GATE EE year:2025 PYQs & Answers — Page 5

Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.

Let

. Then the closed-loop system shown in the figure below, is

Diagram for Electrical Engineering question 41

Your answerChoose one option.

stable for all

unstable for all

stable for all

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The continuous-time unit impulse signal is applied as an input to a continuous-time linear time-invariant system

. The output is observed to be the continuous-time unit step signal

. Which one of the following statements is true?

Your answerChoose one option.

Every bounded input signal applied to

results in a bounded output signal.

It is possible to find a bounded input signal which when applied to

results in an unbounded output signal.

On applying any input signal to

, the output signal is always bounded.

On applying any input signal to

, the output signal is always unbounded.

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The transformer connection given in the figure is part of a balanced 3-phase circuit where the phase sequence is “abc”. The primary to secondary turns ratio is 2:1. If

, then the relationship between

and

will be

Diagram for Electrical Engineering question 43

Your answerChoose one option.

and

lags

and

leads

and

lags

and

leads

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A DC series motor with negligible series resistance is running at a certain speed driving a load, where the load torque varies as cube of the speed. The motor is fed from a 400 V DC source and draws 40 A armature current. Assume linear magnetic circuit. The external resistance, in

, that must be connected in series with the armature to reduce the speed of the motor by half, is closest to

Your answerChoose one option.

23.28

4.82

46.7

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A 3-phase, 400 V, 4 pole, 50 Hz star connected induction motor has the following parameters referred to the stator:

Stator resistance, magnetizing reactance and core loss of the motor are neglected. The motor is run with constant V/f control from a drive. For maximum starting torque, the voltage and frequency output, respectively, from the drive, is closest to,

Your answerChoose one option.

400 V and 50 Hz

200 V and 25 Hz

100 V and 12.5 Hz

300 V and 37.5 Hz

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The 3-phase modulating waveforms

and

, used in sinusoidal PWM in a Voltage Source Inverter (VSI) are

where

is the fundamental frequency. The modulating waveforms are compared with a 10 kHz triangular carrier whose magnitude varies between +1 and −1. The VSI has a DC link voltage of 600 V and feeds a star connected motor. The per phase fundamental RMS motor voltage, in volts, is closest to

Your answerChoose one option.

169.71

300.00

424.26

212.13

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An ideal sinusoidal voltage source

feeds an ideal inductor

through an ideal SCR with firing angle

. If

, then the peak of the inductor current, in ampere, is closest to

Diagram for Electrical Engineering question 47

Your answerChoose one option.

20.71

10.35

7.32

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In the following circuit, the average voltage

where

is the firing angle. If the power dissipated in the resistor is 64 W, then the closest value of

in degrees is

Diagram for Electrical Engineering question 48

Your answerChoose one option.

35.9

46.4

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In the system shown below, the generator was initially supplying power to the grid. A temporary LLLG bolted fault occurs at F very close to circuit breaker 1. The circuit breakers open to isolate the line. The fault self-clears. The circuit breakers reclose and restore the line. Which one of the following diagrams best indicates the rotor accelerating and decelerating areas?

Diagram for Electrical Engineering question 49

Your answerChoose one option.

Fig. (i)

Diagram for Electrical Engineering question 49 (figure 2)

Fig. (ii)

Diagram for Electrical Engineering question 49 (figure 3)

Fig. (iii)

Diagram for Electrical Engineering question 49 (figure 4)

Fig. (iv)

Diagram for Electrical Engineering question 49 (figure 5)

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An air filled cylindrical capacitor (capacitance

) of length L, with a and b as its inner and outer radii, respectively, consists of two coaxial conducting surfaces. Its cross-section view is shown in Fig. (i). In order to increase the capacitance, a dielectric material of relative permittivity

is inserted inside 50% of the annular region as shown in Fig. (ii). The value of

for which the capacitance of the capacitor in Fig. (ii), becomes

Diagram for Electrical Engineering question 50

Your answerChoose one option.

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GATE EE year:2025 PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50