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Network Analysis
Transient Analysis
First Order Circuits

Questions mapped to First Order Circuits under Transient Analysis.

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Q#1 Transient Analysis GATE EE 2025 (Set 1) MCQ +2 marks -0.66 marks

In the circuit, shown below, if the values of R and C are very large, the form of the

output voltage for a very high frequency square wave input, is best represented by

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Q#2 Transient Analysis GATE EE 2025 (Set 1) NAT +2 marks -0 marks

The switch (S) closes at . The time, in sec, the capacitor takes to charge to 50 V is ________ (round off to one decimal place).

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Q#3 Transient Analysis GATE EE 2024 (Set 1) MCQ +1 mark -0.33 marks

The circuit shown in the figure with the switch S open, is in steady state. After the switch S is closed, the time constant of the circuit in seconds is        

0

1.25

1

1.5

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Q#4 Transient Analysis GATE EE 2023 (Set 1) NAT +1 mark -0 marks

The value of parameters of the circuit shown in the figure are :

For time , the circuit is at steady state with the switch '  ' in closed condition. If the switch is opened at , the value of the voltage across the inductor  at in Volts is ________ (Round off to 1 decimal place).

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Q#5 Transient Analysis GATE EE 2022 (Set 1) NAT +1 mark -0 marks

In the circuit shown below, the switch Sis closed at t = 0. The magnitude of the steady state voltage, in volts, across the 6Ω resistor is_________ (round off to two decimal places).

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Q#6 Transient Analysis GATE EE 2021 (Set 1) MCQ +2 marks -0.66 marks

In the circuit, switch 'S’ is in the closed position for a very long time if the switch is opened at time t = 0, then iL(t) in amperes, for t > 0 is

Diagram, schematic

Description automatically generated

10

 

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Q#7 Transient Analysis GATE EE 2021 (Set 1) NAT +2 marks -0 marks

A 100 Hz square wave, switching between 0V and 5V, is applied to a CR high-pass filter circuit as shown, The output voltage waveform across the resistor is 6.2V peak-to-peak, If the resistance R is 820Ω. then the value C is_________ μF. (Round off to 2 decimal places.)

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Q#8 Transient Analysis GATE EE 2020 (Set 1) NAT +2 marks -0 marks

A resistor and a capacitor are connected in series to a 10 V DC supply through a switch. The switch is closed at t=0, and the capacitor voltage is found to cross 0V at t=0.4τ, where τ is the circuit time constant. The absolute value of percentage change required in the initial capacitor voltage if the zero crossing has to happen at t=0.2τ is_________ (rounded off to 2 decimal places).

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Q#9 Transient Analysis GATE EE 2019 (Set 1) NAT +2 marks -0 marks

A 0.1capacitor charged to 100 V is discharged through a resistor. The time in ms (round off to two decimal places) required for the voltage across the capacitor to drop to 1 V is ___________

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Q#10 Transient Analysis GATE EE 2017 (Set 1) MCQ +2 marks -0.66 marks

The switch in the figure below was closed for a long time. It is opened at t = 0. The current in the inductor of 2 H for, is

Z:\PY\EE\Redreaw figure\Network\updated\49-35.jpg

 

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Q#11 Transient Analysis GATE EE 2017 (Set 2) NAT +1 mark -0 marks

The initial charge in the 1 F capacitor present in the circuit shown is zero. The energy in joules transferred from the DC source until steady state condition is reached equals ________ . (Give the answer up to one decimal place).

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Q#12 Transient Analysis GATE EE 2016 (Set 2) NAT +2 marks -0 marks

In the circuit shown below, the initial capacitor voltage is 4V, Switch \(S_1\) is closed at t = 0. The charge (in ) lost by the capacitor from t = 25 micro sec.   to   is ______________.

16.jpg

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Q#13 Transient Analysis GATE EE 2015 (Set 2) MCQ +1 mark -0.33 marks

A series RL circuit is excited at t = 0 by closing a switch as shown in the figure. Assuming zero initial conditions, the value of  at t = 0 is

13.jpg

0

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Q#14 Transient Analysis GATE EE 2014 (Set 1) MCQ +1 mark -0.33 marks

A combination of  capacitor with an initial voltage  in series with a  resistor is connected to a 20mA ideal dc current source by operating both switches at t = 0 s as shown. Which of the following graphs shown in the options approximates the voltage  across the current source over the next few seconds?

