Complete GATE ECE 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 13 of 22

Question 37

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ECMCQ2 marksNeeds review
Consider a unity negative feedback control system with forward path gain

as shown.
Diagram for Electronics and Communication Engineering question 37

The impulse response of the closed-loop system decays faster than

if ______.
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Question 38

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ECMCQ2 marksNeeds review
A satellite attitude control system, as shown below, has a plant with transfer function

cascaded with a compensator

, where

and

are positive real constants.
Diagram for Electronics and Communication Engineering question 38

In order for the closed-loop system to have poles at

, the value of

must be ______.
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Question 39

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ECMCQ2 marksNeeds review
A uniform plane wave with electric field

V/m is traveling in the air (relative permittivity,

and relative permeability,

) in the

direction (

is a positive constant,

is the unit vector along the

axis). It is incident normally on an ideal electric conductor (conductivity,

) at

. The position of the first null of the total magnetic field in the air (measured from

, in metres) is ______.
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