# Advanced Problems on Network Theory – 1 MCQ’s

This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Advanced Problems on Network Theory – 1″.

1. A capacitor, used for power factor correction in a single phase circuit decreases which of the following?
a) Power factor
b) Line current
c) Both Line current and Power factor
d) Neither Line current nor Power factor

2. D is the distance between the plates of a parallel plate capacitor. The dielectric constants are ∈1 and ∈2 respectively. The total capacitance is proportional to ____________
a) ∈1∈2∈1+∈2
b) ∈1 – ∈2
c) ∈1∈2
d) ∈1 ∈2

3. Branch current and loop current relation is expressed in matrix form shown below, where Ij represents branch current and Ik represents loop current.
[I1; I2; I3; I4; I5; I6; I7; I8] = [0 0 1 0; -1 -1 -1 0; 0 1 0 0; 1 0 0 0; 0 0 -1 -1; 1 1 0 -1; 1 0 0 0; 0 0 0 1] [I1; I2; I3; I4] The rank of the incidence matrix is?
a) 4
b) 5
c) 6
d) 8

4. A two branch circuit has a coil of resistance R1, inductance L1 in one branch and capacitance C2 in the second branch. If R is increased, the dynamic resistance is going to ___________
a) Increase
b) Decrease
c) Remains constant
d) May increase or decrease

5. For the two circuits shown below, the relation between IA and IB is ________

a) IB = IA + 6
b) IB = IA + 2
c) IB = 1.5IA
d) IB = IA

6. An AC source of RMS voltage 20 V with internal impedance ZS = (1+2j) Ω feeds a load of impedance ZL = (7+4j) Ω in the circuit given below. The reactive power is _________

a) 8 VAR
b) 16 VAR
c) 28 VAR
d) 32 VAR

7. A 1 μF capacitor is connected to 12 V batteries. The energy stored in the capacitor is _____________
a) 12 x 10-6 J
b) 24 x 10-6 J
c) 60 x 10-6 J
d) 72 x 10-6 J

8. For the circuit given below, the current I in the circuit is ________

a) –j1 A
b) J1 A
c) Zero
d) 20 A

9. In the circuit given below, RI = 1 MΩ, RO = 10 Ω, A = 106 and VI = 1μV. Then the output voltage, input impedance and output impedance respectively are _________

a) 1 V, ∞ and 10 Ω
b) 1 V, 0 and 10 Ω
c) 1V, 0 and ∞
d) 10 V, ∞ and 10 Ω

10. For making a capacitor, the dielectric should have __________
a) High relative permittivity
b) Low relative permittivity
c) Relative permittivity = 1
d) Relative permittivity neither too high nor too low

11. If A = 3 + j1, then A4 is equal to __________
a) 3.16 ∠18.4°
b) 100 ∠73.72°
c) 100 ∠18.4°
d) 3.16 ∠73.22°

12. If operator ‘a’ = 1 ∠120°. Then (1 – a) is equal to ____________
a) 3–√
b) 3–√∠-30°
c) 3–√∠30°
d) 3–√∠60°

13. In the figures given below, Value of RA, RB and RC are 20 Ω, 10 Ω and 10 Ω respectively. The resistances R1, R2 and R3 in Ω are ________

a) 2.5, 5 and 5
b) 5, 2.5 and 5
c) 5, 5 and 2.5
d) 2.5, 5 and 2.5

14. In the circuit shown below, the voltage V will be __________

a) – 3V
b) Zero
c) 3 V
d) 5 V

15. The resistance of a thermistor decreases with increases in __________
a) temperature
b) circuit
c) light control
d) sensors