GATE EE 2015 Set 2 — Question 35
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Control Systems → Frequency Response & Root Locus → Polar & Nyquist Plots
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Question
Nyquist plots of two functions and are shown in figure.
Nyquist plot of the product of and is
Nyquist plot of the product of and is
Correct answer
(B) [figure]
Solution
From the given Nyquist plots:
1.For , as , the magnitude and the phase . As , and . This characteristic corresponds to an integrator, .
2.For , as , and . As , and . This characteristic corresponds to a differentiator, .
The product is . The Nyquist plot of a constant is a single point at on the real axis for all frequencies. This matches the plot in option B.Continue learning with Success Tracker
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