GATE EE year:2023 PYQs & Answers — Page 5

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

The three-bus power system shown in the figure has one alternator connected to bus 2 which supplies 200 MW and 40 MVAr power. Bus 3 is infinite bus having a voltage of magnitude

p.u. and angle of

. A variable current source,

is connected at bus 1 and controlled such that the magnitude of the bus 1 voltage is maintained at 1.05 p.u. and the phase angle of the source current,

, where

is the phase angle of the bus 1 voltage. The three buses can be categorized for load flow analysis as

Diagram for Electrical Engineering question 41

Your answerChoose one option.

Bus 1 Slack bus Bus 2 P − |V| bus Bus 3 P − Q bus

Bus 1 P − |V| bus Bus 2 P − |V| bus Bus 3 Slack bus

Bus 1 P − Q bus Bus 2 P − Q bus Bus 3 Slack bus

Bus 1 P − |V| bus Bus 2 P − Q bus Bus 3 Slack bus

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Consider the following equation in a 2-D real-space.

for

Which of the following statement(s) is/are true.

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

When p = 2, the area enclosed by the curve is

When p tends to

, the area enclosed by the curve tends to 4.

When p tends to 0, the area enclosed by the curve is 1.

When p = 1, the area enclosed by the curve is 2.

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In the figure, the electric field E and the magnetic field B point to x and z directions, respectively, and have constant magnitudes. A positive charge ‘q’ is released from rest at the origin. Which of the following statement(s) is/are true.

Diagram for Electrical Engineering question 43

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

The charge will move in the direction of z with constant velocity.

The charge will always move on the y-z plane only.

The trajectory of the charge will be a circle.

The charge will progress in the direction of y.

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All the elements in the circuit shown in the following figure are ideal. Which of the following statements is/are true?

Diagram for Electrical Engineering question 44

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

When switch S is ON, both

and

conducts and

is reverse biased

When switch S is ON,

conducts and both

and

are reverse biased

When switch S is OFF,

is reverse biased and both

and

conduct

When switch S is OFF,

conducts,

is reverse biased and

conducts

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The expected number of trials for first occurrence of a “head” in a biased coin is known to be 4. The probability of first occurrence of a “head” in the second trial is __________ (Round off to 3 decimal places).

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Consider the state-space description of an LTI system with matrices

For the input,

, the value of

for which the steady-state output of the system will be zero, is _________ (Round off to the nearest integer).

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A three-phase synchronous motor with synchronous impedance of

per unit per phase has a static stability limit of 2.5 per unit. The corresponding excitation voltage in per unit is __________ (Round off to 2 decimal places).

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A three phase 415 V, 50 Hz, 6-pole, 960 RPM, 4 HP squirrel cage induction motor drives a constant torque load at rated speed operating from rated supply and delivering rated output. If the supply voltage and frequency are reduced by 20%, the resultant speed of the motor in RPM (neglecting the stator leakage impedance and rotational losses) is _________ (Round off to the nearest integer).

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The period of the discrete-time signal

described by the equation below is

__________ (Round off to the nearest integer).

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The discrete-time Fourier transform of a signal

. Consider that

is a periodic signal of period

such that

Note that

. The magnitude of the Fourier series coefficient

is ______________ (Round off to 3 decimal places).

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GATE EE year:2023 PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50