GATE EE year:2017 PYQs & Answers — Page 11

Questions 101–110 of 130. Imported answers require independent review unless marked reviewed.

Topic practice 130 questionsPage 11 of 13

Consider a causal and stable LTI system with rational transfer function

, whose corresponding impulse response begins at

. Furthermore,

. The poles of

are

for

. The zeros of

are all at

. Let

. The value of

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

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Consider an overhead transmission line with 3-phase, 50 Hz balanced system with conductors located at the vertices of an equilateral triangle of length

as shown in figure below. The resistances of the conductors are neglected. The geometric mean radius (GMR) of each conductor is 0.01 m. Neglecting the effect of ground, the magnitude of positive sequence reactance in

(rounded off to three decimal places) is _____.

Diagram for Electrical Engineering question 51

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The circuit shown in the figure uses matched transistors with a thermal voltage

mV. The base currents of the transistors are negligible. The value of the resistance R in

that is required to provide 1

A bias current for the differential amplifier block shown is

Diagram for Electrical Engineering question 52

________. (Give the answer up to one decimal place.)

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A 3-phase, 50 Hz generator supplies power of 3MW at 17.32 kV to a balanced 3-phase inductive load through an overhead line. The per phase line resistance and reactance are 0.25 Ω and 3.925Ω respectively. If the voltage at the generator terminal is 17.87 kV, the power factor of the load is _____.

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The figure below shows an uncontrolled diode bridge rectifier supplied from a 220 V, 50 Hz, 1-phase ac source. The load draws a constant current

A. The conduction angle of the diode D

in degrees (rounded off to two decimal places) is ________.

Diagram for Electrical Engineering question 53

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Two generating units rated 300 MW and 400 MW have governor speed regulation of 6% and 4% respectively from no load to full load. Both the generating units are operating in parallel to share a load of 600 MW. Assuming free governor action, the load shared by the larger unit is _____ MW.

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The positive, negative, and zero sequence reactances of a wye-connected synchronous generator are 0.2 pu, 0.2 pu, and 0.1 pu, respectively. The generator is on open circuit with a terminal voltage of 1 pu. The minimum value of the inductive reactance, in pu, required to be connected between neutral and ground so that the fault current does not exceed 3.75 pu if a single line to ground fault occurs at the terminals is ________ (assume fault impedance to be zero). (Give the answer up to one decimal place.)

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A 3-phase, 2-pole, 50 Hz synchronous generator has a rating of 250 MVA, 0.8 pf lagging. The kinetic energy of the machine at synchronous speed is 1000 MJ. The machine is running steadily at synchronous speed and delivering 60 MW power at a power angle of 10 electrical degrees. If the load is suddenly removed, assuming the acceleration is constant for 10 cycles, the value of the power angle after 5 cycles is _____ electrical degrees.

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The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for electrical power is

, where

is the rotor angle. The system is operating at the stable equilibrium point with mechanical power equal to 1 pu. If one of the transmission line circuits is removed, the maximum value of

, as the rotor swings, is 1.221 radian. If the expression for electrical power with one transmission line circuit removed is

, the value of

, in pu is ________. (Give the answer up to three decimal places.)

Diagram for Electrical Engineering question 55

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A thin soap bubble of radius

cm, and thickness

, is at a potential of 1 V with respect to a reference point at infinity. The bubble bursts and becomes a single spherical drop of soap (assuming all the soap is contained in the drop) of radius

. The volume of the soap in the thin bubble is

and that of the drop is

. The potential in volts, of the resulting single spherical drop with respect to the same reference point at infinity is _____. (Give the answer up to two decimal places.)

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GATE EE year:2017 PYQs

Question 51

Question 51

Question 52

Question 52

Question 53

Question 53

Question 54

Question 54

Question 55

Question 55