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The Nyquist plot of a open-loop transfer function G(jω)H(jω) of a system encloses the (-1, j0) point. The gain margin of the system is
- a)less than zero
- b)greater than zero
- c)zero
- d)infinity
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The Nyquist plot of a open-loop transfer function G(jω)H(j&omega...
If Nyquist plot encloses the point (-1, j0), the system is unstable and gain margin is negative.
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The Nyquist plot of a open-loop transfer function G(jω)H(j&omega...
Ω) is a graphical representation of the complex function G(jω) in the complex plane. It is named after the Swedish-American engineer Harry Nyquist, who introduced it in the 1930s.
The Nyquist plot is a polar plot of the magnitude and phase of G(jω) over a range of frequencies. The magnitude is plotted on the radial axis, while the phase is plotted on the angular axis. The plot typically starts at the origin (0,0) and ends at infinity (∞,0).
The Nyquist plot is a useful tool for analyzing the stability of a feedback control system. The stability of the system can be determined by examining the number of encirclements of the critical point (-1,0) in the Nyquist plot. If the Nyquist plot encircles the critical point in a clockwise direction, the system is unstable. If it encircles it in a counterclockwise direction, the system is stable.
Another useful feature of the Nyquist plot is that it allows us to determine the gain and phase margins of the system. The gain margin is the amount of gain that can be added to the system before it becomes unstable. The phase margin is the amount of phase shift that can be added to the system before it becomes unstable.
In summary, the Nyquist plot is a powerful tool for analyzing the stability of a feedback control system. It provides a graphical representation of the complex transfer function and allows us to determine the gain and phase margins of the system.
The Nyquist plot is a polar plot of the magnitude and phase of G(jω) over a range of frequencies. The magnitude is plotted on the radial axis, while the phase is plotted on the angular axis. The plot typically starts at the origin (0,0) and ends at infinity (∞,0).
The Nyquist plot is a useful tool for analyzing the stability of a feedback control system. The stability of the system can be determined by examining the number of encirclements of the critical point (-1,0) in the Nyquist plot. If the Nyquist plot encircles the critical point in a clockwise direction, the system is unstable. If it encircles it in a counterclockwise direction, the system is stable.
Another useful feature of the Nyquist plot is that it allows us to determine the gain and phase margins of the system. The gain margin is the amount of gain that can be added to the system before it becomes unstable. The phase margin is the amount of phase shift that can be added to the system before it becomes unstable.
In summary, the Nyquist plot is a powerful tool for analyzing the stability of a feedback control system. It provides a graphical representation of the complex transfer function and allows us to determine the gain and phase margins of the system.
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The Nyquist plot of a open-loop transfer function G(jω)H(jω) of a system encloses the (-1, j0) point. The gain margin of the system isa)less than zerob)greater than zeroc)zerod)infinityCorrect answer is option 'A'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2026 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 a open-loop transfer function G(jω)H(jω) of a system encloses the (-1, j0) point. The gain margin of the system isa)less than zerob)greater than zeroc)zerod)infinityCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Nyquist plot of a open-loop transfer function G(jω)H(jω) of a system encloses the (-1, j0) point. The gain margin of the system isa)less than zerob)greater than zeroc)zerod)infinityCorrect answer is option 'A'. Can you explain this answer?.
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