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1
GATE2016240
At no load condition, a $3$phase, $50$ Hz, lossless power transmission line has sendingend and receivingend voltages of $400$ kV and $420$ kV respectively. Assuming the velocity of traveling wave to be the velocity of light, the length of the line, in km, is ____________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
losslesspowertransmissionline
travelingwave
numericalanswers
0
votes
0
answers
2
GATE2016241
The power consumption of an industry is $500$ kVA, at $0.8$ p.f. lagging. A synchronous motor is added to raise the power factor of the industry to unity. If the power intake of the motor is $100$ kW, the p.f. of the motor is ___________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
synchronousmotor
powerfactor
powerintake
numericalanswers
0
votes
0
answers
3
GATE2016242
The flux linkage $(\lambda)$ and current $(i)$ relation for an electromagnetic system is $\lambda=(\sqrt{i})/g$. When $i = 2A$ and $g$ (airgap length) = $10$ cm, the magnitude of mechanical force on the moving part, in $N$, is __________.
asked
Jan 30, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
flux
linkage
electromagneticsystem
numericalanswers
0
votes
0
answers
4
GATE2016243
The starting line current of a $415$ V, $3$phase, delta connected induction motor is $120$ A, when the rated voltage is applied to its stator winding. The starting line current at a reduced voltage of $110$ V, in ampere, is __________.
asked
Jan 30, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
linecurrent
inductionmotor
numericalanswers
0
votes
0
answers
5
GATE2016236
In the balanced $3$phase, $50$ Hz, circuit shown below, the value of inductance $(L)$ is $10$ mH. The value of the capacitance $(C)$ for which all the line currents are zero, in millifarads, is ___________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
balancedsystem
line
currents
numericalanswers
0
votes
0
answers
6
GATE2016237
In the circuit shown below, the initial capacitor voltage is $4 V$. Switch $S_{1}$ is closed at $t=0$. The charge (in $\mu C$) lost by the capacitor from $t=25 \mu s$ to $t=100 \mu s$ is _________.
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
capacitorvoltage
seriescircuit
numericalanswers
+1
vote
0
answers
7
GATE2016238
The single line diagram of a balanced power system is shown in the figure. The voltage magnitude at the generator internal bus is constant and $1.0$ p.u. The p.u. reactances of different components in the system are also shown in the figure ... can be transferred during the prefault condition to the maximum real power that can be transferred under the faulted condition is _________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
singlelinediagram
threephasefault
prefaultcondition
numericalanswers
0
votes
0
answers
8
GATE2016239
The open loop transfer function of a unity feedback control system is given by $G(s)=\frac{k(s+1)}{s(1+Ts)(1+2S)'}, K > 0, T > 0.$ The closed loop system will be stable if $0 < T < \frac{4(K+1)}{K1}$ $0 < K < \frac{4(T+2)}{T2}$ $0 < K < \frac{T+2}{T2}$ $0 < T < \frac{8(k+1)}{K1}$
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
transferfunction
unityfeedbackcontrolsystem
0
votes
0
answers
9
GATE2016233
Let the probability density function of a random variable, $X$, be given as: $f_{x}(x)=\frac{3}{2}e^{3x}u(x)+ae^{4x}u(x)$ where u(x) is the unit step function. Then the value of 'a' and prob $\left\{X \leq 0\right\}$, respectively are $2, \frac{1}{2}$ $4, \frac{1}{2}$ $2, \frac{1}{4}$ $4, \frac{1}{4}$
asked
Jan 30, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
randomvariable
probabilitydensity
unitstepfunction
0
votes
0
answers
10
GATE2016234
The driving point input impedance seen from the source $V_{s}$ of the circuit shown below, in $\Omega$, is ______.
