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The pole-zero map of a rational function G(s) is shown below. When the closed counter r is mapped into the G(s)-plane, then the mapping encircles.​
  • a)
    the point -1 + j0 of the G(s)-plane once in the counter-clockwise direction.
  • b)
    the origin of the G(s)-plane once in the clockwise direction.
  • c)
    the origin of the G(s)-plane once in the counter-clockwise direction.
  • d)
    the point -1 + j0 of the G(s)-plane once in the clockwise direction.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The pole-zero map of a rational function G(s) is shown below. When the...
s-plane contour is encircling 2-poles and 3-zeros in clockwise direction hence the corresponding G(s) plane contour encircles origin 2-times in anti-clockwise direction and 3-times in clockwise direction.
∴ Effectively once in clockwise direction.
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The pole-zero map of a rational function G(s) is shown below. When the closed counter r is mapped into the G(s)-plane, then the mapping encircles.a)the point -1 + j0 of the G(s)-plane once in the counter-clockwise direction.b)the origin of the G(s)-plane once in the clockwise direction.c)the origin of the G(s)-plane once in the counter-clockwise direction.d)the point -1 + j0 of the G(s)-plane once in the clockwise direction.Correct answer is option 'B'. Can you explain this answer?
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The pole-zero map of a rational function G(s) is shown below. When the closed counter r is mapped into the G(s)-plane, then the mapping encircles.a)the point -1 + j0 of the G(s)-plane once in the counter-clockwise direction.b)the origin of the G(s)-plane once in the clockwise direction.c)the origin of the G(s)-plane once in the counter-clockwise direction.d)the point -1 + j0 of the G(s)-plane once in the clockwise direction.Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The pole-zero map of a rational function G(s) is shown below. When the closed counter r is mapped into the G(s)-plane, then the mapping encircles.a)the point -1 + j0 of the G(s)-plane once in the counter-clockwise direction.b)the origin of the G(s)-plane once in the clockwise direction.c)the origin of the G(s)-plane once in the counter-clockwise direction.d)the point -1 + j0 of the G(s)-plane once in the clockwise direction.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The pole-zero map of a rational function G(s) is shown below. When the closed counter r is mapped into the G(s)-plane, then the mapping encircles.a)the point -1 + j0 of the G(s)-plane once in the counter-clockwise direction.b)the origin of the G(s)-plane once in the clockwise direction.c)the origin of the G(s)-plane once in the counter-clockwise direction.d)the point -1 + j0 of the G(s)-plane once in the clockwise direction.Correct answer is option 'B'. Can you explain this answer?.
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