Electrical Engineering
GATE EE format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 181–190 of 437. Imported answers require independent review unless marked reviewed.
Question 36
Open questionEEMCQ2 marksNeeds review
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 
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Open questionEEMCQ2 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 
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Open questionEEMCQ2 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 
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Open questionEEMCQ2 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 
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Open questionEEMCQ2 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?Your answerChoose one option.
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Let
. Then
decreases in the intervalYour answerChoose one option.
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Consider a matrix
. The matrix
satisfies the equation
, where
and
are scalars and
is the identity matrix. Then
is equal toYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 43
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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, areYour answerChoose one option.
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Open questionEEMCQ2 marksNeeds review
The current gain (
) in the circuit with an ideal current amplifier given below is 
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Open questionEEMCQ2 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, isYour answerChoose one option.
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