GATE EC question library

Practise GATE EC Electronics and Communication previous year questions free. Browse by subject, syllabus topic, year and question type, with answers and available solutions.

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SubjectTopicYearType

Find the correct match between group

1

and group

2.

Group I …

The power in the signal

s(t)=8 \cos \left(20 \pi t-\frac{\pi}{2}\right)+

4 \sin (15 \pi t)

Which of the following analog modulation scheme requires the minimum transmitted power and minimum channel bandwidth?

A linear system is equivalently represented by two sets of state equations.

\dot{X}=\mathrm{AX}+\mathrm{BU} \text{ and } \dot{W}=\mathrm{CW}+\mathrm{DU} \text{. }

The eigenvalues of the representations are also computed as

\{\lambda\}

and

\{\mu\}

. Which one of the following statements is true?

Despite the presence of negative feedback, control systems still have problems of instability because the

The magnetic field intensity vector of a plane wave is given by

\overline{\mathrm{H}}(x, y, z, t)=10 \sin \left(50000 t+0.004 x+30 \; \hat{a}_{y}\right)

, where

\hat{a}_{y}

denotes the unit vector in

y

direction. The wave is propagating with a phase velocity

Many circles are drawn in a Smith chart used for transmission line calculations. The circles shown in the figure represent

Refractive index of glass is

1.5.

Find the wavelength of a beam of light with a frequency of

10^{14} \mathrm{~Hz}

in glass. Assume velocity of light is

3 \times 10^{8} \mathrm{~m} / \mathrm{s}

in vacuum.

In what range should

\operatorname{Re}(s)

remain so that the Laplace transform of the function

e^{(n+2)t+5}

exits?

Given the matrix

\left[\begin{array}{cc}-4 & 2 \\ 4 & 3\end{array}\right]

, the eigenvector is

Let,

\mathrm{A}=\left[\begin{array}{cc}2 & -0.1 \\ 0 & 3\end{array}\right]

and

\mathrm{A}^{-1}=\left[\begin{array}{ll}\frac{1}{2} & \mathrm{a} \\ 0 & \mathrm{~b}\end{array}\right]

Then

(a+b)=

The value of the integral

\text{I}=\frac{1}{\sqrt{2 \pi}} \int_{0}^{\infty} \exp \left(-\frac{x^{2}}{8}\right)

d x

Match the following and choose the correct combination: …

Given an orthogonal matrix

A=\left[\begin{array}{cccc}1 & 1 & 1 & 1 \\ 1 & 1 & -1 & -1 \\ 1 & -1 & 0 & 0 \\ 0 & 0 & 1 & -1\end{array}\right]

\left[\mathrm{AA}^{\mathrm{T}}\right]^{-1}

For the circuit show in the figure, the instantaneous current

i_{i}(t)

Impedance

\mathrm{Z}

as shown in the given figure is

For the circuit shown in the figure, Thevenin's voltage and Thevenin's equivalent resistance atterminals

a-b

R_{1}=R_{2}=R_{4}=R

and

R_{3}=1.1 R

in the bridge circuit shown in the figure, then the reading in the ideal voltmeter connected between

a

and

b

The

h

parameters of the circuit shown in the figure are

A square pulse of

3

volts amplitude is applied to

C-R

circuit shown in the figure. The capacitor is initially uncharged. The output voltage

\mathrm{V}_{0}

at time

t=2 \mathrm{sec}