Electronics and Communication Engineering
GATE ECE format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 61–70 of 239. Imported answers require independent review unless marked reviewed.
Question 32
Open questionECNAT1 markNeeds review
A simple closed path
in the complex plane is shown in the figure. If
where
, then the value of
is ______ (rounded off to two decimal places). 
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Open questionECNAT1 markNeeds review
Let
and
, where
denotes the unit step function.If
denotes the convolution of
and
, then
________ (rounded off to one decimal place).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 34
Open questionECNAT1 markNeeds review
An ideal MOS capacitor (
-type semiconductor) is shown in the figure. The MOS capacitor is under strong inversion with
V. The corresponding inversion charge density (
) is 2.2
C/cm
. Assume oxide capacitance per unit area as
F/cm
. For
V, the value of
is _____
C/cm
(rounded off to one decimal place). 
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Open questionECNAT1 markNeeds review
A symbol stream contains alternate QPSK and 16-QAM symbols. If symbols from this stream are transmitted at the rate of 1 mega-symbols per second, the raw (uncoded) data rate is ______ mega-bits per second (rounded off to one decimal place).
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Open questionECNAT2 marksNeeds review
The value of the integral
where
is the shaded triangular region shown in the diagram, is _____ (rounded off to the nearest integer). 
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Open questionECNAT2 marksNeeds review
A linear 2-port network is shown in Fig. (a). An ideal DC voltage source of 10 V is connected across Port 1. A variable resistance
is connected across Port 2. As
is varied, the measured voltage and current at Port 2 is shown in Fig. (b) as a
versus
plot. Note that for
V,
mA, and for
V,
mA.When the variable resistance
at Port 2 is replaced by the load shown in Fig. (c), the current
is ______ mA (rounded off to one decimal place). 
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Open questionECNAT2 marksNeeds review
For a vector
, the 8-point discrete Fourier transform (DFT) is denoted by
, where
Here,
. If
and
, then the value of
is ________ (rounded off to one decimal place).Log in to check the answer
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Open questionECNAT2 marksNeeds review
A
-type semiconductor with zero electric field is under illumination (low level injection) in steady state condition. Excess minority carrier density is zero at
, where
cm is the diffusion length for electrons. Assume electronic charge,
C. The profiles of photo-generation rate of carriers and the recombination rate of excess minority carriers (
) are shown. Under these conditions, the magnitude of the current density due to the photo-generated electrons at
is ________ mA/cm
(rounded off to two decimal places). 
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Open questionECNAT2 marksNeeds review
A circuit and the characteristics of the diode (D) in it are shown. The ratio of the minimum to the maximum small signal voltage gain
is ________ (rounded off to two decimal places). 
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Open questionECNAT2 marksNeeds review
Consider the circuit shown with an ideal OPAMP. The output voltage
is ________ V (rounded off to two decimal places). 
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