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1
GATE2016150
A singlephase fullbridge voltage source inverter $(VSI)$ is fed from a $300 V$ battery. A pulse of $120^\circ$ duration is used to trigger the appropriate devices in each halfcycle. The rms value of the fundamental component of the output voltage, in volts, is $234$ $245$ $300$ $331$
edited
Oct 3
in
Electrical Circuits
by
jothee
(
1.4k
points)
gate2016ee1
powerelectronicsinverters
pulsewidthmodulationininverters
halfbridgeinverters
0
votes
0
answers
2
GATE2016151
A singlephase transmission line has two conductors each of $10$ mm radius. These are fixed at a centertocenter distance of $1$ m in a horizontal plane. This is now converted to a threephase transmission line by introducing a third conductor of the same ... $D$, in meters, is _________.
edited
Oct 3
in
Power Systems
by
jothee
(
1.4k
points)
gate2016ee1
transmissionsystemdesign
transmissionparameters
transposition
numericalanswers
0
votes
0
answers
3
GATE2016143
A singlephase thyristorbridge rectifier is fed from a $230 V, 50 Hz$, singlephase $AC$ mains. If it is delivering a constant $DC$ current of $10 A$, at firing angle of $30^\circ$, then value of the power factor at $AC$ mains is $0.87$ $0.9$ $0.78$ $0.45$
edited
Oct 3
in
new
by
jothee
(
1.4k
points)
gate2016ee1
actodcconversion
magnitudecontrol
phasecontrol
0
votes
0
answers
4
GATE2016142
If the star side of the stardelta transformer shown in the figure is excited by a negative sequence voltage, then $V_{AB}$ leads $V_{ab}$ by $60^\circ$ $V_{AB}$ lags $V_{ab}$ by $60^\circ$ $V_{AB}$ leads $V_{ab}$ by $30^\circ$ $V_{AB}$ lags $V_{ab}$ by $30^\circ$
edited
Oct 3
in
Power Systems
by
jothee
(
1.4k
points)
gate2016ee1
sequencevoltages
startodeltaconversion
120phaseshift
0
votes
0
answers
5
GATE2016137
A $2$bit flash Analog to Digital Converter $(ADC)$ is given below. The input is $0 \leq V_{IN} \leq 3$ Volts. The expression for the $LSB$ of the output $B_{o}$ as a Boolean function of $X_{2}, X_{1}$, and $X_{0}$ ... $X_{0}\left[X_{2} \oplus X_{1}\right] \\$ $\overline{X_{0}}\left[X_{2} \oplus X_{1}\right]$
edited
Oct 3
in
Analog and Digital Electronics
by
jothee
(
1.4k
points)
gate2016ee1
leastsignificantbit
booleanexpression
operationalamplifier
0
votes
0
answers
6
GATE2016141
A $30 MVA$, $3$phase, $50 Hz$, $13.8 kV$, starconnected synchronous generator has positive, negative and zero sequence reactances, $15\%$, $15\%$ and $5\%$ respectively. A reactance $(X_{n})$ is connected between the neutral of the generator and ground. A ... $X_{n}$ (in p.u.) that will limit the positive sequence generator current to $4270 \: A$ is ________.
edited
Oct 3
in
Power Systems
by
jothee
(
1.4k
points)
gate2016ee1
slip
powersystemfaults
sequencenetworks
numericalanswers
0
votes
0
answers
7
GATE2016133
Given the following polynomial equation $s^{3}+5.5 s^{2}+8.5s+3=0$ the number of roots of the polynomial, which have real parts strictly less than $−1$, is ________.
edited
Oct 3
in
Linear Algebra
by
jothee
(
1.4k
points)
gate2016ee1
multiplicity
degreeofpolynomial
numericalanswers
0
votes
0
answers
8
GATE2016131
Consider the following statespace representation of a linear timeinvariant system. $x(t)=\begin{pmatrix} 1&0 \\ 0&2 \end{pmatrix} x(t), y(t)= c^{T} x(t), c =\begin{pmatrix} 1& \\ 1& \end{pmatrix} \text {and } x(0)= \begin{pmatrix} 1& \\ 1& \end{pmatrix}$ The value of $y(t)$ for $t =\log_{e} 2$ is __________.
