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Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Tests  >  Test: Correlation Between Time And Frequency Response - Electrical Engineering (EE) MCQ

Test: Correlation Between Time And Frequency Response - Electrical Engineering (EE) MCQ


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10 Questions MCQ Test - Test: Correlation Between Time And Frequency Response

Test: Correlation Between Time And Frequency Response for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Test: Correlation Between Time And Frequency Response questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Correlation Between Time And Frequency Response MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Correlation Between Time And Frequency Response below.
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Test: Correlation Between Time And Frequency Response - Question 1
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The forward path transfer function of a unity feedback system is given by G(s) = 100/(s2+10s+100). The frequency response of this system will exhibit the resonance peak at: 

Detailed Solution for Test: Correlation Between Time And Frequency Response - Question 1

Answer: c
Explanation: G(s) = 100/(s2+10s+100)
wn = 10rad/sec
G = 10/2wn =0.5
wr = 0.707 rad/s.

Test: Correlation Between Time And Frequency Response - Question 2
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Assertion (A): All the systems which exhibit overshoot in transient response will also exhibit resonance peak in frequency response.
Reason (R): Large resonance peak in frequency response corresponds to a large overshoot in transient response.

Detailed Solution for Test: Correlation Between Time And Frequency Response - Question 2

Answer: a
Explanation: For G<1/√2 frequency parameters ex Mr resonant peak and time response parameters eg. Mp peak overshoot are well correlated. For G>1/√2 the resonant peak Mr does not exist and the correlation breaks down. This is not a serious problem as for this range of G, the step response oscillations are well-damped and Mp is hardly perceptible.

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Test: Correlation Between Time And Frequency Response - Question 3
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 The transfer function of a system is given by Y(s)/X(s) = e−0.1s/1+s. If x(t) is 0.5sint, then the phase angle between the output and the input will be: 

Detailed Solution for Test: Correlation Between Time And Frequency Response - Question 3

Answer: c
Explanation: Phase angle = -tan−1-0.1*180°/π
w =1 rad/sec
Phase angle =-50.73°.

Test: Correlation Between Time And Frequency Response - Question 4
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The critical value of gain for the system is 40. The system is operating at a gain of 20. The gain margin of the system is :
Detailed Solution for Test: Correlation Between Time And Frequency Response - Question 4

Answer: c
Explanation: G.M. =Kmarginal/Kdesire
Kmarginal =40
Kdesire = 20
G.M. =2
G.M. (dB) = 6dB.

Test: Correlation Between Time And Frequency Response - Question 5
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The phase angle of the system G(s) =s+5/s2+4s+9;varies between 
Detailed Solution for Test: Correlation Between Time And Frequency Response - Question 5

Answer: b
Explanation: Phase = tan−1−11w−w3/45−2.

Test: Correlation Between Time And Frequency Response - Question 6
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The open loop transfer function of a system is :G(s) H(s) =K/ (1+s) (1+2s) (1+3s)

The phase crossover frequency wpc is:
Detailed Solution for Test: Correlation Between Time And Frequency Response - Question 6

Answer: b
Explanation: angle =-180°
3wpc/1-2wpc2 =-3wpc
wpc = 1 rad/sec.

Test: Correlation Between Time And Frequency Response - Question 7
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Which one of the following statements is correct for gain margin and phase margin of two closed-loop systems having loop functions G(s) H(s) and exp(-s) G(s) H(s)?
Detailed Solution for Test: Correlation Between Time And Frequency Response - Question 7

Answer: c
Explanation: The factor exp (-st) is the cause of the term transportation lag (time delay). The effect of e-st term is simply to rotate each point of the G(s) H(s) plot by an angle wT rad in the clockwise direction. So the phase margin of the system reduces as T increases. But since |e-s| =1, therefore the gain margins of both the systems are the same.

Test: Correlation Between Time And Frequency Response - Question 8
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In a feedback control system, phase margin(PM) is
1. Directly proportional to G
2. Inversely proportional to G
3. Independent of G
4. Zero when G =0
Which of the above statements are correct?
Detailed Solution for Test: Correlation Between Time And Frequency Response - Question 8

Answer: d
Explanation: For small values of G, PM is directly proportional to G and at G =0. P.M. =0.

Test: Correlation Between Time And Frequency Response - Question 9
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The gain margin in dBs of a unity feedback control system whose open loop transfer function, G(s) H(s) =1/s(s+1) is 
Detailed Solution for Test: Correlation Between Time And Frequency Response - Question 9

Answer: d
Explanation: wpc = ∞
Magnitude of the transfer function =0
Gain Margin =∞ dB.

Test: Correlation Between Time And Frequency Response - Question 10
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The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L is
Detailed Solution for Test: Correlation Between Time And Frequency Response - Question 10

Answer: b
Explanation: – π/2-180/π*L*5 = -π
5L =π/2
L =π/10.

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