GATE EE topic:electrical-engineering PYQs & Answers — Page 25

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Questions 241–250 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 25 of 72

Consider the state-space description of an LTI system with matrices

For the input,

, the value of

for which the steady-state output of the system will be zero, is _________ (Round off to the nearest integer).

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A three-phase synchronous motor with synchronous impedance of

per unit per phase has a static stability limit of 2.5 per unit. The corresponding excitation voltage in per unit is __________ (Round off to 2 decimal places).

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A three phase 415 V, 50 Hz, 6-pole, 960 RPM, 4 HP squirrel cage induction motor drives a constant torque load at rated speed operating from rated supply and delivering rated output. If the supply voltage and frequency are reduced by 20%, the resultant speed of the motor in RPM (neglecting the stator leakage impedance and rotational losses) is _________ (Round off to the nearest integer).

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The period of the discrete-time signal

described by the equation below is

__________ (Round off to the nearest integer).

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The discrete-time Fourier transform of a signal

. Consider that

is a periodic signal of period

such that

Note that

. The magnitude of the Fourier series coefficient

is ______________ (Round off to 3 decimal places).

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For the circuit shown, if

, the instantaneous value of the Thevenin’s equivalent voltage (in Volts) across the terminals a-b at time

ms is __________ (Round off to 2 decimal places).

Diagram for Electrical Engineering question 51

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The admittance parameters of the passive resistive two-port network shown in the figure are

The power delivered to the load resistor

in Watt is _________ (Round off to 2 decimal places).

Diagram for Electrical Engineering question 52

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When the winding c-d of the single-phase, 50 Hz, two winding transformer is supplied from an AC current source of frequency 50 Hz, the rated voltage of 200 V (rms), 50 Hz is obtained at the open-circuited terminals a-b. The cross sectional area of the core is 500 mm

and the average core length traversed by the mutual flux is 500 mm. The maximum allowable flux density in the core is

Wb/m

and the relative permeability of the core material is 5000. The leakage impedance of the winding a-b and winding c-d at 50 Hz are

and

, respectively. Considering the magnetizing characteristics to be linear and neglecting core loss, the self-inductance of the winding a-b in millihenry is __________ (Round off to 1 decimal place).

Diagram for Electrical Engineering question 53

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The circuit shown in the figure is initially in the steady state with the switch K in open condition and

in closed condition. The switch K is closed and

is opened simultaneously at the instant

, where

. The minimum value of

in milliseconds, such that there is no transient in the voltage across the 100

F capacitor, is ____________ (Round off to 2 decimal places).

Diagram for Electrical Engineering question 54

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The circuit shown in the figure has reached steady state with thyristor T in OFF condition. Assume that the latching and holding currents of the thyristor are zero. The thyristor is turned ON at t = 0 sec. The duration in microseconds for which the thyristor would conduct, before it turns off, is _____ (Round off to 2 decimal places).

Diagram for Electrical Engineering question 55

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GATE EE topic:electrical-engineering PYQs

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55