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
meshanalysis
nodalanalysis
kvl
kcl
numericalanswers
0
votes
0
answers
11
GATE2016235
The $z$parameters of the two port network shown in the figure are $z_{11}=40\Omega, z_{12}=60\Omega, z_{21}=80\Omega$ and $z_{22}=100\Omega$. The average power delivered to $R_{L}=20\Omega$, in watts, is ________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
averagepower
networkanalysis
numericalanswers
0
votes
0
answers
12
GATE2016229
The value of the integral $2\int_{\infty}^{\infty} (\frac{\sin2\pi t}{\pi t}) \text{d}t$ is equal to $0$ $0.5$ $1$ $2$
asked
Jan 30, 2017
in
Calculus
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
theoremofintegral
definiteintegral
0
votes
0
answers
13
GATE2016230
Let $y(x)$ be the solution of the differential equation $\frac{d^{2}y}{dx^{2}}4\frac{dy}{dx}+4y=0$ with initial conditions $y(0)=0$ and $\frac{dy}{dx}\mid _{x=0}=1$ Then the value of $y(1)$ is _________.
asked
Jan 30, 2017
in
Differential Equations
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
quadraticequation
boundarylimits
numericalanswers
0
votes
0
answers
14
GATE2016231
The line integral of the vector field $F=5xz \hat{i}+(3x^{2}+2y)\hat{j}+x^{2}z\hat{k}$ along a path from $(0,0,0)$ to $(1,1,1)$ parametrized by $(t, t^{2}, t)$ is ________.
asked
Jan 30, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
electromagnetism
electromagnetictheory
field
numericalanswers
0
votes
0
answers
15
GATE2016232
Let $P=\begin{bmatrix} 3&1 \\ 1 & 3 \end{bmatrix}$ Consider the set $S$ of all vectors $\begin{pmatrix} x\\ y \end{pmatrix}$ such that $a^{2}+b^{2}=1$ ... An ellipse with major axis along $\begin{pmatrix} 1\\ 1 \end{pmatrix}$ An ellipse with minor axis along $\begin{pmatrix} 1\\ 1 \end{pmatrix}$
asked
Jan 30, 2017
in
Linear Algebra
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
circleequations
vectors
0
votes
0
answers
16
GATE2016225
Two electrodes, whose crosssectional view is shown in the figure below, are at the same potential. The maximum electric field will be at the point $A$ $B$ $C$ $D$
asked
Jan 30, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
electric field intensity
electric flux density
potentialgradient
0
votes
0
answers
17
GATE2016226
The Boolean expression $\overline{(a+\bar{b}+c+\bar{d})+(b+\bar{c})}$ simplifies to $1$ $\overline{a.b}$ $a.b$ $0$
asked
Jan 30, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
booleanalgebra
demorgan'stheorem
absorptiontheorem
0
votes
0
answers
18
GATE2016227
For the circuit shown below, taking the opamp as ideal, the output voltage $V_{out}$ in terms of the input voltages $V_{1}, V_{2}$ and $V_{3}$ is $1.8V_{1} + 7.2V_{2} V_{3}$ $2V_{1} + 8V_{2}  9V_{3}$ $7.2V_{1} + 1.8V_{2} V_{3}$ $8V_{1} + 2V_{2}  9V_{3}$
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
operationalamplifier
feedbackresistance
revese
0
votes
0
answers
19
GATE2016228
Let $x_{1}(t)\leftrightarrow X_{1}(\omega )$ and $x_{2}(t)\leftrightarrow X_{2}(\omega )$ be two signals whose Fourier Transforms are as shown in the figure below. In the figure, $h(t)=e^{2t}$ denotes the impulse response. For the system shown above, the minimum sampling ... $2B_{1}$ $2(B_{1}+B_{2})$ $4(B_{1}+B_{2})$ $\infty$
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
evenfunctions
impulseresponse
exponentialfunction
0
votes
0
answers
20
GATE2016221
For the network shown in the figure below, the frequency (in rad/s) at which the maximum phase lag occurs is, ___________.
