GATE ECE purpose:exam-prep PYQs & Answers — Page 51

Questions 501–510 of 715. Imported answers require independent review unless marked reviewed.

Two identical copper wires W1 and W2, placed in parallel as shown in the figure, carry currents

and

, respectively, in opposite directions. If the two wires are separated by a distance of

, then the magnitude of the magnetic field

between the wires at a distance

from W1 is

Diagram for Electronics and Communication Engineering question 36

Your answerChoose one option.

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The dispersion equation of a waveguide, which relates the wavenumber

to the frequency

, is

where the speed of light

m/s, and

is a constant. If the group velocity is

m/s, then the phase velocity is

Your answerChoose one option.

m/s

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In the circuit shown, the breakdown voltage and the maximum current of the Zener diode are 20 V and 60 mA, respectively. The values of

and

are 200

and 1 k

, respectively. What is the range of

that will maintain the Zener diode in the ‘on’ state?

Diagram for Electronics and Communication Engineering question 38

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22 V to 34 V

24 V to 36 V

18 V to 24 V

20 V to 28 V

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The state transition diagram for the circuit shown is

Diagram for Electronics and Communication Engineering question 39

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Diagram for Electronics and Communication Engineering question 39 (figure 2)

Diagram for Electronics and Communication Engineering question 39 (figure 3)

Diagram for Electronics and Communication Engineering question 39 (figure 4)

Diagram for Electronics and Communication Engineering question 39 (figure 5)

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In the circuits shown, the threshold voltage of each nMOS transistor is 0.6 V. Ignoring the effect of channel length modulation and body bias, the values of Vout1 and Vout2, respectively, in volts, are

Diagram for Electronics and Communication Engineering question 40

Your answerChoose one option.

1.8 and 1.2

2.4 and 2.4

1.8 and 2.4

2.4 and 1.2

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The RC circuit shown below has a variable resistance

given by the following expression:

where

, and

. We are also given that

and the source voltage is

. If the current at time

is 1 A, then the current

, in amperes, at time

is __________ (rounded off to 2 decimal places).

Diagram for Electronics and Communication Engineering question 41

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Consider a unity feedback system, as in the figure shown, with an integral compensator

and open-loop transfer function

, where

. The positive value of

for which there are exactly two poles of the unity feedback system on the

axis is equal to ______ (rounded off to two decimal places).

Diagram for Electronics and Communication Engineering question 42

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Consider the homogeneous ordinary differential equation

, with

as a general solution. Given that

and

, the value of

, rounded off to two decimal places, is ______.

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Let

be a length-7 discrete-time finite impulse response filter, given by

, and

is zero for

. A length-3 finite impulse response approximation

has to be obtained such that

is minimized, where

and

are the discrete-time Fourier transforms of

and

, respectively. For the filter that minimizes

, the value of

, rounded off to 2 decimal places, is ______.

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Let a random process

be described as

, where

is a white noise process with power spectral density

. The filter

has a magnitude response given by

for

, and zero elsewhere.

is a stationary random process, uncorrelated with

, with power spectral density as shown in the figure. The power in

, in watts, is equal to ______ W (rounded off to two decimal places).

Diagram for Electronics and Communication Engineering question 45

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GATE ECE purpose:exam-prep PYQs

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45