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Control Systems
Transfer Function

Practice questions from Transfer Function.

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Q#1 Transfer Function GATE EE 2024 (Set 1) MCQ +1 mark -0.33 marks

For the block-diagram shown in the figure, the transfer function  is        

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Q#2 Transfer Function GATE EE 2023 (Set 1) MCQ +1 mark -0.33 marks

For the block diagram shown in the figure, the transfer function  is

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Q#3 Transfer Function GATE EE 2023 (Set 1) MCQ +1 mark -0.33 marks

A continuous-time system that is initially at rest is described by

where  is the input voltage and  is the output voltage. The impulse response of the system is

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Q#4 Transfer Function GATE EE 2021 (Set 1) MCQ +1 mark -0.33 marks

For the closed-loop system shown, the transfer function  is

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Q#5 Transfer Function GATE EE 2020 (Set 1) MCQ +1 mark -0.33 marks

Which of the options is an equivalent representation of the signal flow graph shown here?

A picture containing clock Description automatically generated

A picture containing clock Description automatically generated

A picture containing text, clock Description automatically generated

A picture containing text, clock Description automatically generated

A picture containing text, clock Description automatically generated

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Q#6 Transfer Function GATE EE 2017 (Set 1) MCQ +2 marks -0.66 marks

In the system whose signal flow graph is shown in the figure, are inputs. The transfer function  v        

Z:\PY\EE\Redreaw figure\control system\update\255-23.jpg

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Q#7 Transfer Function GATE EE 2015 (Set 1) MCQ +1 mark -0.33 marks

For the signal – flow graph shown in the figure, which one of the following expressions is equal to the transfer function        

18.jpg

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Q#8 Transfer Function GATE EE 2015 (Set 1) MCQ +2 marks -0.66 marks

Find the transfer function  of the system given below.

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Q#9 Transfer Function GATE EE 2014 (Set 3) MCQ +1 mark -0.33 marks

The signal flow graph of a system is shown below. U(s) is the input and C(s) is the output.

Assuming, , the input-output transfer function,  of the system is given by

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Q#10 Transfer Function GATE EE 2014 (Set 3) MCQ +2 marks -0.66 marks

The block diagram of a system is shown in the figure        

If the desired transfer function of the system is

Then G(s) is

s

1/s

This cannot be expressed in the required form for any value of G(s)

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Q#11 Transfer Function GATE EE 2013 (Set 1) MCQ +1 mark -0.33 marks

The transfer function of the circuit shown below is

2.jpg

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Q#12 Transfer Function GATE EE 2013 (Set 1) MCQ +2 marks -0.66 marks

The signal flow graph for a system is given below. The transfer function  for this system is

18.jpg

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Q#13 Transfer Function GATE EE 2011 (Set 1) MCQ +2 marks -0.66 marks

A two-loop position control system is shown below.

The gain k of the Tacho-generator influences mainly the

Peak overshoot

Natural frequency of oscillations

Phase shift of the closed loop transfer function at very low frequencies

Phase shift of the closed loop transfer function at very high frequencies

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Q#14 Transfer Function GATE EE 2010 (Set 1) MCQ +1 mark -0.33 marks

As shown in the figure, a negative feedback system has an amplifier of gain 100 with ±10% tolerance in the forward path, and an attenuator of value 9/100 in the feedback path. The overall system gain is approximately:

5.jpg

10±1%

10±2%

10±5%

10±10%

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Q#15 Transfer Function GATE EE 2010 (Set 1) MCQ +1 mark -0.33 marks

If the electrical circuit of figure (b) is an equivalent of the coupled tank system of figure (a). then

A, B are resistance and C, D capacitances

A, C are resistance and B, D capacitances

A, B are capacitances and C, D resistance

A, C are capacitances and B, D resistance

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Q#16 Transfer Function GATE EE 2007 (Set 1) MCQ +2 marks -0.66 marks

The system shown in figure below,

Can be reduced to the form

Q39-2.jpg

With        

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Q#17 Transfer Function GATE EE 2004 (Set 1) MCQ +1 mark -0.33 marks

For a tachometer if θ(t) is the rotor displacement is radians, e(t) is the output voltage and Kt is the tachometer constant in V/rad/sec, then the transfer function, will be

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Q#18 Transfer Function GATE EE 2004 (Set 1) MCQ +2 marks -0.66 marks

For the block diagram shown in figure, the transfer function  is equal to

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Q#19 Transfer Function GATE EE 2003 (Set 1) MCQ +2 marks -0.66 marks

The block diagram of a control system is shown in Figure. The transfer function  of the system is

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Q#20 Transfer Function GATE EE 2002 (Set 1) MCQ +2 marks -0.66 marks

The transfer function of the system described by with u as input and y as output is

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Q#21 Transfer Function GATE EE 2000 (Set 1) MCQ +1 mark -0.33 marks

Ratio of the rotor reactance X to the rotor resistance R for a two-phase servomotor

Is equal to that of a normal induction motor

Is less than that of a normal induction motor

Is greater than that of a normal induction motor

May be less or greater than that of a normal induction motor

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Q#22 Transfer Function GATE EE 2000 (Set 1) MCQ +1 mark -0.33 marks

Feedback control systems are

Insensitive to both forward and feedback path parameter changes

Less sensitive to feedback path parameter changes than to forward path parameter changes

Less sensitive to forward-path parameter changes than to feedback path parameter changes

Equally sensitive to forward and feedback path parameter changes

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Q#23 Transfer Function GATE EE 1998 (Set 1) MCQ +2 marks -0.66 marks

For block diagram shown in fig.   is given by

Z:\PY\EE\Redreaw figure\control system\update\252-06.jpg

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Q#24 Transfer Function GATE EE 1995 (Set 1) MCQ +1 mark -0.33 marks

For the circuit shown in figure, the transfer function is equal to ?

D:\1Mayu\Gate-9\JPG\JPG\1995\1995\Q2_2.5.jpg

None of these

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Q#25 Transfer Function GATE EE 1993 (Set 1) MCQ +1 mark -0.33 marks

Signal flow graph is used to obtain the

Stability of a system

Transfer function of a system

Controllability of a system

Observability of a system

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Q#26 Transfer Function GATE EE 1992 (Set 1) MCQ +1 mark -0.33 marks

The overall transfer function of the system in figure, is

Z:\PY\EE\Redreaw figure\control system\update\252-03.jpg

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Q#27 Transfer Function GATE EE 1991 (Set 1) MSQ +1 mark -0 marks

The signal flow graph of figure has ____________ forward paths/and ____________ feedback loops.

forward paths = 4

feedback loops = 5

forward paths = 5

feedback loops = 4

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Q#28 Transfer Function GATE EE 1991 (Set 1) MSQ +2 marks -0 marks

(a) Find the transfer function

 for the network shown in figure.

Z:\PY\EE\Redreaw figure\control system\update\252-02.jpg

(b) What is the order of the system?

(c) Now if the inductance value is changed to 2H, what will be the order of the modified network?

order of the system = 1

order of the system = 2

order of the modified network = 3

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