GATE IN topic:measurement PYQs & Answers — Page 57

Questions 561–570 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 57 of 65

In the figure, an RLC load is supplied by a 230 V, 50 Hz single phase source. The magnitude of the reactive power (in VAr) supplied by the source is ________.

Diagram for Instrumentation Engineering question 31

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In the given circuit, the mesh currents

and

are

Diagram for Instrumentation Engineering question 32

Your answerChoose one option.

A and

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The Fourier transform of a signal

, denoted by

, is shown in the figure.

Diagram for Instrumentation Engineering question 33

Let

. The value of Fourier transform of

evaluated at the angular frequency

rad/s is

Your answerChoose one option.

0.5

1.5

2.5

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Let

, where

denotes convolution and

and

are two discrete time sequences. Given that the z-transform of

, the z-transform of

Your answerChoose one option.

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For the sequence

, with

, the DFT is computed as

The value of

for which

is not zero is

Your answerChoose one option.

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Consider the standard negative feedback configuration with

and

. The number of clockwise encirclements of

in the Nyquist plot of the loop transfer-function

is _____.

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Consider the linear system

, with initial condition

. The solution

for this system is

Your answerChoose one option.

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Consider a standard negative feedback configuration with

and

. For the closed loop system to have poles on the imaginary axis, the value of

should be equal to (up to one decimal)_____.

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Unit step response of a linear time invariant (LTI) system is given by

. Assuming zero initial condition, the transfer function of the system is

Your answerChoose one option.

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In the given relaxation oscillator, the opamps and the zener diodes are ideal. The frequency (in kHz) of the square wave output

is _____.

Diagram for Instrumentation Engineering question 40

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GATE IN topic:measurement PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40