GATE EE year:2021 PYQs & Answers — Page 5

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

Topic practice 65 questionsPage 5 of 7

The causal signal with z-transform

is (

is the unit step signal)

Your answerChoose one option.

(n+1)

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Let

be an even function, i.e.

for all

. Let the Fourier transform of

be defined as

. Suppose

for all

, and

. Then

Your answerChoose one option.

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In a single-phase transformer, the total iron loss is 2500 W at nominal voltage of 440 V and frequency 50 Hz. The total iron loss is 850 W at 220 V and 25 Hz. Then, at nominal voltage and frequency, the hysteresis loss and eddy current loss respectively are

Your answerChoose one option.

1600 W and 900 W

900 W and 1600 W

250 W and 600 W

600 W and 250 W

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In the figure shown, self-impedances of the two transmission lines are 1.5j p.u each, and

p.u is the mutual impedance. Bus voltages shown in the figure are in p.u. Given that

, the maximum steady-state real power that can be transferred in p.u from Bus-1 to Bus-2 is

Diagram for Electrical Engineering question 34

Your answerChoose one option.

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A 3-Bus network is shown. Consider generators as ideal voltage sources. If rows 1, 2 and 3 of the

matrix correspond to Bus 1, 2 and 3, respectively, then

of the network is

Diagram for Electrical Engineering question 35

Your answerChoose one option.

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Suppose

and

are a set of unbalanced current phasors in a three-phase system. The phase-B zero-sequence current

p.u. If phase-A current

p.u and phase-C current

p.u, then

in p.u is

Your answerChoose one option.

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A counter is constructed with three D flip-flops. The input-output pairs are named

, and

, where the subscript 0 denotes the least significant bit. The output sequence is desired to be the Gray-code sequence 000, 001, 011, 010, 110, 111, 101, and 100, repeating periodically. Note that the bits are listed in the

format. The combinational logic expression for

Your answerChoose one option.

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Let A be a

matrix such that

is a null matrix, and let I be the

identity matrix. The determinant of

is _____________.

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A three-phase balanced voltage is applied to the load shown. The phase sequence is RYB. The ratio

is ___________.

Diagram for Electrical Engineering question 39

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In the given circuit, for maximum power to be delivered to

, its value should be __________

. (Round off to 2 decimal places.)

Diagram for Electrical Engineering question 40

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GATE EE year:2021 PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40