Network Topology and Mutual Inductance - Topicwise GATE Questions on Network Theory (from 2003)

2003
1. The current flowing through the resistance R in the circuit shown has the form Pcos4t, where p is

a) (0.18 + j0.72)
b) (0.46 + j1.90)
c) - (0.18 + j1.90)
d) - (0.192 + j0.144)

Answer: Data is insufficient as inductor values are not given in the figure.


2004
2. Consider the network graph shown in figure. Which one of the following is NOT a ‘tree’ of this group?

Answer:B

Solution : https://www.youtube.com/watch?v=xjHxZjJq8PI

3. The equivalent inductance measured between the terminals 1 and 2 for the circuit shown in figure, is

a) L₁ + L₂ + M
b) L₁ + L₂ - M
c) L₁ + L₂ + 2M
d) L₁ + L₂ - 2M

Answer:D

Solution : https://www.youtube.com/watch?v=LwuHSGj_pqI

2005
4. Impedance Z as shown in figure is

a) j29 Ω
b) j9 Ω
c) j19 Ω
d) j39 Ω

Answer:B

Solution : https://www.youtube.com/watch?v=tPOeNM7EELI

2008
5. In the following graph, the number of trees (P) and the number of cut-sets (Q) are

a) P = 2, Q = 2
b) P = 2, Q = 6
c) P = 4, Q = 6
d) P = 4, Q = 10

Answer:C

2013
6. The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac voltage V_WX1 = 100 volts is applied across WX to get an open circuit voltage V_YZ1 across YZ. Next, an ac voltage V_YZ2 = 100 volts is applied across YZ to get an open circuit voltage V_WX2 across WX. Then V_YZ1/V_WX1, V_WX2/V_YZ2 are respectively

Answer:B

Solution : https://www.youtube.com/watch?v=IJX4fwiz-Fo

2014
7. In the magnetically coupled circuit shown in the figure, 56% of the total flux emanating from one coil links the other coil.

The value of the mutual inductance (in H) is _________________

Answer:2.5

Solution : https://www.youtube.com/watch?v=y2udU1LL1As