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Assertion (A): The Nyquist criterion represents a method of determining the location of the characteristic equation roots with respect to the left half and the right half of the s-plane.​
Reason (R): The Nyquist criterion does not give the exact location of the characteristic equation roots.
  • a)
    Both A and R are true and R is a correct explanation of A.
  • b)
    Both A and R are true but R is not a correct explanation of A.
  • c)
    A is true but R is false.
  • d)
    A is false but R is true.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Assertion (A): The Nyquist criterion represents a method of determinin...
Explanation:

  • Assertion (A) is true as the Nyquist criterion is a graphical technique used to determine the stability of a closed-loop system by analyzing the location of the roots of the characteristic equation with respect to the left half and right half of the s-plane.

  • Reason (R) is also true as the Nyquist criterion does not give the exact location of the characteristic equation roots, but it gives a qualitative idea of the stability of the system based on the number of encirclements of the critical point (-1, j0) by the Nyquist plot.

  • However, Reason (R) is not a correct explanation of Assertion (A) as it does not directly address the method of determining the location of the characteristic equation roots.

  • The Nyquist criterion is based on the concept of the Nyquist plot, which is a polar plot of the complex transfer function evaluated at points on the imaginary axis from -∞ to +∞.

  • The Nyquist plot can be used to determine the stability of a closed-loop system by counting the number of clockwise encirclements of the critical point (-1, j0) by the plot.

  • If the plot encircles the point -1 + j0 in the clockwise direction, then the system is unstable. If the plot does not encircle the point, then the system is stable.

  • The Nyquist criterion can also be used to determine the relative degree of stability of a system by the number of encirclements of the critical point.


Therefore, option 'B' is the correct answer.
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Assertion (A): The Nyquist criterion represents a method of determining the location of the characteristic equation roots with respect to the left half and the right half of the s-plane.Reason (R): The Nyquist criterion does not give the exact location of the characteristic equation roots.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?
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Assertion (A): The Nyquist criterion represents a method of determining the location of the characteristic equation roots with respect to the left half and the right half of the s-plane.Reason (R): The Nyquist criterion does not give the exact location of the characteristic equation roots.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Assertion (A): The Nyquist criterion represents a method of determining the location of the characteristic equation roots with respect to the left half and the right half of the s-plane.Reason (R): The Nyquist criterion does not give the exact location of the characteristic equation roots.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): The Nyquist criterion represents a method of determining the location of the characteristic equation roots with respect to the left half and the right half of the s-plane.Reason (R): The Nyquist criterion does not give the exact location of the characteristic equation roots.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?.
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