GATE ECE format:mcq PYQs & Answers — Page 7

Questions 61–70 of 426. Imported answers require independent review unless marked reviewed.

Consider a part of an electrical network as shown below. Some node voltages, and the current flowing through the

resistor are as indicated. The voltage (in Volts) at node

is _____.

Diagram for Electronics and Communication Engineering question 19

Your answerChoose one option.

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Let

, and

be the currents flowing through the capacitor, inductor, and resistor, respectively, in the circuit given below. The AC admittances are given in Siemens (S). Which one of the following is TRUE?

Diagram for Electronics and Communication Engineering question 20

Your answerChoose one option.

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A simplified small-signal equivalent circuit of a BJT-based amplifier is given below. The small-signal voltage gain

(in V/V) is ________.

Diagram for Electronics and Communication Engineering question 21

Your answerChoose one option.

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The ideal BJT in the circuit given below is biased in the active region with a

of 100. If

is 10

A, then

(in Volts, rounded off to two decimal places) is ______ .

Diagram for Electronics and Communication Engineering question 22

Your answerChoose one option.

4.05

3.03

1.92

3.73

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A 3-input majority logic gate has inputs

, and

. The output

of the gate is logic ‘1’ if two or more of the inputs are logic ‘1’. The output

is logic ‘0’ if two or more of the inputs are logic ‘0’. Which one of the following options is a Boolean expression of the output

Your answerChoose one option.

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A full adder and an XOR gate are used to design a digital circuit with inputs X, Y, and Z, and output F, as shown below. The input Z is connected to the carry-in input of the full adder.

If the input Z is set to logic ‘1’, then the circuit functions as ______ with X and Y as inputs.

Diagram for Electronics and Communication Engineering question 24

Your answerChoose one option.

an adder

a subtractor

a multiplier

a binary to Gray code converter

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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

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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.

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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.

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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

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GATE ECE format:mcq PYQs

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 36

Question 37

Question 38

Question 39