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The polar plot of a transfer function passes through the critical point (-1,0). Gain margin is
- a)Zero
- b)-1dB
- c)1dB
- d)Infinity
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The polar plot of a transfer function passes through the critical poin...
Answer: a
Explanation: Gain margin of a polar plot passing through the critical point is zero.
Explanation: Gain margin of a polar plot passing through the critical point is zero.
Community Answer
The polar plot of a transfer function passes through the critical poin...
Explanation:
Given Information:
The polar plot of a transfer function passes through the critical point (-1,0).
Analysis:
The critical point (-1,0) on a polar plot represents a phase margin of -180 degrees or a phase shift of 180 degrees. This means the gain margin is zero, as the phase shift at the critical point is already at the limit of stability.
Reasoning:
In a polar plot, the gain margin is the amount by which the gain of the system can be increased before the system becomes unstable. When the polar plot passes through the critical point (-1,0), it indicates that the system is on the verge of instability and any further increase in gain will push it into instability. This situation corresponds to a gain margin of zero.
Conclusion:
Therefore, the correct answer is option 'A' - Zero. This is because the polar plot passing through the critical point indicates zero gain margin, as any increase in gain will lead to instability.
Given Information:
The polar plot of a transfer function passes through the critical point (-1,0).
Analysis:
The critical point (-1,0) on a polar plot represents a phase margin of -180 degrees or a phase shift of 180 degrees. This means the gain margin is zero, as the phase shift at the critical point is already at the limit of stability.
Reasoning:
In a polar plot, the gain margin is the amount by which the gain of the system can be increased before the system becomes unstable. When the polar plot passes through the critical point (-1,0), it indicates that the system is on the verge of instability and any further increase in gain will push it into instability. This situation corresponds to a gain margin of zero.
Conclusion:
Therefore, the correct answer is option 'A' - Zero. This is because the polar plot passing through the critical point indicates zero gain margin, as any increase in gain will lead to instability.
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The polar plot of a transfer function passes through the critical point (-1,0). Gain margin isa)Zerob)-1dBc)1dBd)InfinityCorrect answer is option 'A'. Can you explain this answer?
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