Sunday, May 1, 2016

Steady State Analysis of AC and DC circuits - Topicwise GATE Questions on Network Theory (from 2003)

2005
1. For the circuit in figure, the instantaneous current i1(t) is

Answer:A
Solution : https://www.youtube.com/watch?v=BcmlFVwT5C4


2007
2. In the AC network shown in the figure, the phasor voltage VAB(in volts) is:

Answer:D
Solution : https://www.youtube.com/watch?v=CNz1YebFlDw


2008
Common Data Questions: 3 & 4
The following series RLC circuit with zero initial conditions is excited by a unit impulse function δ(t).

3. For t > 0, the output voltage Vc(t) is

Answer:D
Solution : https://www.youtube.com/watch?v=DB4jmdoaFIk

4. For t > 0, the voltage across the resistor is

Answer:B
Solution (3 & 4) : https://www.youtube.com/watch?v=nn6PggFjKgA

2009
5. The time domain behaviour of an RL circuit is represented as shown below. For an initial current of i(0) = Vo/R, the steady state value of the current is given by

Answer:A
Solution : https://www.youtube.com/watch?v=VBFOXuUEuKE


2010
6. The current I in the circuit shown is

a) - j1 A
b) j1 A
c) 0 A
d) 20 A
Answer:A
Solution : https://www.youtube.com/watch?v=dKZILrD0vOM

2011
7. In the circuit shown below, the Norton equivalent current in amperes with respect to the terminals P and Q is

a) 6.4 - j 4.8
b) 6.56 - j 7.87
c) 10 + j 0
d) 16 + j 0


Answer:A
Solution : https://www.youtube.com/watch?v=HsLyDiBmxx4

8. The circuit shown below is driven by a sinusoidal input Vi = Vpcos(t/RC). The steady state output Vo is

Answer:A
Solution : https://www.youtube.com/watch?v=51KGart3zsQ

9. In the circuit shown below, the current I is equal to

Answer:B
Solution : https://www.youtube.com/watch?v=t9esPoyU5tY

2012
10. In the circuit shown below, the current through the inductor is

Answer:C
Solution : https://www.youtube.com/watch?v=bD4nQW3U4SA

2014
11. In the circuit shown in the figure, the value of node voltage V2 (in volts) is

a) 22 + j 2
b) 2 + j 22
c) 22 – j 2
d) 2 – j 22
Answer:D
Solution : https://www.youtube.com/watch?v=L9li2Lu26iU

12. The steady state output of the circuit shown in the figure is given by y(t) = A(ω) sin(ωt + φ(ω)).

If the amplitude |A(ω)| = 0.25, then the frequency ω is
Answer:B
Solution : https://www.youtube.com/watch?v=IIlI8e2TeDg


13. In the circuit shown in the figure,

the value of Vo(t) (in volts) for t → ∞ is ___________
Answer:31.25
Solution : https://www.youtube.com/watch?v=SHT_OgLFZmE

2015
14. In the circuit shown, assume that diodes D1 and D2 are ideal. In the steady state condition, the average voltage Vab (in volts) across 0.5 µF capacitor is ____________

Answer:100
Solution : https://www.youtube.com/watch?v=2ZfO7mplk4g

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