GATE ECE exam:gate PYQs & Answers — Page 38

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Questions 371–380 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 38 of 72

A real

non-singular matrix

with repeated eigenvalue is given as

where

is a real positive number. The value of

(rounded off to one decimal place) is ________.

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For a vector field

in a cylindrical coordinate system

with unit vectors

and

, the net flux of

leaving the closed surface of the cylinder

(rounded off to two decimal places) is ________.

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In the circuit shown in the figure, the switch is closed at time

, while the capacitor is initially charged to

(i.e.,

The time after which the voltage across the capacitor becomes zero (rounded off to three decimal places) is ________ ms.

Diagram for Electronics and Communication Engineering question 38

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The exponential Fourier series representation of a continuous-time periodic signal

is defined as

where

is the fundamental angular frequency of

and the coefficients of the series are

. The following information is given about

and

is real and even, having a fundamental period of 6 II. The average value of

is 2 III.

The average power of the signal

(rounded off to one decimal place) is ________.

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For a unit step input

, a discrete-time LTI system produces an output signal

. Let

be the output of the system for an input

. The value of

is ________.

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Consider the signals

and

, where

is the unit step sequence. Let

and

be the discrete-time Fourier transform of

and

, respectively. The value of the integral

(rounded off to one decimal place) is ________.

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A silicon P-N junction is shown in the figure. The doping in the P region is

and doping in the N region is

. The parameters given are

Built-in voltage (

) = 0.8 V

Electron charge (

) =

Vacuum permittivity (

) =

F/m

Relative permittivity of silicon (

) = 12

The magnitude of reverse bias voltage that would completely deplete one of the two regions (P or N) prior to the other (rounded off to one decimal place) is ________ V.

Diagram for Electronics and Communication Engineering question 42

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An asymmetrical period pulse train

of 10 V amplitude with on-time

and off-time

is applied to the circuit shown in the figure. The diode

is ideal.

The difference between the maximum voltage and minimum voltage of the output waveform

(in integer) is ________ V.

Diagram for Electronics and Communication Engineering question 43

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For the transistor

in the circuit shown in the figure,

and

, where

is the mobility of electron,

is the oxide capacitance per unit area,

is the width and

is the length. The channel length modulation coefficient is ignored. If the gate-to-source voltage

is 1 V to keep the transistor at the edge of saturation, the threshold voltage of the transistor (rounded off to one decimal place) is ______ V.

Diagram for Electronics and Communication Engineering question 44

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A circuit with an ideal OPAMP is shown in the figure. A pulse

of 20 ms duration is applied to the input. The capacitors are initially uncharged.

Diagram for Electronics and Communication Engineering question 45

The output voltage

of this circuit at

(in integer) is ______ V.

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GATE ECE exam:gate PYQs

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45