GATE EE kind:question PYQs & Answers — Page 59

Questions 581–590 of 715. Imported answers require independent review unless marked reviewed.

A 3-phase 900 kVA,

(

/Y), 50 Hz transformer has primary (high voltage side) resistance per phase of 0.3

and secondary (low voltage side) resistance per phase of 0.02

. Iron loss of the transformer is 10 kW. The full load % efficiency of the transformer operated at unity power factor is ________ (up to 2 decimal places).

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A 200 V DC series motor, when operating from rated voltage while driving a certain load, draws 10 A current and runs at 1000 r.p.m. The total series resistance is 1

. The magnetic circuit is assumed to be linear. At the same supply voltage, the load torque is increased by 44%. The speed of the motor in r.p.m. (rounded to the nearest integer) is ______.

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A dc to dc converter shown in the figure is charge a battery bank, B2 whose voltage is constant at 150 V. B1 is another battery bank whose voltage is constant at 50 V. The value of the inductor, L is 5 mH and the ideal switch, S is operated with a switching frequency of 5 kHz with a duty ratio of 0.4. Once the circuit has attained steady state and assuming the diode D to be ideal, the power transferred from B1 to B2 (in Watt) is __________ (up to 2 decimal places).

Diagram for Electrical Engineering question 53

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The equivalent circuit of a single phase induction motor is shown in the figure, where the parameters are

and

is the slip. At no-load, the motor speed can be approximated to be the synchronous speed. The no-load lagging power factor of the motor is _________ (up to 3 decimal places).

Diagram for Electrical Engineering question 54

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The voltage

across the terminals a and b as shown in the figure, is a sinusoidal voltage having a frequency

radian/s. When the inductor current

is in phase with the voltage

, the magnitude of the impedance

(in

) seen between the terminals a and b is ________ (up to 2 decimal places).

Diagram for Electrical Engineering question 55

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The matrix

has three distinct eigenvalues and one of its eigenvectors is

. Which one of the following can be another eigenvector of

Your answerChoose one option.

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An urn contains 5 red balls and 5 black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a red ball in the second draw is

Your answerChoose one option.

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For a complex number

Your answerChoose one option.

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Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed

Your answerChoose one option.

uniformly over the entire volume of the sphere

uniformly over the outer surface of the sphere

concentrated around the centre of the sphere

along a straight line passing through the centre of the sphere

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Let

, where “

” denotes convolution. Let

be a positive real-valued constant. Choose the correct expression for

Your answerChoose one option.

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GATE EE kind:question PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 1

Question 1

Question 2

Question 2

Question 3