inductor between them is also 2 H, then which of the following is correct?

a) Turns ratio of the transformer is also 2

b) Transformer is an ideal transformer

c) It is a perfect transformer

d) It is a perfect as well as an ideal transformer

9. In the circuit given below, the value of R_{L} for which it absorbs maximum power is ___________

a) \(\frac{400}{3}\) Ω

b) \(\frac{2}{9}\) kΩ

c) 350.38 Ω

d) \(\frac{4}{9}\) kΩ

10. The average power delivered to the 6 Ω load in the circuit of figure below is ___________

a) 8 W

b) 76.68 W

c) 625 kW

d) 2.50 kW

11. Potential of earth is – 50 V. If the potential difference between anode and cathode (earthed) is measured as 150 V, actual voltage on anode is __________

a) 0 V

b) 100 V

c) 200 V

d) 250 V

12. The form factor of sinusoidal alternating electric current is ___________

a) 0

b) 1

c) 1.11

d) 1.15

13. The rms value of the sine wave is 100 A. Its peak value is ____________

a) 70.7 A

b) 141.4 A

c) 150 A

d) 282.8 A

14. An alternating voltage V = 150 sin(314)t is supplied to a device which offers a resistance of 20 Ω in forward direction of electric current while preventing the flow of electric current in reverse direction. The form factor is ___________

a) 0.57

b) 0.318

c) 1.414

d) 1.57

15. A coil of 300 turns is wound on a non-magnetic core having a mean circumference of 300 mm and a cross sectional area of 300 mm^{2}. The inductor of the coil corresponding to a magnetizing electric current of 3 A will be?

a) 37.68 μH

b) 47.68 μH

c) 113.04 μH

d) 120.58 μH