GATE EE purpose:exam-prep PYQs & Answers — Page 57

Questions 561–570 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 57 of 72

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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is a circle

and

, then

Your answerChoose one option.

-1

-2

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Which one of the following statements is true about the digital circuit shown in the figure

Diagram for Electrical Engineering question 36

Your answerChoose one option.

It can be used for dividing the input frequency by 3.

It can be used for dividing the input frequency by 5.

It can be used for dividing the input frequency by 7.

It cannot be reliably used as a frequency divider due to disjoint internal cycles.

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Digital input signals

with

as the MSB and

as the LSB are used to realize the Boolean function

, where

denotes the

minterm. In addition,

has a don’t care for

. The simplified expression for

is given by

Your answerChoose one option.

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Consider the two continuous-time signals defined below:

These signals are sampled with a sampling period of

seconds to obtain discrete-time signals

and

, respectively. Which one of the following statements is true?

Your answerChoose one option.

The energy of

is greater than the energy of

The energy of

is greater than the energy of

and

have equal energies.

Neither

nor

is a finite-energy signal.

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The signal energy of the continuous-time signal

Your answerChoose one option.

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The Fourier transform of a continuous-time signal

is given by

, where

and

denotes frequency. Then the value of

is ________ (up to 1 decimal place). (ln denotes the logarithm to base e)

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GATE EE purpose:exam-prep PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40