GATE EE year:2025 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

An ideal low pass filter has frequency response given by

. Let

be its time domain representation. Then

_____ (round off to the nearest integer).

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Consider the state-space model

where

are the state, input and output, respectively. The matrices

are given below

The sum of the magnitudes of the poles is ____________ (round off to nearest integer).

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Using shunt capacitors, the power factor of a 3-phase, 4 kV induction motor (drawing 390 kVA at 0.77 pf lag) is to be corrected to 0.85 pf lag. The line current of the capacitor bank, in A, is ____________ (round off to one decimal place).

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Two units, rated at 100 MW and 150 MW, are enabled for economic load dispatch. When the overall incremental cost is 10,000 Rs./MWh, the units are dispatched to 50 MW and 80 MW respectively. At an overall incremental cost of 10,600 Rs./MWh, the power outputs of the units are 80 MW and 92 MW, respectively. The total plant MW-output (without overloading any unit) at an overall incremental cost of 11,800 Rs./MWh is ____________ (round off to the nearest integer).

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A controller

of the form

is to be designed for the plant

as shown in the figure. The value of

that yields a phase margin of

at the gain cross-over frequency of 10 rad/sec is ________________ (round off to one decimal place).

Diagram for Electrical Engineering question 65

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GATE EE year:2025 PYQs

Question 61

Question 62

Question 63

Question 64

Question 65