edited
Oct 3
in
Control Systems
by
jothee
(
1.4k
points)
gate2016ee1
transformation
statespaceequations
correlation
numericalanswers
0
votes
0
answers
9
GATE2016132
Loop transfer function of a feedback system is $G(s)H(s)=\dfrac{s+3}{s^{2}(s3)}$. Take the Nyquist contour in the clockwise direction. Then, the Nyquist plot of $G(s) H (s)$ encircles $1 + j0$ Once in clockwise direction Twice in clockwise direction Once in anticlockwise direction Twice in anticlockwise direction
edited
Oct 3
in
Control Systems
by
jothee
(
1.4k
points)
gate2016ee1
closedloopsystem
nyquiststability
mapping
0
votes
0
answers
10
GATE2016130
Consider the following asymptotic Bode magnitude plot ($\omega$ is in rad/s). Which one of the following transfer functions is best represented by the above Bode magnitude plot? $\dfrac{2s}{(1+0.5s)(1+0.25s)^{2}} \\$ $\dfrac{4(1+0.5s)}{s(1+0.25s)} \\$ $\dfrac{2s}{(1+2s)(1+4s)} \\$ $\dfrac{4s}{(1+2s)(1+4s)^{2}}$
edited
Oct 3
in
Control Systems
by
jothee
(
1.4k
points)
gate2016ee1
logarithmicplot
gaink
integralandderivativefactor
0
votes
0
answers
11
GATE2016127
Let $S=\sum_{n=0}^{\infty} n\alpha^{n}$ where $\mid \alpha \mid < 1$. The value of $\alpha$ in the range $0 < \alpha < 1$, such that $S=2 \alpha$ is _________.
edited
Oct 3
in
Signals and Systems
by
jothee
(
1.4k
points)
gate2016ee1
fouriertransform
samplingtheorem
ztransform
numericalanswers
0
votes
0
answers
12
GATE2016125
If an ideal transformer has an inductive load element at port $2$ as shown in the figure below, the equivalent inductance at port $1$ is $nL \\$ $n^{2}L \\$ $\dfrac{n}{L} \\$ $\dfrac{n^{2}}{L}$
edited
Oct 3
in
Electrical Machines
by
jothee
(
1.4k
points)
gate2016ee1
turnratio
inductiveload
coil
0
votes
0
answers
13
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 $\overrightarrow{E}$ be the resulting electric field. Then the magnitude of $\nabla \times \overrightarrow{E}$ Increases with $r$ Is $0$. Is $3$. Decreases with $z$.
edited
Oct 3
in
Electromagnetic Fields
by
jothee
(
1.4k
points)
gate2016ee1
electromagnetictheory
magnetomotiveforce
ampereslaw
0
votes
0
answers
14
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 $A\oplus B$ $\overline{A+B}$ $A+B$ $\overline{A \oplus B}$
edited
Oct 3
in
Analog and Digital Electronics
by
jothee
(
1.4k
points)
gate2016ee1
notgate
multiplexer
logiccircuits
0
votes
0
answers
15
GATE2016110
A temperature in the range of $−40 ^\circ C$ to $55^\circ C$ is to be measured with a resolution of $0.1^\circ C$. The minimum number of $ADC$ bits required to get a matching dynamic range of the temperature sensor is $8$ $10$ $12$ $14$
edited
Oct 3
in
new
by
jothee
(
1.4k
points)
gate2016ee1
analogtodigitalconverter
sampling
microcontroller
0
votes
0
answers
16
GATE201619
The value of $\int_{\infty}^{+\infty} e^{t} \delta (2t2){d}t$, where $\delta (t)$ is the Dirac delta function, is $\dfrac{1}{2e} \\$ $\dfrac{2}{e} \\$ $\dfrac{1}{e^{2}} \\$ $\dfrac{1}{2e^{2}}$
edited
Oct 3
in
Calculus
by
jothee
(
1.4k
points)
gate2016ee1
pauldirac
operationalcalculus
weaklimit
0
votes
0
answers
17
GATE201617
The phase crossover frequency of the transfer function $G(s)=\dfrac{100}{(s+1)^{3}}$ in rad/s is $\sqrt{3} \\$ $\dfrac{1}{\sqrt{3}} \\$ $3 \\$ $3\sqrt{3}$
