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The polar plot of a transfer function passes through the critical point (–1.0). The gain margin is
  • a)
    Zero
  • b)
    – 1 dB
  • c)
    1 dB
  • d)
    infinity
Correct answer is option 'A'. Can you explain this answer?
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The polar plot of a transfer function passes through the critical poin...
Gain margin of a polar plot passing through the critical point is zero.
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The polar plot of a transfer function passes through the critical poin...
Given information:
- The polar plot of a transfer function passes through the critical point (1.0).

Definition:
- Gain margin: It is the amount of gain that can be added to a system before it becomes unstable.

Explanation:
- The critical point on the polar plot is where the magnitude of the transfer function is equal to 1.
- The gain margin is the amount of gain that can be added to the system such that the phase angle at the critical point is -180 degrees.
- If the polar plot passes through the critical point, it means that the phase angle at the critical point is already -180 degrees.
- Therefore, there is no additional gain that can be added to the system without making it unstable.
- Hence, the gain margin is zero.

Answer:
- The gain margin is zero. (Option A)
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The polar plot of a transfer function passes through the critical poin...
Zero

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The polar plot of a transfer function passes through the critical point (–1.0). The gain margin isa)Zerob)– 1 dBc)1 dBd)infinityCorrect answer is option 'A'. Can you explain this answer?
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