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GATE201616
The transfer function of a system is $\frac{Y(s)}{R(s)}=\frac{s}{s+2}$. The steady state output $y(t)$ is $A \cos (2t + \phi)$ for the input $\cos (2t)$. The values of A and $\phi$ respectively are $\frac{1}{\sqrt{2}}$, 45° $\frac{1}{\sqrt{2}}$, +45° $\sqrt{2}$, 45° $\sqrt{2}$, +45°
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
laplacetransform
convolutionintegral
feedbacktransferfunction
0
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0
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2
GATE2016113
In cylindrical coordinate system, the potential produced by a uniform ring charge is given by $\phi = f(r, z)$ where $f$ is a continuous function of $r$ and $z$. Let $\vec{E}$ be the resulting electric field. Then the magnitude of $\nabla \times \vec{E}$ Increases with $r$ Is $0$. Is $3$. Decreases with $z$.
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Jan 30, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
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9.2k
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gate2016ee1
electromagnetictheory
magnetomotiveforce
ampere'slaw
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3
GATE2016112
A transistor circuit is given below. The Zener diode breakdown voltage is $5.3$ V as shown. Take base to emitter voltage drop to be $0.6$ V. The value of the current gain $\beta$ is _________.
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
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9.2k
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gate2016ee1
semiconductordevices
reversesaturationmode
voltagedivider
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0
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4
GATE2016111
Consider the following circuit which uses a $2$to$1$ multiplexer as shown in the figure below. The Boolean expression for output $F$ in terms of $A$ and $B$ is $A\bigoplus B$ $\bar{A+B}$ $A+B$ $\bar{A \bigoplus B}$
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Jan 30, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
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9.2k
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gate2016ee1
notgate
multiplexer
logiccircuits
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0
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5
GATE2016110
A temperature in the range of $−40$° C to $55$° C is to be measured with a resolution of $0.1$° C. The minimum number of $ADC$ bits required to get a matching dynamic range of the temperature sensor is $8$ $10$ $12$ $14$
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Jan 30, 2017
in
new
by
makhdoom ghaya
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9.2k
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gate2016ee1
analogtodigitalconverter
sampling
microcontroller
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6
GATE201611
The maximum value attained by the function. $f(x) = x(x1) (x2)$ in the interval $[1, 2]$ is ___________.
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Jan 30, 2017
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Differential Equations
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makhdoom ghaya
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9.2k
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gate2016ee1
maxima
minima
criticalpoint
closedinterval
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7
GATE201615
The value of the integral $\oint _{c}\frac{2z+5}{\left ( z\frac{1}{2} \right ) \left (z^{2} 4z+5 \right )}dz$ over the contour $z=1$, taken in the anticlockwise direction, would be $\frac{24 \pi i}{13}$ $\frac{48 \pi i}{13}$ $\frac{24}{13}$ $\frac{12}{13}$
asked
Jan 30, 2017
in
Differential Equations
by
makhdoom ghaya
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9.2k
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gate2016ee1
partialderivative
upperlimit
lowerlimit
0
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0
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8
GATE201614
A function $y(t)$, such that $y(0)=1$ and $y(1)=3e^{1}$, is a solution of the differential equation $\frac{d^{2}y}{dt^{2}}+2\frac{dy}{dt}+y=0$. Then $y(2)$ is $5e^{1}$ $5e^{2}$ $7e^{1}$ $7e^{2}$
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Jan 30, 2017
in
Differential Equations
by
makhdoom ghaya
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9.2k
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gate2016ee1
quadraticequation
repeatedroots
linearordinarydifferentialequation
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0
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9
GATE201613
The Laplace Transform of $f(t)=e^{2t} \sin (5t)(ut)$ is $\frac{5}{s^{2}4s+29}$ $\frac{5}{s^{2}+5}$ $\frac{s2}{s^{2}4s+29}$ $\frac{5}{s +5}$
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
unitstepfunction
fouriertransform
shiftingtheorems
0
votes
0
answers
10
GATE201612
Consider a $3 \times 3$ matrix with every element being equal to $1$. Its only nonzero eigenvalue is ________.
asked
Jan 30, 2017
in
Linear Algebra
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
characteristicequation
diagonalizingmatrices
invertiblematrix
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