GATE EE purpose:exam-prep PYQs & Answers — Page 4

Questions 31–40 of 715. Imported answers require independent review unless marked reviewed.

A 220V/12V single-phase transformer is designed for use in India and rated 100 VA at 50 Hz. Later, this unit is shipped to the USA where it is used as a 110V/6V transformer at 60 Hz.

Which of the following statements is/are correct?

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

No-load current drawn would be smaller for operation in the USA compared to that in India

For the same load current, the losses would be higher in the USA compared to that in India

The peak magnetic flux density in the core would be higher while operating in the USA compared to that in India

The eddy current losses in the core would be approximately 44% higher while operating in the USA compared to that in India

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Given that

, the integral

over the unit sphere

centered at the origin evaluates to ________

(Round off to one decimal place)

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In the linear regulator circuit shown, the base to emitter voltage

of the BJT is 0.6 V. The Zener diode clamps the base voltage to 5.4 V. Ignore the biasing current of the Zener diode and BJT.

The maximum possible efficiency of the regulator circuit is __________ %

(Round off to one decimal place)

Diagram for Electrical Engineering question 33

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Consider the circuit shown. Assume that the diode D is ideal. The supply voltage

, and

. The peak diode current (in amperes) is ______________

(Round off to one decimal place)

Diagram for Electrical Engineering question 34

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is an

skew-symmetric matrix with real-valued entries, and

is an

-dimensional column vector with real-valued entries such that

. The quantity

evaluates to ________

(Answer in integer)

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A time-limited waveform

is specified as follows:

A new waveform

is constructed from

as follows:

The sum of the coefficients of the third harmonics of the sine and cosine terms in the trigonometric Fourier series expansion of

What is the value of

Your answerChoose one option.

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In the circuit shown, the open loop gain of the operational amplifier is

What is the voltage gain of the circuit?

(Round off to two decimal places)

Diagram for Electrical Engineering question 37

Your answerChoose one option.

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Three single-phase 11kV/3.3kV transformers are connected to form a three-phase transformer bank with connections as shown.

Diagram for Electrical Engineering question 38

Considering ABC phase sequence, the vector group of the transformer is:

Your answerChoose one option.

Dd0

Dd4

Dd6

Dd10

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In the circuit shown, the phase currents are

Diagram for Electrical Engineering question 39

Given that the CTs are ideal with no saturation, and the turns ratio of the Main CT is 300:5 and that of the Auxiliary Transformer (YₙΔ) is 2:1 on every phase, the value of

, rounded off to three decimal places, is:

Your answerChoose one option.

0 A

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The operating characteristic of a reactance relay is given by

, where

is the reactance calculated by the relay. Its operating characteristic in the admittance plane (G-B plane, where G and B denote conductance and susceptance, respectively, expressed in

) is given by:

Your answerChoose one option.

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GATE EE purpose:exam-prep PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40