GATE ECE topic:signals-and-systems PYQs & Answers — Page 17

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topic:signals-and-systems

Questions 161–170 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 17 of 72

In the given circuit, the current

(in mA) is ______.

Diagram for Electronics and Communication Engineering question 31

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In the circuit given below, the switch S was kept open for a sufficiently long time and is closed at time

. The time constant (in seconds) of the circuit for

is ______.

Diagram for Electronics and Communication Engineering question 32

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Suppose X and Y are independent and identically distributed random variables that are distributed uniformly in the interval [0,1]. The probability that X ≥ Y is ______ .

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A source transmits symbols from an alphabet of size 16. The value of maximum achievable entropy (in bits) is ______.

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As shown in the circuit given below, the initial voltage across the capacitor is 10 V, with the switch being open. The switch is then closed at

. The total energy dissipated in the ideal Zener diode (

V) after the switch is closed (in mJ, rounded off to three decimal places) is ________.

Diagram for Electronics and Communication Engineering question 35

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Consider the Earth to be a perfect sphere of radius R. Then the surface area of the region, enclosed by the 60°N latitude circle, that contains the north pole in its interior is ______.

Your answerChoose one option.

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Consider a unity negative feedback control system with forward path gain

as shown.

Diagram for Electronics and Communication Engineering question 37

The impulse response of the closed-loop system decays faster than

if ______.

Your answerChoose one option.

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A satellite attitude control system, as shown below, has a plant with transfer function

cascaded with a compensator

, where

and

are positive real constants.

Diagram for Electronics and Communication Engineering question 38

In order for the closed-loop system to have poles at

, the value of

must be ______.

Your answerChoose one option.

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A uniform plane wave with electric field

V/m is traveling in the air (relative permittivity,

and relative permeability,

) in the

direction (

is a positive constant,

is the unit vector along the

axis). It is incident normally on an ideal electric conductor (conductivity,

) at

. The position of the first null of the total magnetic field in the air (measured from

, in metres) is ______.

Your answerChoose one option.

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A 4-bit priority encoder has inputs

, and

in descending order of priority. The two-bit output

is generated as 00, 01, 10, and 11 corresponding to inputs

, and

, respectively. The Boolean expression of the output bit

is ______.

Your answerChoose one option.

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GATE ECE topic:signals-and-systems PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40