GATE EE format:mcq PYQs & Answers — Page 35

Questions 341–350 of 437. Imported answers require independent review unless marked reviewed.

Topic practice 437 questionsPage 35 of 44

A continuous-time input signal x(t) is an eigenfunction of an LTI system, if the output is

Your answerChoose one option.

k x(t), where k is an eigenvalue

, where k is an eigenvalue and

is a complex exponential signal

, where

is a complex exponential signal

k H(ω), where k is an eigenvalue and H(ω) is a frequency response of the system

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A transformer with toroidal core of permeability

is shown in the figure. Assuming uniform flux density across the circular core cross-section of radius

, and neglecting any leakage flux, the best estimate for the mean radius

Diagram for Electrical Engineering question 26

Your answerChoose one option.

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A 0-1 Ampere moving iron ammeter has an internal resistance of 50 mΩ and inductance of 0.1 mH. A shunt coil is connected to extend its range to 0-10 ampere for all operating frequencies. The time constant in milliseconds and resistance in mΩ of the shunt coil respectively are

Your answerChoose one option.

2, 5.55

2, 1

2.18, 0.55

11.1, 2

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The positive, negative and zero sequence impedances of a three phase generator are

and

respectively. For a line-to-line fault with fault impedance

, the fault current is

, where

is the fault current with zero fault impedance. The relation between

and

Your answerChoose one option.

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Consider the two bus power system network with given loads as shown in the figure. All the values shown in the figure are in per unit. The reactive power supplied by generator G₁ and G₂ are QG₁ and QG₂ respectively. The per unit values of QG₁, QG₂, and line reactive power loss (Qloss) respectively are

Diagram for Electrical Engineering question 29

Your answerChoose one option.

5.00, 12.68, 2.68

6.34, 10.00, 1.34

6.34, 11.34, 2.68

5.00, 11.34, 1.34

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The per-unit power output of a salient-pole generator which is connected to an infinite bus, is given by the expression,

, where

is the load angle. Newton-Raphson method is used to calculate the value of

for

pu. If the initial guess is 30°, then its value (in degree) at the end of the first iteration is

Your answerChoose one option.

15°

28.48°

28.74°

31.20°

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A DC voltage source is connected to a series L-C circuit by turning on the switch S at time

as shown in the figure. Assume

. Which one of the following circular loci represents the plot of

versus

Diagram for Electrical Engineering question 31

Your answerChoose one option.

Diagram for Electrical Engineering question 31 (figure 2)

Diagram for Electrical Engineering question 31 (figure 3)

Diagram for Electrical Engineering question 31 (figure 4)

Diagram for Electrical Engineering question 31 (figure 5)

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The equivalent impedance

for the infinite ladder circuit shown in the figure is

Diagram for Electrical Engineering question 32

Your answerChoose one option.

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Consider a system governed by the following equations

The initial conditions are such that

. Let

and

. Which one of the following is true?

Your answerChoose one option.

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The number of roots of the polynomial

, in the open left half of the complex plane is

Your answerChoose one option.

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GATE EE format:mcq PYQs

Question 16

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34