GATE EE branch:ee PYQs & Answers — Page 2

Questions 11–20 of 715. Imported answers require independent review unless marked reviewed.

Consider the infinite-length, discrete-time sequence

, where

is an integer. The region of convergence of its Z-transform

is given by:

(Note:

is a complex variable)

Your answerChoose one option.

{z such that $|z|<0.9

|z|>1/0.9$}

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Let

be any continuous-time periodic signal with period

. It is sampled uniformly with a sampling period

where

, resulting in the discrete sequence

, where

is an integer.

Which one of the following statements is correct about

Your answerChoose one option.

will always be periodic with period

for all values of

will always be periodic with period 1 for all values of

will never be periodic

will be periodic if and only if

is a rational number

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The Laplace transform of the step response of a system is given by

The rise time is defined as the time taken for the response to go from 0.1 to 0.9 of its final value. The settling time is defined as the time taken for the response to reach 0.98 of its final value.

For this system, the rise time (

), settling time (

), and time constant (

), all expressed in seconds, are

Your answerChoose one option.

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Consider the following differential equation:

Which one of the following options is correct?

Your answerChoose one option.

It is a linear differential equation

It is a nonlinear differential equation

It is a time-invariant differential equation

It is a second-order partial differential equation

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A uniform ring charge of radius

carries a total charge

. Which one of the following options correctly quantifies the magnitude of the force on a point charge of strength

kept at the center of the ring?

(

is the permittivity of the medium)

Your answerChoose one option.

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A positive point charge with velocity

enters a region having electric field

and magnetic field

. Which one of the following statements is correct for the force on the charge as it enters the region?

Your answerChoose one option.

The force will be along the magnetic field but perpendicular to the electric field

The force will be along the electric field but perpendicular to the magnetic field

The force will be perpendicular to both electric and magnetic field

The magnetic field does not exert any force on the charge

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A 15 kVA, 1100 V/220 V, single-phase two-winding transformer is configured as a 1.32 kV/1.1 kV autotransformer.

What will be the rating of the autotransformer?

Your answerChoose one option.

60 kVA

75 kVA

90 kVA

100 kVA

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Consider a power system with

buses, of which

are generator buses and the remaining

are load buses (where there is no generation).

Assume that there are no reactive power-limit violations at the generator buses.

What is the size of the Jacobian matrix in the Newton-Raphson load flow method?

Your answerChoose one option.

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The initial three-phase voltage phasors (

, and

) at a bus of a power network are as shown in Case-1. Due to a disturbance, the bus voltage phasors changed in phase by a small angle

, and the magnitudes remained the same as depicted in Case-2.

Diagram for Electrical Engineering question 19

Which one of the following statements is correct about the zero sequence components?

Your answerChoose one option.

The zero sequence components in Case-1 and Case-2 have the same phase angle and magnitude

The magnitude of the zero sequence component in Case-1 is greater than that in Case-2

The magnitude of the zero sequence component in Case-2 is greater than that in Case-1

The zero sequence components in Case-1 and Case-2 have the same magnitude but different phase angles

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A certain application requires power at a frequency of 16.67 Hz, while the available grid frequency is 50 Hz. A 3-phase synchronous motor connected to the 50 Hz, 3-phase grid, driving a synchronous generator, is used for this application.

Which one of the following combinations is a suitable choice for the number of poles in the motor and generator, respectively?

Your answerChoose one option.

2, 6

6, 2

4, 6

6, 4

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GATE EE branch:ee PYQs

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20