Electrical Engineering
GATE EE concept:transfer-function PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 29. Imported answers require independent review unless marked reviewed.
Question 11
Open questionEEMCQ1 markNeeds review
For the closed-loop system shown, the transfer function
is 
Your answerChoose one option.
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The Bode magnitude plot for the transfer function
of the circuit is as shown. The value of R is ________ Ω. (Round off to 2 decimal places.) 
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Open questionEENAT2 marksNeeds review
Consider a closed-loop system as shown.
is the plant transfer function and
is the compensator. For a unit-step input, the output response has damped oscillations. The damped natural frequency is ______________ rad/s. (Round off to 2 decimal places.) 
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Consider a negative unity feedback system with forward path transfer function
, where
are positive real numbers. For a Nyquist path enclosing the entire imaginary axis and right half of the
-plane in the clockwise direction, the Nyquist plot of
encircles the origin of
-plane once in the clockwise direction and never passes through this origin for a certain value of
. Then, the number of poles of
lying in the open right half of the
-plane is ________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 36
Open questionEEMCQ2 marksNeeds review
Consider a negative unity feedback system with the forward path transfer function
, where
is a positive real number. The value of
for which the system will have some of its poles on the imaginary axis is ________.Your answerChoose one option.
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The causal realization of a system transfer function
having poles at
,
and zeroes at
,
will beYour answerChoose one option.
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A stable real linear time-invariant system with single pole at
, has a transfer function
with a dc gain of 5. The smallest positive frequency, in rad/s, at unity gain is closest to:Your 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 6
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A system transfer function is
. If
, and all other coefficients are positive, the transfer function represents aYour 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 14
Open questionEEMCQ1 markNeeds review
The open loop transfer function of a unity feedback system is given by
. In
plane, the Nyquist plot of
passes through the negative real axis at the pointYour answerChoose one option.
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Open questionEEMCQ2 marksNeeds review
The asymptotic Bode magnitude plot of a minimum phase transfer function
is shown below. 
Consider the following two statements:
Statement I: Transfer function
has three poles and one zero.
Statement II: At very high frequency (
), the phase angle
.
Which one of the following options is correct?Your answerChoose one option.
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