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The Nyquist plot of the transfer function

does not encircle the point (1 + j0) for K = 10 but does encircle the point (-1+ j0) for K = 100. Then the closed loop system (having unity gain feedback) is 
  • a)
    stable for K = 10 and stable for K = 100
  • b)
    stable for K = 10 and unstable for K = 100
  • c)
    unstable for K = 10 and stable for K =100
  • d)
    unstable for K = 10 and unstable for K = 100
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The Nyquist plot of the transfer functiondoes not encircle the point (...




So If k = 10 touching point= 0.5
If k = 100 touching point = 5
N = P- Z, Here P = 0
N = -Z
If closed loop system to be stable, then Z = 0, ⇒ N = 0,
So, k = 10 is stable system
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The Nyquist plot of the transfer functiondoes not encircle the point (1 + j0) for K = 10 but does encircle the point (-1+ j0) for K = 100. Then the closed loop system (having unity gain feedback) isa)stable for K = 10 and stable for K = 100b)stable for K = 10 and unstable for K = 100c)unstable for K = 10 and stable for K =100d)unstable for K = 10 and unstable for K = 100Correct answer is option 'B'. Can you explain this answer?
Question Description
The Nyquist plot of the transfer functiondoes not encircle the point (1 + j0) for K = 10 but does encircle the point (-1+ j0) for K = 100. Then the closed loop system (having unity gain feedback) isa)stable for K = 10 and stable for K = 100b)stable for K = 10 and unstable for K = 100c)unstable for K = 10 and stable for K =100d)unstable for K = 10 and unstable for K = 100Correct answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about The Nyquist plot of the transfer functiondoes not encircle the point (1 + j0) for K = 10 but does encircle the point (-1+ j0) for K = 100. Then the closed loop system (having unity gain feedback) isa)stable for K = 10 and stable for K = 100b)stable for K = 10 and unstable for K = 100c)unstable for K = 10 and stable for K =100d)unstable for K = 10 and unstable for K = 100Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Nyquist plot of the transfer functiondoes not encircle the point (1 + j0) for K = 10 but does encircle the point (-1+ j0) for K = 100. Then the closed loop system (having unity gain feedback) isa)stable for K = 10 and stable for K = 100b)stable for K = 10 and unstable for K = 100c)unstable for K = 10 and stable for K =100d)unstable for K = 10 and unstable for K = 100Correct answer is option 'B'. Can you explain this answer?.
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