GATE EE year:2017 PYQs & Answers — Page 4

Questions 31–40 of 130. Imported answers require independent review unless marked reviewed.

Topic practice 130 questionsPage 4 of 13

Consider

where

. Here,

represents the largest integer less than or equal to

and

denotes the smallest integer greater than or equal to

. The coefficient of the second harmonic component of the Fourier series representing

is ________.

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The figure below shows the circuit diagram of a controlled rectifier supplied from a 230 V, 50 Hz, 1-phase voltage source and a 10:1 ideal transformer. Assume that all devices are ideal. The firing angles of the thyristors

and

are 90° and 270°, respectively.

Diagram for Electrical Engineering question 16

The RMS value of the current through diode

in amperes is _________.

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Let

, where

is the region shown in the figure and

. The value of

equals ________. (Give the answer up to two decimal places.)

Diagram for Electrical Engineering question 17

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Assume that in a traffic junction, the cycle of the traffic signal lights is 2 minutes of green (vehicle does not stop) and 3 minutes of red (vehicle stops). Consider that the arrival time of vehicles at the junction is uniformly distributed over 5 minute cycle. The expected waiting time (in minutes) for the vehicle at the junction is _________.

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The power supplied by the 25 V source in the figure shown below is ________ W.

Diagram for Electrical Engineering question 18

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Consider a function

given by

The partial derivative of this function with respect to

at the point,

and

is _________.

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The equivalent resistance between the terminals A and B is ________

Diagram for Electrical Engineering question 19

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Let

and

be integers satisfying the following equations

The value of

is ________.

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A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30 Ω per phase. The load angle is 30°. The power delivered to the motor in kW is _____. (Give the answer up to one decimal place).

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Let

and

. The value of

equals ________. (Give the answer up to three decimal places)

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GATE EE year:2017 PYQs

Question 16

Question 16

Question 17

Question 17

Question 18

Question 18

Question 19

Question 19

Question 20

Question 20