Electronics and Communication Engineering
GATE ECE topic:electronics PYQs
Build your understanding with focused practice from past exam papers.
Questions 271–280 of 715. Imported answers require independent review unless marked reviewed.
Question 11
Open questionECMCQ1 markNeeds review
Consider the two-dimensional vector field
, where
and
denote the unit vectors along the
-axis and the
-axis, respectively. A contour
in the
-
plane, as shown in the figure, is composed of two horizontal lines connected at the two ends by semicircular arcs of unit radius. The contour is traversed in the counter-clockwise sense. The value of the closed path integral
is ________.

Your answerChoose one option.
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Open questionECMCQ1 markNeeds review
Consider a system of linear equations
, where
This system of equations admits ________.Your answerChoose one option.
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Open questionECMCQ1 markNeeds review
The current
in the circuit shown is ________. 
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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 questionECMCQ1 markNeeds review
Consider the circuit shown in the figure. The current
flowing through the
resistor is ________. 
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Open questionECMCQ1 markNeeds review
The Fourier transform
of the signal
is ________.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 16
Open questionECMCQ1 markNeeds review
Consider a long rectangular bar of direct bandgap
-type semiconductor. The equilibrium hole density is
and the intrinsic carrier concentration is
. Electron and hole diffusion lengths are
and
, respectively.The left side of the bar (
) is uniformly illuminated with a laser having photon energy greater than the bandgap of the semiconductor. Excess electron-hole pairs are generated ONLY at
because of the laser. The steady state electron density at
is
due to laser illumination. Under these conditions and ignoring electric field, the closest approximation (among the given options) of the steady state electron density at
is _________.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 17
Open questionECMCQ1 markNeeds review
In a non-degenerate bulk semiconductor with electron density
, the value of
, where
and
denote the bottom of the conduction band energy and electron Fermi level energy, respectively. Assume thermal voltage as
and the intrinsic carrier concentration is
. For
, the closest approximation of the value of
, among the given options, is _________.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 18
Open questionECMCQ1 markNeeds review
Consider the CMOS circuit shown in the figure (substrates are connected to their respective sources). The gate width (
) to gate length (
) ratios (
) of the transistors are as shown. Both the transistors have the same gate oxide capacitance per unit area. For the
MOSFET, the threshold voltage is
and the mobility of holes is
. For the
MOSFET, the threshold voltage is
and the mobility of electrons is
. The steady state output voltage
is _________. 
Your answerChoose one option.
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Open questionECMCQ1 markNeeds review
Consider the 2-bit multiplexer (MUX) shown in the figure. For OUTPUT to be the XOR of C and D, the values for
,
,
, and
are ____________. 
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Open questionECMCQ1 markNeeds review
The ideal long channel
MOSFET and
MOSFET devices shown in the circuits have threshold voltages of 1 V and
V, respectively. The MOSFET substrates are connected to their respective sources. Ignore leakage currents and assume that the capacitors are initially discharged. For the applied voltages as shown, the steady state voltages are ________________. 
Your answerChoose one option.
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