GATE ECE topic:electronics PYQs & Answers — Page 11

Questions 101–110 of 715. Imported answers require independent review unless marked reviewed.

Let

be the transfer function of a second-order system. A controller

is connected to the system

in the configuration shown below.

Consider the following statements.

(i) There exists no controller of the form

, where

is a positive real number, such that the closed loop system is stable.

(ii) There exists at least one controller of the form

, where

and

are positive real numbers, such that the closed loop system is stable.

Which one of the following options is correct?

Diagram for Electronics and Communication Engineering question 36

Your answerChoose one option.

(i) is TRUE and (ii) is FALSE

(i) is FALSE and (ii) is TRUE

Both (i) and (ii) are FALSE

Both (i) and (ii) are TRUE

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the polynomial

. Let

be defined as follows.

is the number of roots of

with negative real parts.

is the number of roots of

that are purely imaginary.

is the number of roots of

with positive real parts.

Which one of the following options is correct?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a continuous-time finite-energy signal

whose Fourier transform vanishes outside the frequency interval

, where

is in rad/sec.

The signal

is uniformly sampled to obtain

. Here,

with

being the Dirac impulse,

, and

. The sampled signal

is passed through an ideal low pass filter

with cutoff frequency

and passband gain

The output of the filter is given by ____________.

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In the circuit below,

is an ideal AC voltmeter and

is an ideal AC ammeter. The source voltage (in Volts) is

What should be the value of the variable capacitor

such that the RMS readings on

and

are 25 V and 5 A, respectively?

Diagram for Electronics and Communication Engineering question 39

Your answerChoose one option.

25 μF

4 μF

0.25 μF

Insufficient information to find

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The

-parameter matrix of a two port network relates the port voltages and port currents as follows:

The

-parameter matrix (with each entry in Ohms) of the network shown below is ________.

Diagram for Electronics and Communication Engineering question 40

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A source transmits symbol

that takes values uniformly at random from the set

. The receiver obtains

, where

is a zero-mean Gaussian random variable independent of

. The receiver uses the maximum likelihood decoder to estimate the transmitted symbol

Suppose the probability of symbol estimation error

is expressed as follows:

where

denotes the probability that

exceeds 1.

What is the value of

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a real-valued random process

where

and

is a positive integer. Here,

for

and 0 otherwise. The coefficients

are pairwise independent, zero-mean unit-variance random variables.

Read the following statements about the random process and choose the correct option.

(i) The mean of the process

is independent of time

(ii) The autocorrelation function

is independent of time

for all

(Here,

is the expectation operation.)

Your answerChoose one option.

(i) is TRUE and (ii) is FALSE

Both (i) and (ii) are TRUE

Both (i) and (ii) are FALSE

(i) is FALSE and (ii) is TRUE

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The identical MOSFETs M₁ and M₂ in the circuit given below are ideal and biased in the saturation region. M₁ and M₂ have a transconductance

of 5 mS.

The input signals (in Volts) are:

The output signal

(in Volts) is ________.

Diagram for Electronics and Communication Engineering question 43

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A 10-bit analog-to-digital converter (ADC) has a sampling frequency of 1 MHz and a full scale voltage of 3.3 V.

For an input sinusoidal signal with frequency 500 kHz, the maximum SNR (in dB, rounded off to two decimal places) and the data rate (in Mbps) at the output of the ADC are ________, respectively.

Your answerChoose one option.

61.96 and 10

61.96 and 5

33.36 and 10

33.36 and 5

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A positive-edge-triggered sequential circuit is shown below. There are no timing violations in the circuit. Input P0 is set to logic ‘0’ and P1 is set to logic ‘1’ at all times. The timing diagram of the inputs SEL and S are also shown below.

The sequence of output Y from time T₀ to T₃ is ________.

Diagram for Electronics and Communication Engineering question 45

Your answerChoose one option.

1011

0100

0010

1101

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE ECE topic:electronics PYQs

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45