GATE EE year:2021 PYQs & Answers — Page 4

Questions 31–40 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 4 of 7

A signal generator having a source resistance of 50 Ω is set to generate a 1 kHz sinewave. Open circuit terminal voltage is 10 V peak-to-peak. Connecting a capacitor across the terminals reduces the voltage to 8 V peak-to-peak. The value of this capacitor is ______ μF. (Round off to 2 decimal places.)

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A 16-bit synchronous binary up-counter is clocked with a frequency

. The two most significant bits are OR-ed together to form an output Y. Measurements show that Y is periodic, and the duration for which Y remains high in each period is 24 ms. The clock frequency

is ____________ MHz. (Round off to 2 decimal places.)

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In the BJT circuit shown, beta of the PNP transistor is 100. Assume

V. The voltage across

will be 5 V when

is ____ kΩ. (Round off to 2 decimal places.)

Diagram for Electrical Engineering question 23

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In the circuit shown, the input

is a sinusoidal AC voltage having an RMS value of

. The worst-case peak-inverse voltage seen across any diode is _____ V. (Round off to 2 decimal places.)

Diagram for Electrical Engineering question 24

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In the circuit shown, a 5 V Zener diode is used to regulate the voltage across load

. The input is an unregulated DC voltage with a minimum value of 6 V and a maximum value of 8 V. The value of

is 6

. The Zener diode has a maximum rated power dissipation of 2.5 W. Assuming the Zener diode to be ideal, the minimum value of

is _____

Diagram for Electrical Engineering question 25

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In the open interval

, the polynomial

has

Your answerChoose one option.

two real roots

one real root

three real roots

no real roots

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Suppose the probability that a coin toss shows “head” is

, where

. The coin is tossed repeatedly until the first “head” appears. The expected number of tosses required is

Your answerChoose one option.

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Let

and

be the vertices of a rectangle

in the complex plane. Assuming that

is traversed in counter-clockwise direction, the value of the contour integral

Your answerChoose one option.

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In the circuit, switch ‘S’ is in the closed position for a very long time. If the switch is opened at time

, then

in amperes, for

Diagram for Electrical Engineering question 29

Your answerChoose one option.

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The input impedance,

, for the network shown is

Diagram for Electrical Engineering question 30

Your answerChoose one option.

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GATE EE year:2021 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30