2.jpg

D:\Vol-2\Transient Analysis-29(a).jpg

D:\Vol-2\Transient Analysis-29(b).jpg

D:\Vol-2\Transient Analysis-29(c).jpg

D:\Vol-2\Transient Analysis-29(d).jpg

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Q#15 Transient Analysis GATE EE 2014 (Set 2) MCQ +1 mark -0 marks

The switch SW shown in the circuit is kept at position ‘1’ for a long duration. At t = 0+, the switch is moved to position ‘2’. Assuming, the voltage  across the capacitor is

2.jpg

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Q#16 Transient Analysis GATE EE 2010 (Set 1) MCQ +1 mark -0.33 marks

The switch in the circuit has been closed for a long time. It is opened at t = 0. At , the current through the line  capacitor is

1.jpg

0A

1A

1.25A

5A

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Q#17 Transient Analysis GATE EE 2008 (Set 1) MCQ +2 marks -0.66 marks

The time constant for the given circuit will be

Q21.jpg

4s

9s

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Q#18 Transient Analysis GATE EE 2005 (Set 1) MCQ +2 marks -0.66 marks

A coil of inductance 10H resistance is connected as shown in figure. After the switch S has been in connected with point 1 for a very long time, it is moved to point 2 at t=0

Q81.jpg

For the value of R =40 ohm, the time taken for 95% of the stored energy dissipated is close to

0.10 sec

0.15 sec

0.50 sec

1.0 sec

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Q#19 Transient Analysis GATE EE 2004 (Set 1) MCQ +2 marks -0.66 marks

In figure, the capacitor initially has a charge of 10 Coulomb. The current in the circuit one second after the switch S is closed will be

Q37.jpg

14.7 A

18.5 A

40.0 A

50.0 A

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Q#20 Transient Analysis GATE EE 2003 (Set 1) MCQ +2 marks -0.66 marks

In the circuit shown in Figure, the switch S is closed at time t = 0. The voltage across the inductance at
, is

Q36.jpg

2V

4V

−6V

8V

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Q#21 Transient Analysis GATE EE 2002 (Set 1) MCQ +2 marks -0.66 marks

An 11 V pulse of 10 µs duration is applied to the circuit shown in Figure. Assuming that the capacitor is completely discharged prior to applying the pulse, the peak value of the capacitor voltage is

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Typed\Gate-EE-2002\Figures\Q33.jpg

11 V

5.5 V

6.32 V

0.96 V

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Q#22 Transient Analysis GATE EE 2002 (Set 1) MCQ +2 marks -0 marks

A constant current source is supplying 10A to a circuit shown in Figure. The switch S, which is initially closed for a sufficiently long time, is suddenly opened. Obtain obtain the complete time response of the inductor current. What is the energy stored in L, a long time after the switch is opened?

Q52.jpg


E=250J


E=250J


E=250J


E=350J

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Q#23 Transient Analysis GATE EE 2001 (Set 1) MCQ +1 mark -0.33 marks

A unit step voltage is applied at t = 0 to a series RL circuit with zero initial conditions.

It is possible for the current to be oscillatory.

The voltage across the resistor at  is zero.

The energy stored in the inductor in the steady state is zero.

The resistor current eventually falls to zero.

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Q#24 Transient Analysis GATE EE 2000 (Set 1) MCQ +1 mark -0.33 marks

A voltage waveform  is applied across a 1H inductor for , with initial current through it being zero. The current through the inductor for is given by

12t

24t

\(12t^3\)

\(4t^3\)

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Q#25 Transient Analysis GATE EE 1999 (Set 1) MCQ +2 marks -0.66 marks

A rectangular voltage pulse of magnitude V and duration T is applied to a series combination of resistance R and capacitance C. The maximum voltage developed across the capacitor is:

v

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Q#26 Transient Analysis GATE EE 1999 (Set 1) MCQ +2 marks -0.66 marks

When a periodic triangular voltage peak amplitude 1V and frequency 0.5Hz is applied to a parallel combination of 1Ω resistance and 1F capacitance, the current through the voltage source has wave-form

D:\1Mayu\Gate-9\JPG\JPG\1999\1999\Q2_2.4(A).jpg

D:\1Mayu\Gate-9\JPG\JPG\1999\1999\Q2_2.4(B).jpg

D:\1Mayu\Gate-9\JPG\JPG\1999\1999\Q2_2.4(C).jpg

D:\1Mayu\Gate-9\JPG\JPG\1999\1999\Q2_2.4(D).jpg

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Q#27 Transient Analysis GATE EE 1999 (Set 1) MCQ +2 marks -0 marks

In the circuit shown in figure, capacitor is initially charged to 12V. Find the mathematical expression for the voltage across the capacitor  after closing the switch at t=0

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Solutions\network\Network 91-01\Network Images\69.jpg

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Q#28 Transient Analysis GATE EE 1998 (Set 1) MCQ +2 marks -0 marks

The switch in the following circuit, shown in fig 3, has been connected to the 12 V source for a long time. At t=0, the switch is thrown to 24V. The value of L=2H,

(a) Determine  and  

(b) Write the differential equation governing  for t>0

(c) Compute the steady state value of  

(a) 1A, 2V
(b)

(c)
=4V

(a) 1A, 1V
(b)

(c)
=4V

(a) 1A, 2V
(b)

(c)
=4V

(a) 1A, 2V
(b)

(c)
=8V

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Q#29 Transient Analysis GATE EE 1997 (Set 1) MCQ +2 marks -0 marks

In the circuit shown in figure. eg(t)=2.5t volts. What are the values of i(t) and VL(t) at t=4 seconds?

i(t) = 1.24 A and VL(t) = 4.32 V

i(t) = 2.84 A and VL(t) = 4.32 V

i(t) = 1.84 A and VL(t) = 4.32 V

i(t) = 2.84 A and VL(t) = 3.32 V

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