Questions 181–190 of 437. Imported answers require independent review unless marked reviewed.

Topic practice 437 questionsPage 19 of 44

Question 36

Open question
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The output impedance of a non-ideal operational amplifier is denoted by

. The variation in the magnitude of

with increasing frequency,

, in the circuit shown below, is best represented by
Diagram for Electrical Engineering question 36

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Question 37

Open question
EEMCQ2 marksNeeds review
An LTI system is shown in the figure where

The steady state output of the system, to the input

, is given as

. The values of ‘

’ and ‘

’ will be
Diagram for Electrical Engineering question 37

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Question 38

Open question
EEMCQ2 marksNeeds review
The open loop transfer function of a unity gain negative feedback system is given as

. The Nyquist contour in the s-plane encloses the entire right half plane and a small neighbourhood around the origin in the left half plane, as shown in the figure below. The number of encirclements of the point (

) by the Nyquist plot of

, corresponding to the Nyquist contour, is denoted as

. Then

equals to
Diagram for Electrical Engineering question 38

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Question 39

Open question
EEMCQ2 marksNeeds review
The damping ratio and undamped natural frequency of a closed loop system as shown in the figure, are denoted as

and

, respectively. The values of

and

are
Diagram for Electrical Engineering question 39

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Question 40

Open question
EEMCQ2 marksNeeds review

denotes the exponential of a square matrix

. Suppose

is an eigenvalue and

is the corresponding eigen-vector of matrix

. Consider the following two statements: Statement 1:

is an eigenvalue of

. Statement 2:

is an eigen-vector of

. Which one of the following options is correct?
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Question 41

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Let

. Then

decreases in the interval
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Question 42

Open question
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Consider a matrix

. The matrix

satisfies the equation

, where

and

are scalars and

is the identity matrix. Then

is equal to
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Question 43

Open question
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The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given by
Plant 1:

Plant 2:

where

and

are power generated by plant 1 and plant 2, respectively, in MW and

is constant. The incremental cost of power (

) is 8 rupees per MWh. The two thermal power plants together meet a total power demand of 550 MW. The optimal generation of plant 1 and plant 2 in MW, respectively, are
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Question 44

Open question
EEMCQ2 marksNeeds review
The current gain (

) in the circuit with an ideal current amplifier given below is
Diagram for Electrical Engineering question 44

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Question 45

Open question
EEMCQ2 marksNeeds review
If the magnetic field intensity (

) in a conducting region is given by the expression,

A/m. The magnitude of the current density, in A/m

, at

m,

m, and

m, is
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