GATE EE exam:gate PYQs & Answers — Page 43

Questions 421–430 of 715. Imported answers require independent review unless marked reviewed.

A single-phase, 4 kVA, 200 V/100 V, 50 Hz transformer with laminated CRGO steel core has rated no-load loss of 450 W. When the high-voltage winding is excited with 160 V, 40 Hz sinusoidal ac supply, the no-load losses are found to be 320 W. When the high-voltage winding of the same transformer is supplied from a 100 V, 25 Hz sinusoidal ac source, the no-load losses will be ________ W (rounded off to 2 decimal places).

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A single-phase inverter is fed from a 100 V dc source and is controlled using a quasi-square wave modulation scheme to produce an output waveform,

, as shown. The angle

is adjusted to entirely eliminate the 3rd harmonic component from the output voltage. Under this condition, for

, the magnitude of the 5th harmonic component as a percentage of the magnitude of the fundamental component is ________ (rounded off to 2 decimal places).

Diagram for Electrical Engineering question 22

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A single 50 Hz synchronous generator on droop control was delivering 100 MW power to a system. Due to increase in load, generator power had to be increased by 10 MW, as a result of which, system frequency dropped to 49.5 Hz. Further increase in load in the system resulted in a frequency of 49.25 Hz. At this condition, the power in MW supplied by the generator is ________ (rounded off to 2 decimal places).

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Consider a negative unity feedback system with forward path transfer function

, where

are positive real numbers. For a Nyquist path enclosing the entire imaginary axis and right half of the

-plane in the clockwise direction, the Nyquist plot of

encircles the origin of

-plane once in the clockwise direction and never passes through this origin for a certain value of

. Then, the number of poles of

lying in the open right half of the

-plane is ________.

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The cross-section of a metal-oxide-semiconductor structure is shown schematically.

Diagram for Electrical Engineering question 25

Starting from an uncharged condition, a bias of +3 V is applied to the gate contact with respect to the body contact. The charge inside the silicon dioxide layer is then measured to be +Q. The total charge contained within the dashed box shown, upon application of bias, expressed as a multiple of Q (absolute value in Coulombs, rounded off to the nearest integer) is ________.

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For real numbers,

and

, with

, the maximum and minimum value of

for

are respectively, ________.

Your answerChoose one option.

7 and 1/4.

7 and 1.

−2 and −1/2.

1 and 1/4.

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The vector function expressed by

represents a conservative field, where

are unit vectors along x, y and z directions, respectively. The values of constants

are given by:

Your answerChoose one option.

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A 250 V dc shunt motor has an armature resistance of 0.2

and a field resistance of 100

. When the motor is operated on no-load at rated voltage, it draws an armature current of 5 A and runs at 1200 rpm. When a load is coupled to the motor, it draws total line current of 50 A at rated voltage, with a 5 % reduction in the air-gap flux due to armature reaction. Voltage drop across the brushes can be taken as 1 V per brush under all operating conditions. The speed of the motor, in rpm, under this load condition, is closest to:

Your answerChoose one option.

1200

1000

1220

900

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Two buses,

and

, are connected with a transmission line of admittance

, at the two ends of which there are ideal transformers with turns ratios as shown. Bus admittance matrix for the system is:

Diagram for Electrical Engineering question 29

Your answerChoose one option.

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Consider the diode circuit shown below. The diode D obeys the current-voltage characteristic

, where

is the voltage across the diode and

is the current through it. The circuit is biased so that voltage,

and current,

. If you had to design this circuit to transfer maximum power from the current source (

) to a resistive load (not shown at the output), what values of

and

would you choose?

Diagram for Electrical Engineering question 30

Your answerChoose one option.

Large

and large

Small

and small

Large

and small

Small

and large

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GATE EE exam:gate PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30