edited
Oct 3
in
Control Systems
by
jothee
(
1.4k
points)
gate2016ee1
mathematicalrepresentation
crossoverfrequency
180phaseshift
bodestabilitycriteria
0
votes
0
answers
18
GATE201616
The transfer function of a system is $\dfrac{Y(s)}{R(s)}=\dfrac{s}{s+2}$. The steady state output $y(t)$ is $A \cos (2t + \phi)$ for the input $\cos (2t)$. The values of $A$ and $\phi$ respectively are $\dfrac{1}{\sqrt{2}}, 45^\circ$ $\dfrac{1}{\sqrt{2}}, +45^\circ$ $\sqrt{2}, 45^\circ$ $\sqrt{2}, +45^\circ$
edited
Oct 3
in
Control Systems
by
jothee
(
1.4k
points)
gate2016ee1
laplacetransform
convolutionintegral
feedbacktransferfunction
0
votes
0
answers
19
GATE201615
The value of the integral $\oint _{c}\dfrac{2z+5}{\left ( z\dfrac{1}{2} \right ) \left (z^{2} 4z+5 \right )}dz$ over the contour $\mid z \mid=1$, taken in the anticlockwise direction, would be $\dfrac{24 \pi i}{13} \\$ $\dfrac{48 \pi i}{13} \\$ $\dfrac{24}{13} \\$ $\dfrac{12}{13}$
edited
Oct 3
in
Differential Equations
by
jothee
(
1.4k
points)
gate2016ee1
partialderivative
upperlimit
lowerlimit
0
votes
0
answers
20
GATE201614
A function $y(t)$, such that $y(0)=1$ and $y(1)=3e^{1}$, is a solution of the differential equation $\dfrac{d^{2}y}{dt^{2}}+2\dfrac{dy}{dt}+y=0$. Then $y(2)$ is $5e^{1}$ $5e^{2}$ $7e^{1}$ $7e^{2}$
edited
Oct 3
in
Differential Equations
by
jothee
(
1.4k
points)
gate2016ee1
quadraticequation
repeatedroots
linearordinarydifferentialequation
0
votes
0
answers
21
GATE201613
The Laplace Transform of $f(t)=e^{2t} \sin (5t)(ut)$ is $\dfrac{5}{s^{2}4s+29} \\ $ $\dfrac{5}{s^{2}+5} \\ $ $\dfrac{s2}{s^{2}4s+29} \\$ $\dfrac{5}{s +5}$
edited
Oct 3
in
Signals and Systems
by
jothee
(
1.4k
points)
gate2016ee1
unitstepfunction
fouriertransform
shiftingtheorems
0
votes
0
answers
22
GATE20161GA10
Choose the correct expression for $f(x)$ given in the graph. $f(x) = 1  \mid x  1 \mid $ $f(x) = 1 + \mid x  1 \mid $ $f(x) = 2  \mid x  1 \mid $ $f(x) = 2 + \mid x  1 \mid $
edited
Oct 3
in
Calculus
by
jothee
(
1.4k
points)
gate2016ee1
compositefunctions
arrowdiagram
shifting
0
votes
0
answers
23
GATE20161GA8
All hillstations have a lake. Ooty has two lakes. Which of the statement(s) below is/are logically valid and can be inferred from the above sentences? Ooty is not a hillstation. No hillstation can have more than one lake. (i) only (ii) only Both (i) and (ii) Neither (i) nor (ii)
edited
Oct 3
in
Numerical Ability
by
jothee
(
1.4k
points)
gate2016ee1
logical
generalmath
numerical
0
votes
0
answers
24
GATE20161GA7
Computers were invented for performing only highend useful computations. However, it is no understatement that they have taken over our world today. The internet, for example, is ubiquitous. Many believe that the internet itself is an unintended consequence of the original invention ... internet are both intended inventions (i) only (ii) only Both (i) and (ii) Neither (i) nor (ii)
edited
Oct 3
in
Numerical Ability
by
jothee
(
1.4k
points)
gate2016ee1
generalmath
logical
infer
0
votes
0
answers
25
GATE20161GA6
