GATE EE kind:question PYQs & Answers — Page 12

Questions 111–120 of 715. Imported answers require independent review unless marked reviewed.

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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Let

be the unit radial vector in the spherical co-ordinate system. For which of the following value(s) of n, the divergence of the radial vector field

is independent of R?

Your answerSelect all correct options. You can choose more than one.

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Consider two coupled circuits, having self-inductances

and

, that carry non-zero currents

and

, respectively. The mutual inductance between the circuits is M with unity coupling coefficient. The stored magnetic energy of the coupled circuits is minimum at which of the following value(s) of

Your answerSelect all correct options. You can choose more than one.

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Let

. The rate of change of the real valued function,

at the origin in the direction of the point (1,2) is __________ (round off to the nearest integer).

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Consider ordinary differential equations given by

with initial conditions

and

, then at

__________ (round off to the nearest integer).

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Let C be a clockwise oriented closed curve in the complex plane defined by

. Further, let

be a complex function, where

. Then,

__________ (round off to the nearest integer).

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GATE EE kind:question PYQs

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55