Electrical Engineering Gate 2022 Questions with Answer

Ques 14 Gate 2022


There are two identical dice with a single letter on each of the faces. The following six letters: Q, R, S, T, U, and V, one on each of the faces. Any of the six outcomes are equally likely.
The two dice are thrown once independently at random. What is the probability that the outcomes on the dice were composed only of any combination of the following possible outcomes: Q, U and V?

A

1 / 4

B

3 / 4

C

1 / 6

D

5 / 36


(a) is the correct answer.

Ques 15 Gate 2022


Altruism is the human concern for the wellbeing of others. Altruism has been shown to be motivated more by social bonding, familiarity and identification of belongingness to a group. The notion that altruism may be attributed to empathy or guilt has now been rejected.
Which one of the following is the CORRECT logical inference based on the information in the above passage?

A

Humans engage in altruism due to guilt but not empathy

B

Humans engage in altruism due to empathy but not guilt

C

Humans engage in altruism due to group identification but not empathy

D

Humans engage in altruism due to empathy but not familiarity


(c) is the correct answer.

Ques 16 GATE 2022


In the circuit shown below, a three-phase star-connected unbalanced load is connected to a balanced three-phase supply of 100√3 V with phase sequence ABC. The star connected load has ZA = 10 Ω and ZB = 20∠60° Ω. The value of Zc in Ω, for which the voltage difference across the nodes n and n' is zero, is

A

20∠-30°

B

20∠30°

C

20∠-60°

D

20∠60°


(c) is the correct answer.

Ques 17 GATE 2022


An inductor having a Q-factor of 60 is connected in series with a capacitor having a Q-factor of 240. The overall Q-factor of the circuit is ________. (round off to nearest integer)


(48) is the correct answer.

Ques 18 GATE 2022


The network shown below has a resonant frequency of 150 kHz and a bandwidth of 600 Hz. The Q-factor of the network is ________. (round off to nearest integer)


(250) is the correct answer.

Ques 19 GATE 2022


In the circuit shown below, the switch S is closed at t=0. The magnitude of the steady state voltage, in volts, across the 6 Ω resistor is ________. (round off to two decimal places).


(5) is the correct answer.

Ques 20 GATE 2022


Two balanced three-phase loads, as shown in the figure, are connected to a 100√3 V, three-phase, 50 Hz main supply. Given Z1=(18+j24) Ω and Z2=(6+j8) Ω. The ammeter reading, in amperes, is ________. (round off to nearest integer)


(20) is the correct answer.

Ques 21 GATE 2022


In the circuit shown below, the magnitude of the voltage V1 in volts, across the 8 kΩ resistor is ________. (round off to nearest integer)


(100) is the correct answer.

Ques 22 GATE 2022


If only 5% of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ________. (round off to nearest integer)


(13) is the correct answer.

Ques 23 GATE 2022


The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system, is -180°. This system has

A

one LHP pole and one RHP zero at the same frequency.

B

one LHP pole and one LHP zero at the same frequency.

C

two LHP poles and one RHP zero.

D

two RHP poles and one LHP zero.


(a) is the correct answer.

Ques 24 GATE 2022


The open loop transfer function of a unity gain negative feedback system is given by G(s) = k/(s2+4s-5). The range of k for which the system is stable, is

A

k>3

B

k<3

C

k>5

D

k<5


(c) is the correct answer.

Ques 25 GATE 2022


An LTI system is shown in the figure where G(s) = 100/(s2+0.1s+100). The steady state output of the system, to the input r(t) = 1 + 0.1sin(10t), is given as y(t) = a + b sin(10t+θ). The values of 'a' and 'b' will be

A

a=1, b=10

B

a=10, b=1

C

a=1, b=100

D

a=100, b=1


(a) is the correct answer.

Ques 26 GATE 2022


The open loop transfer function of a unity gain negative feedback system is given as G(s) = 1/(s(s+1)). The Nyquist contour in the s-plane encloses the entire right half plane and a small neighbourhood around the origin in the left half plane, as shown in the figure below. The number of encirclements of the point (-1+j0) by the Nyquist plot of G(s), corresponding to the Nyquist contour, is denoted as N. Then N equals to

A

0

B

1

C

2

D

3


(b) is the correct answer.

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