Among $150$ faculty members in an institute, $55$ are connected with each other through Facebook$^®$ and $85$ are connected through WhatsApp$^®$. $30$ faculty members do not have Facebook$^®$ or WhatsApp$^®$ accounts. The number of faculty members connected only through Facebook$^®$ accounts is _________. $35$ $45$ $65$ $90$
edited
Oct 3
in
Numerical Ability
by
jothee
(
1.4k
points)
gate2016ee1
analytical
logical
generalmath
0
votes
0
answers
26
GATE20161GA5
In a quadratic function, the value of the product of the roots $(\alpha, \beta)$ is $4$. Find the value of $\dfrac{\alpha^{n}+\beta^{n}}{\alpha^{n}+\beta^{n}}$ $n^{4}$ $4^{n}$ $2^{2n1}$ $4^{n1}$
edited
Oct 3
in
Linear Algebra
by
jothee
(
1.4k
points)
gate2016ee1
functions
roots
sequence
0
votes
0
answers
27
GATE2015211
The operational amplifier shown in the figure is ideal. The input voltage (in Volt) is $V_{i} = 2 \sin(2\pi \times 2000t)$. The amplitude of the output voltage $V_{o}$ (in Volt) is ________.
edited
Oct 3
in
Control Systems
by
jothee
(
1.4k
points)
gate2015ee2
operationalamplifier
pidcontroller
numericalanswers
0
votes
0
answers
28
GATE2015239
The saturation voltage of the ideal opamp shown below is $\pm 10$ V. The output voltage $v_{o}$ of the following circuit in the steadystate is Square wave of period $0.55$ ms. Triangular wave of period $0.55$ ms. square Square wave of period $0.25$ ms. Triangular wave of period $0.25$ ms
edited
Oct 3
in
new
by
jothee
(
1.4k
points)
gate2015ee2
0
votes
0
answers
29
GATE2015233
In the given rectifier, the delay angle of the thyristor $T_{1}$ measured from the positive going zero crossing of $V_{s}$ is $30^\circ$. If the input voltage $V_{s}$ is $100 \sin(100 \pi t) V$, the average voltage across $R$ (in Volt) under steadystate is _________.
edited
Oct 3
in
Analog and Digital Electronics
by
jothee
(
1.4k
points)
gate2015ee2
bridgerectifier
diodes
thyrister
numericalanswers
0
votes
0
answers
30
GATE201529
Two semiinfinite dielectric regions are separated by a plane boundary at $y = 0$. The dielectric constants of region $1 (y < 0)$ and region $2 (y > 0)$ are $2$ and $5$, respectively. Region $1$ has uniform electric field $\overrightarrow{E}=3\hat{a}_{x}+4\hat{a}_{y}+2\hat{a}_{z}$ ... $3\hat{a}_{x}+10\hat{a}_{y}+0.8\hat{a}_{z}$
edited
Oct 3
in
new
by
jothee
(
1.4k
points)
gate2015ee2
electricfield
dielectricconstant
0
votes
0
answers
31
GATE20152GA9
If the list of letters, $P, R, S, T, U$ is an arithmetic sequence, which of the following are also in arithmetic sequence? $2P, 2R, 2S, 2T, 2U$ $P3, R3, S3, T3, U3$ $P^{2}, R^{2}, S^{2}, T^{2}, U^{2}$ $I$ only $I$ and $II$ $II$ and $III$ $I$ and $III$
edited
Oct 3
in
Numerical Ability
by
jothee
(
1.4k
points)
gate2015ee2
logical
sequence
0
votes
0
answers
32
GATE2015254
An open loop transfer function $G(s)$ of a system is $G(s)=\dfrac{k}{s(s+1)(s+2)}$ For a unity feedback system, the breakaway point of the root loci on the real axis occurs at, $−0.42$ $−1.58$ $−0.42$ and $−1.58$ None of the above
edited
Oct 3
in
new
by
jothee
(
1.4k
points)
gate2015ee2
0
votes
0
answers
33
GATE2015253
The unit step response of a system with the transfer function $G(s)=\dfrac{12s}{1+s}$ is given by which one of the following waveforms?
