GATE EE kind:question PYQs & Answers — Page 65

Questions 641–650 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 65 of 72

The eigenvalues of the matrix given below are

Your answerChoose one option.

(0, -1, -3)

(0, -2, -3)

(0, 2, 3)

(0, 1, 3)

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Two passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port 1.

Given

and

are the generalized circuit constants. If the Thevenin equivalent circuit at port 3 consists of a voltage source

and an impedance

, connected in series, then

Diagram for Electrical Engineering question 29

Your answerChoose one option.

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For the balanced Y-Y connected 3-phase circuit shown in the figure below, the line-line voltage is 208 V rms and the total power absorbed by the load is 432 W at a power factor of 0.6 leading.

The approximate value of the impedance

Your answerChoose one option.

33 ∠ −53.1° Ω

60 ∠ 53.1° Ω

60 ∠ −53.1° Ω

180 ∠ −53.1° Ω

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Let a causal LTI system be characterized by the following differential equation, with initial rest condition

where

and

are the input and output respectively. The impulse response of the system is (u(t) is the unit step function)

Your answerChoose one option.

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In the circuit shown below, the value of capacitor C required for maximum power to be transferred to the load is

Diagram for Electrical Engineering question 30

Your answerChoose one option.

1 nF

1 μF

1 mF

10 mF

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Let the signal

be passed through an LTI system with frequency response

, as given in the figure below. The Fourier series representation of the output is given as

Diagram for Electrical Engineering question 31

Your answerChoose one option.

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The output

of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is

Your answerChoose one option.

1000 samples/s

1500 samples/s

2000 samples/s

3000 samples/s

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In the system whose signal flow graph is shown in the figure,

and

are inputs. The transfer function

Diagram for Electrical Engineering question 32

Your answerChoose one option.

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A cascade system having the impulse responses

and

is shown in the figure below, where symbol ↑ denotes the time origin.

The input sequence

for which the cascade system produces an output sequence

Your answerChoose one option.

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The transfer function of the system

whose state-space equations are given below is:

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GATE EE kind:question PYQs

Question 28

Question 29

Question 29

Question 30

Question 30

Question 31

Question 31

Question 32

Question 32

Question 33