Steady State Analysis of AC and DC circuits - Topicwise GATE Questions on Network Theory (from 2003) | GATE 2023 - Important Concepts, Short cuts, Complete Solutions, Examples and Practice Problems

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

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

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

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 V_c(t) is

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

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

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) = V_o/R, the steady state value of the current is given by

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

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

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

8. The circuit shown below is driven by a sinusoidal input V_i = V_pcos(t/RC). The steady state output V_o is

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

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

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

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

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

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

Solution : https://www.youtube.com/watch?v=IIlI8e2TeDg

13. In the circuit shown in the figure,

the value of V_o(t) (in volts) for t → ∞ is ___________

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 V_ab (in volts) across 0.5 µF capacitor is ____________