edited
Oct 3
in
new
by
jothee
(
1.4k
points)
gate2015ee2
0
votes
0
answers
34
GATE2015252
The following discretetime equations result from the numerical integration of the differential equations of an undamped simple harmonic oscillator with state variables $x$ and $y$. The integration time step is $h$. $\dfrac{x_{k+1}x_{k}}{h}=y_{k}$ ... $0 < h <\dfrac{1}{2\pi} \\$ The system is stable for $\dfrac{1}{2\pi}<h<\dfrac{1}{\pi}$
edited
Oct 3
in
new
by
jothee
(
1.4k
points)
gate2015ee2
0
votes
0
answers
35
GATE2015250
A $220$ V, $3$phase, $4$pole, $50$ Hz inductor motor of wound rotor type is supplied at rated voltage and frequency. The stator resistance, magnetizing reactance, and core loss are negligible. The maximum torque produced by the rotor is $225\%$ of ... of external resistance (in Ohm) which must be inserted in a rotor phase if the maximum torque is to occur at start is _________.
edited
Oct 3
in
new
by
jothee
(
1.4k
points)
gate2015ee2
numericalanswers
0
votes
0
answers
36
GATE2015247
A threewinding transformer is connected to an $AC$ voltage source as shown in the figure. The number of turns are as follows: $N_{1} = 100, N_{2} = 50, N_{3} = 50$ ... $1\angle 90^{\circ}$ $1\angle 270^{\circ}$ $4\angle 90^{\circ}$ $4\angle 270^{\circ}$
edited
Oct 3
in
new
by
jothee
(
1.4k
points)
gate2015ee2
0
votes
0
answers
37
GATE2015240
The incremental costs (in Rupees/MWh) of operating two generating units are functions of their respective powers $P_{1}$ and $P_{2}$ in $MW$, and are given by $\dfrac{dC_{1}}{dP_{1}}=0.2P_{1}+50$ $\dfrac{dC_{2}}{dP_{2}}=0.24P_{2}+40$ ... Rs/MWh and $dC_{2}/dP_{2} = 68.8$ Rs/MWh. If the generations are rescheduled to minimize the total cost, then $P_{2}$ is ________.
edited
Oct 3
in
new
by
jothee
(
1.4k
points)
gate2015ee2
numericalanswers
0
votes
0
answers
38
GATE2015238
A Boolean function $f(A, B, C, D) = \prod (1,5,12,15)$ is to be implemented using an $8 \times 1$ multiplexer ($A$ is $MSB$). The inputs $ABC$ are connected to the select inputs $S_{2} S_{1} S_{0}$ of the multiplexer respectively. Which one of the following options gives the correct ... $D, 1, D, 1, 1, 1, \overline{D}, D$ $\overline{D}, 0, \overline{D}, 0, 0, 0,D, \overline{D}$
edited
Oct 3
in
new
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jothee
(
1.4k
points)
gate2015ee2
0
votes
0
answers
39
GATE2015236
Two semiinfinite conducting sheets are placed at right angles to each other as shown in the figure. A point charge of $+Q$ is placed at a distance of $d$ from both sheets. The net force on the charge is $\dfrac{Q^{2}}{4\pi \in_{0}} \frac{Q}{d^{2}}$, where $K$ is given by $0 \\$ ... $\dfrac{12\sqrt{2}}{8\sqrt{2}} \hat{t}+\dfrac{12\sqrt{2}}{8\sqrt{2}} \hat{j}$
edited
Oct 3
in
new
by
jothee
(
1.4k
points)
gate2015ee2
0
votes
0
answers
40
GATE2015245
A symmetrical square wave of $50\%$ duty cycle has amplitude of $\pm15$ V and time period of $0.4\pi$ ms. This square wave is applied across a series $RLC$ circuit with $R = 5 \Omega$, $L = 10$ mH, and $C = 4 \mu F$. The amplitude of the $5000$ rad/s component of the capacitor voltage (in Volt) is ______.
edited
Oct 3
in
new
by
jothee
(
1.4k
points)
gate2015ee2
numericalanswers
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