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The closed-loop transfer function of a system is
 
Which of the following statements is not true?
  • a)
    The system is non-oscillatory.
  • b)
    The closed-loop frequency response of this system exhibits a resonance peak.
  • c)
    The damping ratio of the closed-loop poles is less than unity. 
  • d)
    The unit step response exhibits overshoot due to the presence of a zero.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The closed-loop transfer function of a system isWhich of the following...

It’s characteristic equation is (s + 2) (s + 5) = 0 
or, s2 + 7s +10 = 0

Thus, damping ratio ξ > 1.
Hence, option (c) is false.
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The closed-loop transfer function of a system isWhich of the following statements is not true?a)The system is non-oscillatory.b)The closed-loop frequency response of this system exhibits a resonance peak.c)The damping ratio of the closed-loop poles is less than unity.d)The unit step response exhibits overshoot due to the presence of a zero.Correct answer is option 'C'. Can you explain this answer?
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The closed-loop transfer function of a system isWhich of the following statements is not true?a)The system is non-oscillatory.b)The closed-loop frequency response of this system exhibits a resonance peak.c)The damping ratio of the closed-loop poles is less than unity.d)The unit step response exhibits overshoot due to the presence of a zero.Correct answer is option 'C'. 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 closed-loop transfer function of a system isWhich of the following statements is not true?a)The system is non-oscillatory.b)The closed-loop frequency response of this system exhibits a resonance peak.c)The damping ratio of the closed-loop poles is less than unity.d)The unit step response exhibits overshoot due to the presence of a zero.Correct answer is option 'C'. 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 closed-loop transfer function of a system isWhich of the following statements is not true?a)The system is non-oscillatory.b)The closed-loop frequency response of this system exhibits a resonance peak.c)The damping ratio of the closed-loop poles is less than unity.d)The unit step response exhibits overshoot due to the presence of a zero.Correct answer is option 'C'. Can you explain this answer?.
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