Electronics and Communication Engineering
GATE ECE topic:electronics PYQs
Build your understanding with focused practice from past exam papers.
Questions 181–190 of 715. Imported answers require independent review unless marked reviewed.
Question 51
Open questionECMCQ2 marksNeeds review
In the circuit shown below, the transistors
and
are biased in saturation. Their small signal transconductances are
and
respectively. Neglect body effect, channel length modulation and intrinsic device capacitances.

Assuming that capacitor
is a short circuit for AC analysis, the exact magnitude of small signal voltage gain
is ______.Your answerChoose one option.
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Open questionECMSQ2 marksNeeds review
Which of the following statements is/are true for a BJT with respect to its DC current gain
?Your answerSelect all correct options. You can choose more than one.
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Open questionECMSQ2 marksNeeds review
Consider a system
represented in state space as
. Which of the state space representations given below has/have the same transfer function as that of
?Your answerSelect all correct options. You can choose more than one.
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Open questionECMSQ2 marksNeeds review
Let
,
, and
be functions of
. Suppose that for every given pair of points
and
in space, the line integral
evaluates to the same value along any path
that starts at
and ends at
. Then which of the following is/are true?Your answerSelect all correct options. You can choose more than one.
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Open questionECMSQ2 marksNeeds review
Consider the matrix
, where
is a positive real number. Which of the following vectors is/are eigenvector(s) of this matrix?Your answerSelect all correct options. You can choose more than one.
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Open questionECMSQ2 marksNeeds review
The radian frequency value(s) for which the discrete time sinusoidal signal
has a period of 40 is/are _____.Your answerSelect all correct options. You can choose more than one.
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Open questionECNAT2 marksNeeds review
Let
be a random process, where amplitude
and phase
are independent of each other, and are uniformly distributed in the intervals
and
, respectively.
is fed to an 8-bit uniform mid-rise type quantizer. Given that the autocorrelation of
is
, the signal to quantization noise ratio (in dB, rounded off to two decimal places) at the output of the quantizer is __________.Log in to check the answer
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Open questionECNAT2 marksNeeds review
A lossless transmission line with characteristic impedance
is terminated with an unknown load. The magnitude of the reflection co-efficient is
. As one moves towards the generator from the load, the maximum value of the input impedance magnitude looking towards the load (in
) is ______.Log in to check the answer
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Open questionECNAT2 marksNeeds review
The relation between any N-length sequence
and its corresponding N-point discrete Fourier transform
is defined as
Another sequence
is formed as below
For the sequence
, the value of
is ______.Log in to check the answer
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Open questionECNAT2 marksNeeds review
For the two port network shown below, the value of the
parameter (in Siemens) is ______.

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