Electrical Engineering GATE 2022 Questions with Answer

Ques 14 Aptitude

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?

Ques 15 Aptitude

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?

Ques 16 Circuit Theory

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 Z_A = 10 Ω and Z_B = 20∠60° Ω. The value of Z_c in Ω, for which the voltage difference across the nodes n and n' is zero, is

Ques 17 Circuit Theory

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)

Ques 18 Circuit Theory

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)

Ques 19 Circuit Theory

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).

Ques 20 Circuit Theory

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)

Ques 21 Circuit Theory

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

Ques 22 Communications

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)

Ques 23 Control Systems

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

Ques 24 Control Systems

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

Ques 25 Control Systems

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

Ques 26 Control Systems

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