Question:

The polar plot of a transfer function passes through the critical point (+1,0). Gain margin is

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Always analyze the polar plot at the critical point to determine the system's gain margin and potential for instability.
Updated On: May 5, 2025
  • Zero
  • \(-1dB\)
  • \( 1dB \)
  • Infinity
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The Correct Option is A

Solution and Explanation

In control theory, the gain margin is the amount by which the gain can be increased before the system becomes unstable. If the polar plot passes through the critical point (+1,0), the gain margin is considered to be zero, indicating that the system is on the verge of instability.
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