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Q#1 Frequency Domain Analysis GATE EC 2025 MCQ +1 mark -0.33 marks

The Nyquist plot of a system is given in the figure below. Let , and  be the positive frequencies at the points , and , respectively.

Which one of the following statements is TRUE?

 is the gain crossover frequency and  is the phase crossover frequency

 is the gain crossover frequency and  is the phase crossover frequency

 is the gain crossover frequency and  is the phase crossover frequency

 is the gain crossover frequency and  is the phase crossover frequency

Explanation:

Gain cross over frequency is one at which  or  

This is obtained by intersection of Polar or Nyquist Plot with the unit circle in GH Plane.

Clearly in Nyquist plot,  at  

Phase crossover frequency is one at which ,

i.e., Nyquist plot crosses (-) ve real axis

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