Complete GATE IN 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 15 of 22

Question 43

Open question
INMCQ2 marksNeeds review
The Nyquist plot of a stable open-loop system

is plotted in the frequency range

as shown. It is found to intersect a unit circle with center at the origin at the point

. The points

and

lie on

and assume values

and

. The phase margin (PM) and the gain margin (GM) of the system are ______
Diagram for Instrumentation Engineering question 43

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Question 44

Open question
INMCQ2 marksNeeds review
In the small signal circuit shown, the enhancement mode n-channel MOSFET is biased in saturation with transconductance

. If channel length modulation is ignored, the small signal impedance looking into the node P is given by ______
Diagram for Instrumentation Engineering question 44

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Question 45

Open question
INMCQ2 marksNeeds review
Consider the differential equation

If

, then

is ______
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