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MCQ Practice Test & Solutions: Test: Assessment Of Relative Stability Using Nyquist Criterion (10 Questions)

You can prepare effectively for Electrical Engineering (EE) 3 Months Preparation for GATE Electrical with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Assessment Of Relative Stability Using Nyquist Criterion". These 10 questions have been designed by the experts with the latest curriculum of Electrical Engineering (EE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Test: Assessment Of Relative Stability Using Nyquist Criterion - Question 1

The phase margin (in degrees) of a system having the loop transfer function G(s) H(s)=2√3/s(s+1) is: 

Detailed Solution: Question 1

Answer: d
Explanation: Phase margin is calculated at gain cross over frequency where magnitude of the transfer function is 1.

Test: Assessment Of Relative Stability Using Nyquist Criterion - Question 2

The system with the open loop transfer function G(s) H(s) =1/s(s^2+s+1) has the gain margin of : 

Detailed Solution: Question 2

Answer: b
Explanation: Gain margin is calculated at phase cross over frequency where the phase is 180°.

Test: Assessment Of Relative Stability Using Nyquist Criterion - Question 3

The phase angle of the system, G(s) =s+5/s2+4s+9, varies between :  

Detailed Solution: Question 3

Answer: a
Explanation: As it is the type 0 system so the phase angle can be 0° and 90°.

Test: Assessment Of Relative Stability Using Nyquist Criterion - Question 4

The polar plot of the transfer function G(s) = 10(s+1)/s+10 will be in the :

Detailed Solution: Question 4

Answer: d
Explanation: Polar plot of the given transfer function lies in the fourth quadrant.

Test: Assessment Of Relative Stability Using Nyquist Criterion - Question 5

As the polar plot moves toward the point (-1, 0) then the system becomes :

Detailed Solution: Question 5

Answer: d
Explanation: As the polar plot moves toward the point (-1, 0) then the system becomes unstable.

Test: Assessment Of Relative Stability Using Nyquist Criterion - Question 6

Polar plots moving toward the imaginary axis makes the system:

Detailed Solution: Question 6

Answer: d
Explanation: Polar plots moving toward the imaginary axis makes the system unstable.

Test: Assessment Of Relative Stability Using Nyquist Criterion - Question 7

The concepts used to measure relative stability are:

Detailed Solution: Question 7

Answer: c
Explanation: The concepts used to measure relative stability are phase margin and gain margin.

Test: Assessment Of Relative Stability Using Nyquist Criterion - Question 8

Phase and gain margin are applicable to open and closed loop systems both.

Detailed Solution: Question 8

Answer: b
Explanation: Phase and gain margin are applicable only to open loop systems.

Test: Assessment Of Relative Stability Using Nyquist Criterion - Question 9

Gain margin is:

Detailed Solution: Question 9

Answer: d
Explanation: Gain margin is a factor by which the system gain can be increased to drive it to the verge of instability and is calculated at phase cross over frequency.

Test: Assessment Of Relative Stability Using Nyquist Criterion - Question 10

Phase margin is:

Detailed Solution: Question 10

Answer: d
Explanation: Phase margin is the measure of relative stability which is always positive for stable systems.

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