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If the Nyquist plot cuts the negative real axis at a distance of 0.8, then the gain margin of the system is

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UPPSC AE Electrical 29 May 2022 Official Paper I
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  1. −0.8
  2. 2.25
  3. 0.8
  4. 1.25

Answer (Detailed Solution Below)

Option 4 : 1.25
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Detailed Solution

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Concept:

The gain margin is defined as the amount of change in open-loop gain needed to make a closed-loop system unstable.

where, |G| = Gain of the system

ωpc = Phase crossover frequency

The frequency at which the gain of the system is zero is known as the phase crossover frequency.

Calculation:

GM = 1.25

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