Electrical Engineering
GATE EE topic:electrical-engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 161–170 of 715. Imported answers require independent review unless marked reviewed.
Question 31
Open questionEENAT1 markNeeds review
Consider the complex function
. The coefficient of
in the Taylor series expansion of
about the origin is ______ (rounded off to 1 decimal place).Log in to check the answer
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Open questionEENAT1 markNeeds review
The sum of the eigenvalues of the matrix
is ______ (rounded off to the nearest integer).Log in to check the answer
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Open questionEENAT1 markNeeds review
Let
be the Fourier transform of the signal
The value of the derivative of
at
is ______ (rounded off to 1 decimal place).Log in to check the answer
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Open questionEENAT1 markNeeds review
The incremental cost curves of two generators (Gen A and Gen B) in a plant supplying a common load are shown in the figure. If the incremental cost of supplying the common load is Rs. 7400 per MWh, then the common load in MW is ______ (rounded off to the nearest integer).
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Open questionEENAT1 markNeeds review
A forced commutated thyristorized step-down chopper is shown in the figure. Neglect the ON-state drop across the power devices. Assume that the capacitor is initially charged to 50 V with the polarity shown in the figure. The load current (
) can be assumed to be constant at 10 A. Initially,
is ON and
is OFF. The turn-off time available to
in microseconds, when
is triggered, is _________ (rounded off to the nearest integer). 
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Open questionEEMCQ2 marksNeeds review
Consider a vector
, where
represent unit vectors along the coordinate axes
respectively. The directional derivative of the function
at the point
in the direction of
isYour answerChoose one option.
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Open questionEEMCQ2 marksNeeds review
The input
and the output
of a system are related as
The system is
Your answerChoose one option.
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Open questionEEMCQ2 marksNeeds review
Consider the discrete-time systems
and
defined as follows:
Which one of the following statements is true?
Your answerChoose one option.
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Open questionEEMCQ2 marksNeeds review
If the Z-transform of a finite-duration discrete-time signal
is
, then the Z-transform of the signal
isYour answerChoose one option.
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Open questionEEMCQ2 marksNeeds review
A 3-phase, 11 kV, 10 MVA synchronous generator is connected to an inductive load of power factor
via a lossless line with a per-phase inductive reactance of 5
. The per-phase synchronous reactance of the generator is 30
with negligible armature resistance. If the generator is producing the rated current at the rated voltage, then the power factor at the terminal of the generator isYour answerChoose one option.
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