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Control Systems
Frequency Domain Analysis
Bode Plot

Questions mapped to Bode Plot under Frequency Domain Analysis.

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Q#1 Frequency Domain Analysis GATE EE 2026 (Set 1) MCQ +1 mark -0.33 marks

The asymptotic Bode magnitude plot of a system is shown

Which one of the following options best represents the transfer function of the system?

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Q#2 Frequency Domain Analysis GATE EE 2024 (Set 1) NAT +2 marks -0 marks

Consider the stable closed-loop system shown in the figure. The asymptotic Bode magnitude plot of has a constant slope of  decade at least till with the gain crossover frequency being . The asymptotic Bode phase plot remains constant at  at least till . The steady-state error of the closed-loop system for a unit ramp input is ________ (rounded off to 2 decimal places).

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Q#3 Frequency Domain Analysis GATE EE 2023 (Set 1) MCQ +2 marks -0.66 marks

The magnitude and phase plots of an LTI system are shown in the figure. The transfer function of the system is

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Q#4 Frequency Domain Analysis GATE EE 2022 (Set 1) MCQ +1 mark -0.33 marks

The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system, is −180°. This system has        

one LHP pole and one RHP zero at the same frequency.

one LHP pole and one LHP zero at the same frequency.

two LHP poles and one RHP zero.

two RHP poles and one LHP zero.

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Q#5 Frequency Domain Analysis GATE EE 2021 (Set 1) NAT +1 mark -0 marks

The Bode magnitude plot for the transfer function  of the circuit is as shown. The value of R is _______ Ω. (Round off to 2 decimal places.)

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Q#6 Frequency Domain Analysis GATE EE 2019 (Set 1) MCQ +2 marks -0.66 marks

The asymptotic Bode magnitude plot of a minimum phase transfer function G(s) is shown below.

D:\Tiff\CH-6\(Q55 )EE 2019 (Naveen).png

Consider the following two statements.

Statement I: Transfer function G(s) has three poles and one zero.

Statement II: At very high frequency , the phase angle         

Which one of the following options is correct?

Statement I is true and statement II is false.

Statement I is false and statement II is true.

Both the statement are true.

Both the statement are false.

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Q#7 Frequency Domain Analysis GATE EE 2016 (Set 1) MCQ +2 marks -0.66 marks

Consider the following asymptotic Bode magnitude plot ( is in rad/s).

Which one of the following transfer functions is best represented by the above Bode magnitude plot?

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Q#8 Frequency Domain Analysis GATE EE 2015 (Set 1) MCQ +1 mark -0.33 marks

A Bode magnitude plot for the transfer function G(s) of a plant is shown in the figure. Which one of the following transfer functions best describes the plant?

17.jpg

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Q#9 Frequency Domain Analysis GATE EE 2014 (Set 1) NAT +2 marks -0 marks

The Bode magnitude plot of the transfer function  is shown below :

Note that -6dB/octave = -20dB/decade. The value of  is _______________.

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Q#10 Frequency Domain Analysis GATE EE 2014 (Set 1) MCQ +2 marks -0.66 marks

In the figure shown, assume the op – amp to be ideal. Which of the alternatives gives the correct Bode plots for the transfer function ?

28.jpg

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Q#11 Frequency Domain Analysis GATE EE 2014 (Set 2) MCQ +2 marks -0.66 marks

For the transfer function         

The values of the constant gain term and the highest corner frequency of the Bode plot respectively are

3.2, 5.0

16.0, 4.0

3.2, 4.0

16.0, 5.0

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Q#12 Frequency Domain Analysis GATE EE 2014 (Set 3) MCQ +2 marks -0.66 marks

The magnitude Bode plot of a network s shown in the figure

26.jpg

The maximum phase angle  and the corresponding gain  respectively, are

 and 1.73dB

 and 4.77dB

 and 4.77dB

 and 1.73dB

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Q#13 Frequency Domain Analysis GATE EE 2013 (Set 1) MCQ +1 mark -0.33 marks

The Bode plot of a transfer function G(s) is shown in the figure below.

D:\Vol-2\Analog\CS-5FDC.jpg

The gain (20log|G(s)|) is 32 dB and -8 dB at 1rad/s and 10rad/s respectively. The phase is negative for all ω. Then G(s) is

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Q#14 Frequency Domain Analysis GATE EE 2009 (Set 1) MCQ +1 mark -0.33 marks

The asymptotic approximation of the log-magnitude v/s frequency plot of a system containing only real poles and zeros is shown. Its transfer function is

Q19.jpg

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Q#15 Frequency Domain Analysis GATE EE 2006 (Set 1) MCQ +2 marks -0.66 marks

The Bode magnitude plot of is

Q48-2.jpg

Q48-3.jpg

Q48-4.jpg

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Q#16 Frequency Domain Analysis GATE EE 2003 (Set 1) MCQ +2 marks -0.66 marks

The asymptotic Bode plot of the transfer function is given in figure. The error in phase angle and dB gain at a frequency of ω=0.5 a are respectively.          

Q76-1.jpg

Q76-2.jpg

4.9°, 0.97 dB

5.7°, 3 dB

4.9°, 3 dB

5.7°, 0.97 dB

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Q#17 Frequency Domain Analysis GATE EE 2001 (Set 1) MCQ +2 marks -0.66 marks

The asymptotic approximation of the log-magnitude versus frequency plot of a minimum phase system with real poles and one zero is shown in figure. Its transfer function is

Q41.jpg

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Q#18 Frequency Domain Analysis GATE EE 2001 (Set 1) MSQ +2 marks -0 marks

A unit feedback system has an open-loop transfer function of                 

 

(a) Determine the magnitude of G(jω) in dB at an angular frequency of ω= 20 rad/sec.

(b) Determine the phase margin in degrees.

(c) Determine the gain margin in dB.

(d) Is the system stable or unstable?

(a)  M = 0 dB

(b) Phase margin = 216.86°

(c) Gain Margin = –13.98 dB

(d) System is unstable

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Q#19 Frequency Domain Analysis GATE EE 1999 (Set 1) MCQ +2 marks -0.66 marks

The function corresponding to the Bode plot of the figure is                 

C:\Personal\Work\Kreatryx\GATE Solutions\Control Systems\1999_2.7.jpg

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Q#20 Frequency Domain Analysis GATE EE 1998 (Set 1) MCQ +2 marks -0.66 marks

The asymptotic magnitude Body plot of a system is given fig. Find the transfer function of the system analytically. It is known that the system is minimal phase system         

D:\1Mayu\Gate-9\JPG\JPG\1998\1998\Q18.jpg

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Q#21 Frequency Domain Analysis GATE EE 1991 (Set 1) MCQ +2 marks -0.66 marks

The system having the Bode magnitude plot shown in figure has the transfer function

Untitled-3.png

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