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
voltageleads
currentleads
rcfilter
numericalanswers
0
votes
0
answers
21
GATE2016222
The direction of rotation of a singlephase capacitor run induction motor is reversed by Interchanging the terminals of the AC supply. Interchanging the terminals of the capacitor. Interchanging the terminals of the auxiliary winding. Interchanging the terminals of both the windings.
asked
Jan 30, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
pitchfactor
coilspan
statorslots
fluxperpole
0
votes
0
answers
22
GATE2016223
In the circuit shown below, the voltage and current sources are ideal. The voltage $(V_{out})$ across the current source, in volts, is $0$ $5$ $10$ $20$
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
superposition
thevenintheorem
nortontheorem
resistiveload
0
votes
0
answers
23
GATE2016224
The graph associated with an electrical network has $7$ branches and $5$ nodes. The number of independent $KCL$ equations and the number of independent $KVL$ equations, respectively, are $2$ and $5$ $5$ and $2$ $3$ and $4$ $4$ and $3$
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
kirchhoff'svoltagelaw
nodalanalysis
meshanalysis
0
votes
0
answers
24
GATE2016217
A $50$ MVA, $10$ kV, $50$ Hz, starconnected, unloaded threephase alternator has a synchronous reactance of $1$ p.u. and a subtransient reactance of $0.2$ p.u. If a $3$phase short circuit occurs close to the generator terminals, the ratio of initial and final values of the sinusoidal component of the short circuit current is ________.
asked
Jan 30, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
reactivepowersupplier
fieldemf
electricalangle
mechanicalangle
numericalanswers
0
votes
0
answers
25
GATE2016218
Consider a linear timeinvariant system with transfer function $H(s)=\frac{1}{(s+1)}$ If the input is $\cos(t)$ and the steady state output is $A \cos(t+\alpha)$ then the value of $A$ is _________.
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
linear
translationinvariant
convolution
impulseresponse
numericalanswers
0
votes
0
answers
26
GATE2016219
A threephase diode bridge rectifier is feeding a constant $DC$ current of $100 A$ to a highly inductive load. If threephase, $415 V, 50 Hz AC$ source is supplying to this bridge rectifier then the rms value of the current in each diode, in ampere, is ___________.
asked
Jan 30, 2017
in
Electrical and Electronic Measurements
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
linecurrent
waveform
triplenharmonics
magnetizationinductance
numericalanswers
0
votes
0
answers
27
GATE2016220
A buckboost $DCDC$ converter, shown in the figure below, is used to convert $24 V$ battery voltage to $36 V DC$ voltage to feed a load of $72 W$. It is operated at $20 kHz$ with an inductor of $2 mH$ and output capacitor of $1000 \mu F$. All devices are considered to be ideal. The peak voltage across the solidstate switch $(S)$, in volt, is _______.
asked
Jan 30, 2017
in
Electrical and Electronic Measurements
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
dutycycle
highfrequencyswitch
bidirectionalswitch
reversediode
numericalanswers
0
votes
0
answers
28
GATE2016213
A power system with two generators is shown in the figure below. The system (generators, buses and transmission lines) is protected by six overcurrent relays $R_{1}$ to $R_{6}$. Assuming a mix of directional and nondirectional relays at appropriate locations, the remote backup relays for $R_{4}$ are $R_{1}, R_{2}$ $R_{2}, R_{6}$ $R_{2}, R_{5}$ $R_{1}, R_{6}$
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
powersystemprotection
magnitudecomparisonrelays
zoneofprotection
pickupcurrent
0
votes
0
answers
29
GATE2016214
A power system has $100$ buses including $10$ generator buses. For the load flow analysis using NewtonRaphson method in polar coordinates, the size of the Jacobian is $189 \times 189$ $100 \times 100$ $90 \times 90$ $180 \times 180$
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
taylor'stheorem
busadmittancematrix
pqbuses
pvbuses
accelerationfactor
0
votes
0
answers
30
GATE2016215
