GATE EC 2015 Set 1 — Question 31
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Control Systems → Frequency-Domain Analysis → Polar Plots
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Question
The polar plot of the transfer function for will be in the
Correct answer
(A) first quadrant
Solution
The transfer function is . Substituting , we get:The phase angle is given by:For , we have , which implies . Thus, for all .
At , .
At , .
The maximum phase occurs at .
.
Since the phase angle remains between and for all , the polar plot lies entirely in the first quadrant.
At , .
At , .
The maximum phase occurs at .
.
Since the phase angle remains between and for all , the polar plot lies entirely in the first quadrant.
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