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GATE2016115
$R_{A}$ and $R_{B}$ are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the following statements is TRUE? $R_{A}=R_{B}$ $R_{A}=R_{B}=0$ $R_{A}< R_{B}$ $R_{B}= R_{A} /(1+R_{A})$
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
circuitreduction
seriescombination
parallelcombination
0
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0
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2
GATE2016116
In a constant $V/f$ induction motor drive, the slip at the maximum torque Is directly proportional to the synchronous speed. Remains constant with respect to the synchronous speed. Has an inverse relation with the synchronous speed. Has no relation with the synchronous speed.
asked
Jan 30, 2017
in
Electrical Machines
by
makhdoom ghaya
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9.2k
points)
gate2016ee1
slipspeed
synchronousspeed
0
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3
GATE2016117
In the portion of a circuit shown, if the heat generated in $5 \Omega$ resistance is $10$ calories per second, then heat generated by the $4 \Omega$ resistance, in calories per second, is ________.
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
parallelcombination
seriescombination
currentdividercircuit
0
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0
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4
GATE2016118
In the given circuit, the current supplied by the battery, in ampere, is ________.
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
voltagedivider
dependentcurrentsource
superposition
0
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0
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5
GATE2016119
In a $100$ bus power system, there are $10$ generators. In a particular iteration of Newton Raphson load flow technique (in polar coordinates), two of the $PV$ buses are converted to $PQ$ type. In this iteration, The number of ... voltage magnitudes decreases by two. The number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes decreases by two.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
powersystemoperation
iterations
jacobimatrix
0
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0
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6
GATE201611
The maximum value attained by the function. $f(x) = x(x1) (x2)$ in the interval $[1, 2]$ is ___________.
asked
Jan 30, 2017
in
Differential Equations
by
makhdoom ghaya
(
9.2k
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gate2016ee1
maxima
minima
criticalpoint
closedinterval
0
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7
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
0
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0
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8
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
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9
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 $5e^{1}$ $5e^{2}$ $7e^{1}$ $7e^{2}$
asked
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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10
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
(
9.2k
points)
gate2016ee1
partialderivative
upperlimit
lowerlimit
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