GATE EE format:nat PYQs & Answers — Page 20

Questions 191–200 of 256. Imported answers require independent review unless marked reviewed.

Topic practice 256 questionsPage 20 of 26

A separately excited dc motor has an armature resistance

. The field excitation is kept constant. At an armature voltage of 100 V, the motor produces a torque of 500 Nm at zero speed. Neglecting all mechanical losses, the no-load speed of the motor (in radians/s) for an armature voltage of 150 V is ____ (up to 2 decimal places).

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Consider a unity feedback system with forward transfer function given by

The steady-state error in the output of the system for a unit-step input is ________ (up to 2 decimal places).

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The Fourier transform of a continuous-time signal

is given by

, where

and

denotes frequency. Then the value of

is ________ (up to 1 decimal place). (ln denotes the logarithm to base e)

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In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain

. The base-emitter voltage drop is a constant,

. The value of the Thevenin equivalent resistance

(in

) as shown in the figure

Diagram for Electrical Engineering question 41

is ______ (up to 2 decimal places).

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As shown in the figure,

is the arc from the point

to the point

on the circle

. The value of the integral

is ______ (up to 2 decimal places).

Diagram for Electrical Engineering question 42

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Let

. The maximum value of

over the interval

is ______ (up to 1 decimal place).

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Let

and

, where

is the

identity matrix. The determinant of

is ______ (up to 1 decimal place).

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The capacitance of an air-filled parallel-plate capacitor is 60 pF. When a dielectric slab whose thickness is half the distance between the plates, is placed on one of the plates covering it entirely, the capacitance becomes 86 pF. Neglecting the fringing effects, the relative permittivity of the dielectric is __________ (up to 2 decimal places).

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The unit step response

of a unity feedback system with open loop transfer function

is shown in the figure. The value of

is ______ (up to 2 decimal places).

Diagram for Electrical Engineering question 46

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A three-phase load is connected to a three-phase balanced supply as shown in the figure. If

and

(angles are considered positive in the anti-clockwise direction), the value of

for zero current in the neutral wire is __________

(up to 2 decimal places).

Diagram for Electrical Engineering question 47

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GATE EE format:nat PYQs

Question 24

Question 25

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47