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Network Analysis
Transient Analysis

Practice questions from 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) MCQ +1 mark -0.33 marks

In the circuit shown below, the switch is closed at t=0. The value of  in degrees which will give the maximum value of DC offset of the current at the time of switching is

\\169.254.160.58\Kreatryx\DATA\Gate 2019\EE\Ques fig. EE 2019 (Subodh)\11.jpg

– 45

90

60

– 30

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Q#10 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#11 Transient Analysis GATE EE 2018 (Set 1) MCQ +2 marks -0.66 marks

A DC voltage source is connected to a series L-C circuit by taming on the switch S at time t-0 as shown in the figure. Assume. Which one of the following circular loci represents the plot of i(t) versus v(t)?

Untitled-19.png

Untitled-20.png

Untitled-21.png

Untitled-22.png

Untitled-23.png

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Q#12 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#13 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#14 Transient Analysis GATE EE 2016 (Set 1) NAT +2 marks -0 marks

In the circuit shown, switch  has been closed for a long time. At time t = 0 switch  is closed. At , the rate of change of current through the inductor, in amperes per second, is _____________.

18.jpg

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Q#15 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#16 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#17 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#18 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#19 Transient Analysis GATE EE 2014 (Set 3) MCQ +1 mark -0.33 marks

The driving point impedance Z(s) for the circuit shown below is

3.jpg

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Q#20 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#21 Transient Analysis GATE EE 2009 (Set 1) MCQ +2 marks -0.66 marks

In the figure shown, all elements used are ideal. For time t < 0, \(S_1\) remained closed and \(S_2\) open. At
t = 0, 
\(S_1\) is opened and \(S_2\) is closed.  If the voltage \(Vc_2\) across the capacitor \(C_2\) at t = 0 is zero, the voltage across the capacitor combination at  will be

Q22.jpg

1V

2V

1.5V

3V

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Q#22 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#23 Transient Analysis GATE EE 2007 (Set 1) MCQ +2 marks -0.66 marks

In the circuit shown in figure switch \(SW_1\), is initially CLOSED and \(SW_2\) is OPEN. The inductor L carries a current of 10A and the capacitor is charged to 10 V with polarities as indicated. \(SW_2\), is initially CLOSED at  and \(SW_1\), is OPENED at t=0. The current through C and the voltage across L at  is

Q61.jpg

55 A, 4.5 V

5.5 A, 4.5 V

45 A, 5.5 V

4.5 A, 55 V

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Q#24 Transient Analysis GATE EE 2006 (Set 1) MCQ +2 marks -0.66 marks

In the circuit shown in the figure, the current source I = 1A, voltage source V = 5V, , ,

In steady state, the currents (in A) through R3 and the voltage source V respectively will be

 C:\Users\Ankit\Dropbox\GATE papers\EE papers\Typed\Gate-EE-2006\Figures\Q29.jpg

1, 4

5, 1

5, 2

5, 4

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Q#25 Transient Analysis GATE EE 2006 (Set 1) MCQ +2 marks -0.66 marks

An ideal capacitor is charged to a voltage V0 and connected at t = 0 across an ideal inductor L.  (The circuit now consists of a capacitor and inductor alone).  If we let , the voltage across the capacitor at time t > 0 is given by

V0

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Q#26 Transient Analysis GATE EE 2005 (Set 1) MCQ +1 mark -0.33 marks

In Figure, the initial capacitor voltage is zero. The switch is closed at t = 0. The final steady-state voltage across the capacitor is:

Q4.jpg

20V

10V

5V

0V

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Q#27 Transient Analysis GATE EE 2005 (Set 1) MCQ +2 marks -0.66 marks

The circuit shown in Figure is in steady state, when the switch is closed at t = 0.  Assuming that the inductance is ideal, the current through the inductor at equals

Q34.jpg

0 A

0.5 A

1 A

2 A

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Q#28 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

If, at t = 0+, the voltage across the coil is 120V, the value of resistance R is:

0 Ω

20 Ω

40 Ω

60 Ω

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Q#29 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 obtained in (a), 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#30 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#31 Transient Analysis GATE EE 2004 (Set 1) MCQ +2 marks -0.66 marks

The RMS value of the resultant current in a wire which carries a dc current of 10 A and a sinusoidal alternating current of peak value 20 A is

14.1 A

17.3 A

22.4 A

30.0 A

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Q#32 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#33 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#34 Transient Analysis GATE EE 2002 (Set 1) MCQ +2 marks -0.66 marks

In the circuit shown in Figure, the switch is closed at time t = 0. The steady state value of the voltage is

Q49.jpg

0 V

10 V

5 V

2.5 V

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Q#35 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#36 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#37 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#38 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#39 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#40 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#41 Transient Analysis GATE EE 1998 (Set 1) MCQ +1 mark -0.33 marks

In the circuit shown in figure, it is desired to have a constant direct current i(t) through the ideal inductor L. the nature of the voltage source v(t) must be:

Constant voltage

Linearly increasing voltage

An ideal impulse

Exponentially increasing voltage

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Q#42 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#43 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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Q#44 Transient Analysis GATE EE 1996 (Set 1) MCQ +1 mark -0.33 marks

In the series RC circuit shown in figure the voltage across C starts increasing when the d.c. source is switched on. The rate of increase of voltage across C at the instant just after the switch is closed
(i.e., at
), will be

zero

infinity 

RC

1/RC

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Q#45 Transient Analysis GATE EE 1992 (Set 1) MCQ +1 mark -0.33 marks

The time constant of the network shown in figure, is

D:\Vol-2\Transient Analysis-03.jpg 

2RC

3RC

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Q#46 Transient Analysis GATE EE 1991 (Set 1) MCQ +1 mark -0.33 marks

Two coils having equal resistance but different inductances are connected in series.

The time-constant of the series combination is:  

Sum of the time-constants of the individual coils

Average of the time constant of the individual coils

Geometric mean of the time constants of the individual coils

Product of the time-constants of the individual coils

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Q#47 Transient Analysis GATE EE 1991 (Set 1) MCQ +2 marks -0.33 marks

The switch S in figure is closed at t=0. If  and  respectively, voltages across the capacitors in steady state will be :

D:\Vol-2\Transient Analysis-02.jpg

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