GATE EC||NETWORK THEORY||TRANSIENT ANALYSIS||PYQS(2000-2025)

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Question 1

In following figure, C₁ and C₂ are ideal capacitors. C₁ had been charged to 12V before the ideal switch S is closed at t = 0. The current i(t) for all t is

(MCQ || 2012 || MCQ || 1 mark)

zero
a step function
an exponentially decaying function
an impulse function

Question 2

In the figure, the switch was closed for a long time before opening at t = 0. The voltage V_x at t = 0⁺ is

(MCQ || 2002 || MCQ || 1 mark)

25 V
50 V
–50 V
0 V

Question 3

At t = 0⁺, the current i₁ is

(MCQ || 2003 || MCQ || 2 mark)

-V/ 2R
-V/ R
-V/ 4R
zero

Question 4

I₁(s) and I₂(s) are the Laplace transforms of i₁(t) and i₂(t), respectively. The equations for the loop currents I₁(s) and I₂(s) for the circuit shown in the figure (in question 25) after the switch is brought from position 1 to position 2 at t = 0 are

(MCQ || 2003 || MCQ || 2 mark)

Question 5

(MCQ || 2004 || MCQ || 2 mark)

Question 6

At t = 2 s,

(MCQ || 2006 || MCQ || 1 mark)

0.5 A
2.0 A
1.0 A
0.0 A

Question 7

In the circuit shown, V_C is 0 volts at t = 0 sec. For t > 0, the capacitor current i_c(t), where t is in seconds, is given by

(MCQ || 2007 || MCQ || 2 mark)

0.50 exp (–25t) mA
0.25 exp (–25t) mA
0.50 exp (–12.5t) mA
0.25 exp (–6.25t) mA

Question 8

In the following circuit, the switch S is closed at t = 0. The rate of change of current is given by

(MCQ || 2008 || MCQ || 2 mark)

Question 9

In the circuit shown below, the initial charge on the capacitor is 2.5 mC, with the voltage polarity as indicated. The switch is closed at time t = 0. The current i(t) at a time t after the switch is closed is

(MCQ || 2011 || MCQ || 1 mark)

i(t) = 15 exp (–2×10³t) A
i(t) = 5 exp (–2×10³t) A
i(t) = 10 exp (–2×10³t) A
i(t) = –5 exp (–2×10³t) A

Question 10

The current in the RL-circuit shown below is i(t) = 10 cos (5t – /4)A

The value of the inductor (rounded off to two decimal places) is ……. H.

(NAT || 2020 || MCQ || 1 mark)

2.828

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