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Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Tests  >  GATE Electrical Engineering (EE) Mock Test Series 2025  >  Test: Frequency Domain Analysis of Control Systems - 1 - Electrical Engineering (EE) MCQ

Test: Frequency Domain Analysis of Control Systems - 1 - Electrical Engineering (EE) MCQ


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10 Questions MCQ Test GATE Electrical Engineering (EE) Mock Test Series 2025 - Test: Frequency Domain Analysis of Control Systems - 1

Test: Frequency Domain Analysis of Control Systems - 1 for Electrical Engineering (EE) 2024 is part of GATE Electrical Engineering (EE) Mock Test Series 2025 preparation. The Test: Frequency Domain Analysis of Control Systems - 1 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Frequency Domain Analysis of Control Systems - 1 MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Frequency Domain Analysis of Control Systems - 1 below.
Solutions of Test: Frequency Domain Analysis of Control Systems - 1 questions in English are available as part of our GATE Electrical Engineering (EE) Mock Test Series 2025 for Electrical Engineering (EE) & Test: Frequency Domain Analysis of Control Systems - 1 solutions in Hindi for GATE Electrical Engineering (EE) Mock Test Series 2025 course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt Test: Frequency Domain Analysis of Control Systems - 1 | 10 questions in 30 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study GATE Electrical Engineering (EE) Mock Test Series 2025 for Electrical Engineering (EE) Exam | Download free PDF with solutions
Test: Frequency Domain Analysis of Control Systems - 1 - Question 1
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The Bode diagram approach is the most commonly used method for the analysis and synthesis of

Test: Frequency Domain Analysis of Control Systems - 1 - Question 2
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Nichol's chart is a plot of

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Test: Frequency Domain Analysis of Control Systems - 1 - Question 3
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The initial slope of Bode plot for a transfer function having no poles at origin is

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With no-pole at origin, initial slope will be OdB/decade.
For n-pole at origin, initial slope will be -20 ndB/decade.

Test: Frequency Domain Analysis of Control Systems - 1 - Question 4
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The gain margin of a control system having the loop transfer function G(s)H(s) = 
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Test: Frequency Domain Analysis of Control Systems - 1 - Question 5
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Gain crossover frequency is the frequency at which the gain of G(jω) is
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Test: Frequency Domain Analysis of Control Systems - 1 - Question 6
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For a control system having gain margin of -10 dB, the magnitude of GH(s) for 180° phase shift is
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Test: Frequency Domain Analysis of Control Systems - 1 - Question 7
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A system with phase margin close to zero or gain margin close to unity is 
Test: Frequency Domain Analysis of Control Systems - 1 - Question 8
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If the transfer function of a first-order system in  then the time constant of this system will be
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Hence, time constant = T= 5 seconds

Test: Frequency Domain Analysis of Control Systems - 1 - Question 9
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The polar plot of  
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Given system is of type-1 and order-2, therefore its polar plot will be as shown below.

Hence, the polar plot will neither cross the real axis nor the imaginary axis.

Test: Frequency Domain Analysis of Control Systems - 1 - Question 10
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The magnitude of frequency response of an under-sampled second order system is 5 at 0 rad/sec and peaks to 10/√3 at 5√2 rad/sec. The transfer function of the system is
Detailed Solution for Test: Frequency Domain Analysis of Control Systems - 1 - Question 10

DC gain = 5

100 [4ε2 (1 – ε2)] = 3
400 ε2 – 400 ε4 = 3
400 x2 – 400 x + 3 = 0  
x2 – x + 0.0075 = 0
ξ2 = 0.99244 , ξ2 = 0.00755
ξ = 0.99 , ξ = 0.08689
If resonant peak > 1 then

ωn = 7 rad/s

K = 49 × 5 = 245

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