This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Problems Involving Dot Conventions”.

1. In the circuit given below, the equivalent capacitance is ____________

a) 1.625 F

b) 1.583 F

c) 0.583 F

d) 0.615 F

2. In the circuit given below, the equivalent capacitance is ______________

a) 3.5 μF

b) 1.2 μF

c) 2.4 μF

d) 4.05 μF

3. The current through an electrical conductor is 1A when the temperature of the conductor 0°C and 0.7 A when the temperature is 100°C. The current when the temperature of the conductor is 1200°C is ___________

a) 0.08 A

b) 0.16 A

c) 0.32 A

d) 0.64 A

4. In the circuit given below, the voltage across A and B is?

a) 13.04 V

b) 17.84 V

c) 12 V

d) 10.96V

5. When a DC voltage is applied to an inductor, the current through it is found to build up in accordance with I = 20(1-e^{-50t}). After the lapse of 0.02 s, the voltage is equal to 2 V. What is the value of inductance?

a) 2 mH

b) 5.43 mH

c) 1.54 mH

d) 0.74 mH

6. The resistance of copper motor winding at t=20°C is 3.42 Ω. After extended operation at full load, the motor windings measures 4.22 Ω. If the temperature coefficient is 0.0426, what is the rise in temperature?

a) 60°C

b) 45.2°C

c) 72.9°C

d) 10.16°C

7. In the figure given below, the voltage source provides the circuit with a voltage V. The number of non-planar graph of independent loop equations is ______________

a) 8

b) 12

c) 7

d) 5

8. An air capacitor of capacitance 0.005 μF is connected to a direct voltage of 500 V. It is disconnected and then immersed in oil with a relative permittivity of 2.5. The energy after immersion is?

a) 275 μJ

b) 250 μJ

c) 225 μJ

d) 625 μJ

9. A capacitor of capacitance 50 μF is connected in parallel to another capacitor of capacitance 100 μF. They are connected across a time-varying voltage source. At a particular time, the current supplied by the source is 5 A. The magnitude of instantaneous current through the capacitor of capacitance 50 μF is?

a) 1.57 A

b) 1.87 A

c) 1.67 A

d) 2.83 A

10. In the circuit given below, the resonant frequency is _______________

a) 122√π Hz

b) 12π Hz

c) 14π Hz

d) 12√2π Hz

11. For the circuit given below, what is the value of the Q factor for the inductor?

a) 4.74

b) 4.472

c) 4.358

d) 4.853

12. A capacitor of capacitance 50 μF is connected in parallel to another capacitor of capacitance 100 μF. They are connected across a time-varying voltage source. At a particular time, the current supplied by the source is 5 A. The magnitude of instantaneous current through the capacitor of capacitance 100 μF is?

a) 2.33 A

b) 3.33 A

c) 1.33 A

d) 4.33 A

13. In a series resonant circuit, V_{C} = 300 V, V_{L} = 300 V and V_{R} = 100 V. What is the value of the source voltage?

a) Zero

b) 100 V

c) 350 V

d) 200 V

14. In the circuit given below, the value of the voltage source E is _______________

a) -65 V

b) 40 V

c) -60 V

d) 65 V

15. In the circuit given below, bulb X uses 48 W when lit, bulb Y uses 22 W when lit and bulb Z uses 14.4 W when lit. The number of additional bulbs in parallel to this circuit, that would be required to below the fuse is _______________

a) 4

b) 5

c) 6

d) 7