The inductance and capacitance of a $400$ kV, threephase, $50$ Hz lossless transmission line are $1.6$ mH/km/phase and $10$ nF/km/phase respectively. The sending end voltage is maintained at $400$ kV. To maintain a voltage of $400$ kV at the receiving end, when the line is delivering $300$ MW load, the shunt compensation required is Capacitive Inductive Resistive Zero
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
surgeimpedence
steadystateoperation
equivalentcircuit
stabilitylimits
0
votes
0
answers
31
GATE2016216
A parallel plate capacitor filled with two dielectrics is shown in the figure below. If the electric field in the region $A$ is $4 kV/cm$, the electric field in the region $B$, in $kV/cm$, is $1$ $2$ $4$ $16$
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
electromagnetism
capacitance
relativepermitivity
0
votes
0
answers
32
GATE201629
The value of the line integral $\int_{c}^{} (2xy^{2}dx+2x^{2}y dy+dz)$ along a path joining the origin $(0, 0, 0)$ and the point $(1, 1, 1)$ is $0$ $2$ $4$ $6$
asked
Jan 30, 2017
in
Calculus
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
compositefunctions
additivity
space
riemannsum
0
votes
0
answers
33
GATE2016210
Let $f(x)$ be a real, periodic function satisfying $f(x)=f(x)$. The general form of its Fourier series representation would be $f(x)=a_{0}+\sum_{k=1}^{\infty}a_{k}\cos(kx)$ $f(x)=\sum_{k=1}^{\infty}b_{k}\sin(kx)$ $f(x)=a_{0}+\sum_{k=1}^{\infty}a_{2k}\cos(kx)$ $f(x)=\sum_{k=0}^{\infty}a_{2k+1}\sin(2k+1)x$
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
fourierseriescoefficient
harmonics
dirichletconditions
0
votes
0
answers
34
GATE2016211
A resistance and a coil are connected in series and supplied from a single phase, $100 V, 50 Hz$ ac source as shown in the figure below. The rms values of plausible voltages across the resistance $(V_{R})$ and coil $(V_{C})$ respectively, in volts, are $65, 35$ $50, 50$ $60, 90$ $60, 80$
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
closedloop
seriescurrent
voltageblocker
sinusoidalsource
0
votes
0
answers
35
GATE2016212
The voltage $(V)$ and current $(A)$ across a load are as follows. $v(t)=100\sin$ (ωt), $i(t)=10\sin(ωt60°) + 2\sin(3ωt)+5\sin(5ωt)$ The average power consumed by the load, in $W$, is _________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
instantaneousvoltagesource
instantaneouscurrentsource
instantaneouspower
numericalanswers
0
votes
0
answers
36
GATE201625
Suppose the maximum frequency in a bandlimited signal $x(t)$ is $5 kHz$. Then, the maximum frequency in $x(t)\cos(2000\pi t)$, in $kHz$, is ________.
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
highpassfilter
lowpassfilter
continuoustimesignal
numericalanswers
0
votes
0
answers
37
GATE201626
Consider the function $f(z)=z+z^{*}$ where $z$ is a complex variable and $z^{*}$ denotes its complex conjugate. Which one of the following is TRUE? $f(z)$ is both continuous and analytic $f(z)$ is continuous but not analytic $f(z)$ is not continuous but is analytic $f(z)$ is neither continuous nor analytic
asked
Jan 30, 2017
in
Numerical Methods
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
complexplane
demoivre'sformula
0
votes
0
answers
38
GATE201627
A $3 \times 3$ matrix $P$ is such that, $P^{3}=P$. Then the eigenvalues of $P$ ܲ are $1, 1, −1$ $1, 0.5 + ݆j0.866, 0.5 − ݆j0.866$ $1,−0.5 + ݆j0.866, −0.5 − ݆j0.866$ $0, 1, −1$
asked
Jan 30, 2017
in
Linear Algebra
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
eigenspace
nontrivialsolution
determinant
0
votes
0
answers
39
GATE201628
The solution of the differential equation, for $t > 0, y"(t)+2y'(t)+y(t)=0$ with initial conditions $y(0)=0$ and $y'(0)=1$, is ($u(t)$ denotes the unit step function), $te^{t}u(t)$ $(e^{t}te^{t})u(t)$ $(e^{t}+te^{t})u(t)$ $e^{t}u(t)$
asked
Jan 30, 2017
in
Differential Equations
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
higherorderdifferentialequations
euler'sequation
initialboundaryconditions
0
votes
0
answers
40
GATE201621
The output expression for the Karnaugh map shown below is $A+\bar{B}$ $A+\bar{C}$ $\bar{A}+\bar{C}$ $\bar{A}+C$
asked
Jan 30, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
truthtable
booleanexpressions
pictorialmethod
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