GATE EE year:2022 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

Let

be a region in the first quadrant of the

plane enclosed by a closed curve

considered in counter-clockwise direction. Which of the following expressions does not represent the area of the region

Diagram for Electrical Engineering question 51

Your answerChoose one option.

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Let

. The value of

, where

is the volume enclosed by the unit cube defined by

, is

Your answerChoose one option.

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As shown in the figure below, two concentric conducting spherical shells, centered at

and having radii

and

are maintained at potentials such that the potential

and

. Assume that

depends only on

, where

is the radial distance. The expression for

in the region between

and

Diagram for Electrical Engineering question 53

Your answerChoose one option.

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Let the probability density function of a random variable

be given as

The value of ‘a’ is ________.

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In the circuit shown below, the magnitude of the voltage

in volts, across the 8 kΩ resistor is ____________. (round off to nearest integer)

Diagram for Electrical Engineering question 55

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Two generating units rated for 250 MW and 400 MW have governor speed regulations of 6% and 6.4%, respectively, from no load to full load. Both the generating units are operating in parallel to share a load of 500 MW. Assuming free governor action, the load shared in MW, by the 250 MW generating unit is ________. (round off to nearest integer)

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A 20 MVA, 1.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s² is __________. (round off to nearest integer)

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Consider an ideal full-bridge single-phase DC-AC inverter with a DC bus voltage magnitude of 1000 V. The inverter output voltage

shown below, is obtained when diagonal switches of the inverter are switched with 50 % duty cycle. The inverter feeds a load with a sinusoidal current given by,

A, where

. The active power, in watts, delivered to the load is ________. (round off to nearest integer)

Diagram for Electrical Engineering question 58

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For the ideal AC-DC rectifier circuit shown in the figure below, the load current magnitude is

A and is ripple free. The thyristors are fired with a delay angle of 45°. The amplitude of the fundamental component of the source current, in amperes, is __________. (round off to two decimal places)

Diagram for Electrical Engineering question 59

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A 3-phase grid-connected voltage source converter with DC link voltage of 1000 V is switched using sinusoidal Pulse Width Modulation (PWM) technique. If the grid phase current is 10 A and the 3-phase complex power supplied by the converter is given by

VA, then the modulation index used in sinusoidal PWM is __________. (round off to two decimal places)

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GATE EE year:2022 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60