GATE IN topic:process-control PYQs & Answers — Page 31

Questions 301–310 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 31 of 65

A proportional-integral-derivative (PID) controller is employed to stably control a plant with transfer function

. Now, the proportional gain is increased by a factor of 2, the integral gain is increased by a factor of 3, and the derivative gain is left unchanged. Given that the closed-loop system continues to remain stable with the new gains, the steady-state error in tracking a ramp reference signal ________

Your answerChoose one option.

Remains unchanged

Decreases by a factor of 2

Decreases by a factor of 3

Decreases by a factor of 5

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A resistor ladder digital-to-analog converter (DAC) receives a digital input that results in the circuit having the state as shown in the figure. For this digital input, the Thevenin voltage,

, and Thevenin resistance,

, as seen at the output node are ________

Diagram for Instrumentation Engineering question 42

Your answerChoose one option.

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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

Your answerChoose one option.

PM = 39.7° and GM = 4.76

PM = 39.7° and GM = 0.07

PM = −39.7° and GM = 4.76

PM = −39.7° and GM = 0.07

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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

Your answerChoose one option.

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Consider the differential equation

, then

is ______

Your answerChoose one option.

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The digital circuit shown ______

Diagram for Instrumentation Engineering question 46

Your answerChoose one option.

is a divide-by-5 counter

is a divide-by-7 counter

is a divide-by-8 counter

does not function as a counter due to disjoint cycles of states

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In the small signal circuit shown, the enhancement mode n-channel MOSFET is biased in saturation with a transconductance

. A small signal low-frequency voltage

injected at the supply terminal results in a small signal voltage

at the output. If the channel length modulation of the MOSFET is ignored, the small signal gain

is given by ______

Diagram for Instrumentation Engineering question 47

Your answerChoose one option.

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and

are two 2-bit unsigned binary numbers. If

is a Boolean function such that

only when

, and

otherwise, then

can be minimized to the form ______

Your answerChoose one option.

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The matrix

has eigenvalues

and 7. The eigenvector(s) is/are ______

Your answerSelect all correct options. You can choose more than one.

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For the complex number

, where

and

. Which of the following statement(s) is/are true?

Your answerSelect all correct options. You can choose more than one.

The phase is

The magnitude is 1

The magnitude is

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GATE IN topic:process-control PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50