GATE EE purpose:exam-prep PYQs & Answers — Page 11

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

Topic practice 715 questionsPage 11 of 72

Let

and

be continuous random variables with probability density functions

and

, respectively. Further, let

and

Which one of the following options is correct?

Your answerChoose one option.

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A Boolean function is given as

The simplified form of this function is represented by

Your answerChoose one option.

Diagram for Electrical Engineering question 37

Diagram for Electrical Engineering question 37 (figure 2)

Diagram for Electrical Engineering question 37 (figure 3)

Diagram for Electrical Engineering question 37 (figure 4)

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In the circuit,

is an ideal current source. The transistors

and

are assumed to be biased in saturation, wherein

is the input signal and

is fixed DC voltage. Both transistors have a small signal resistance of

and trans-conductance of

. The small signal output impedance of this circuit is

Diagram for Electrical Engineering question 38

Your answerChoose one option.

infinity

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In the circuit, shown below, if the values of R and C are very large, the form of the output voltage for a very high frequency square wave input, is best represented by

Your answerChoose one option.

Diagram for Electrical Engineering question 39

Diagram for Electrical Engineering question 39 (figure 2)

Diagram for Electrical Engineering question 39 (figure 3)

Diagram for Electrical Engineering question 39 (figure 4)

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Let continuous-time signals

and

Consider the convolution

. Then

Your answerChoose one option.

1.5

2.5

3.5

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Let

. Then the closed-loop system shown in the figure below, is

Diagram for Electrical Engineering question 41

Your answerChoose one option.

stable for all

unstable for all

stable for all

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The continuous-time unit impulse signal is applied as an input to a continuous-time linear time-invariant system

. The output is observed to be the continuous-time unit step signal

. Which one of the following statements is true?

Your answerChoose one option.

Every bounded input signal applied to

results in a bounded output signal.

It is possible to find a bounded input signal which when applied to

results in an unbounded output signal.

On applying any input signal to

, the output signal is always bounded.

On applying any input signal to

, the output signal is always unbounded.

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The transformer connection given in the figure is part of a balanced 3-phase circuit where the phase sequence is “abc”. The primary to secondary turns ratio is 2:1. If

, then the relationship between

and

will be

Diagram for Electrical Engineering question 43

Your answerChoose one option.

and

lags

and

leads

and

lags

and

leads

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A DC series motor with negligible series resistance is running at a certain speed driving a load, where the load torque varies as cube of the speed. The motor is fed from a 400 V DC source and draws 40 A armature current. Assume linear magnetic circuit. The external resistance, in

, that must be connected in series with the armature to reduce the speed of the motor by half, is closest to

Your answerChoose one option.

23.28

4.82

46.7

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A 3-phase, 400 V, 4 pole, 50 Hz star connected induction motor has the following parameters referred to the stator:

Stator resistance, magnetizing reactance and core loss of the motor are neglected. The motor is run with constant V/f control from a drive. For maximum starting torque, the voltage and frequency output, respectively, from the drive, is closest to,

Your answerChoose one option.

400 V and 50 Hz

200 V and 25 Hz

100 V and 12.5 Hz

300 V and 37.5 Hz

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GATE EE purpose:exam-prep PYQs

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45