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1
GATE2016153
A dc voltage with ripple is given by $v(t)=\left [ 100+10\sin\left ( \omega t \right )5\sin\left ( 3\omega t \right ) \right ]$ volts. Measurements of this voltage $v(t)$ made by movingcoil and movingiron voltmeters, show readings of $V_{1}$ and $V_{2}$ respectively. The value of $V_{2} − V_{1}$, in volts, is ________.
asked
Jan 30, 2017
in
Electromagnetic Fields
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makhdoom ghaya
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9.2k
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gate2016ee1
faradaylaw
magneticinduction
inducedemf
numericalanswers
0
votes
0
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2
GATE2016154
The circuit below is excited by a sinusoidal source. The value of $R$, in $\Omega$, for which the admittance of the circuit becomes a pure conductance at all frequencies is _____________.
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
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9.2k
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gate2016ee1
capacitance
inductance
sinusoidalsource
numericalanswers
0
votes
0
answers
3
GATE2016155
In the circuit shown below, the node voltage $V_{A}$ is ___________ $V$.
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
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9.2k
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gate2016ee1
elctronics
dependentvoltgesource
nodalanalysis
numericalanswers
0
votes
0
answers
4
GATE2016146
A singlephase $400 V, 50 Hz$ transformer has an iron loss of $5000 W$ at the rated condition. When operated at $200 V, 25 Hz$, the iron loss is $2000 W$. When operated at $416 V, 52 Hz$, the value of the hysteresis loss divided by the eddy current loss is _______.
asked
Jan 30, 2017
in
Electrical Machines
by
makhdoom ghaya
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9.2k
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gate2016ee1
transformerwinding
transformercore
hysterisisloss
numericalanswers
0
votes
0
answers
5
GATE2016147
A $DC$ shunt generator delivers $45 A$ at a terminal voltage of $220 V$. The armature and the shunt field resistances are $0.01 \Omega$ and $44 \Omega$ respectively. The stray losses are $375 W$. The percentage efficiency of the $DC$ generator is _________.
asked
Jan 30, 2017
in
Electrical Machines
by
makhdoom ghaya
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9.2k
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gate2016ee1
efficiency
corelosses
misclosses
numericalanswers
0
votes
0
answers
6
GATE2016134
Suppose $x_{1}(t)$ and $x_{2}(t)$ have the Fourier transforms as shown below. Which one of the following statements is TRUE? $x_{1}(t)$ and $x_{2}(t)$ are complex and $x_{1}(t) x_{2}(t)$is also complex with nonzero imaginary part $x_{1}(t)$ and $x_{2}(t)$ ... but $x_{1}(t) x_{2}(t)$ is real $x_{1}(t)$ and $x_{2}(t)$ are imaginary but $x_{1}(t) x_{2}(t)$ is real
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
mirror
signal
0
votes
0
answers
7
GATE2016135
The output of a continuoustime, linear timeinvariant system is denoted by $T\left\{x(t)\right\}$ where $x(t)$ is the input signal. A signal $z(t)$ is called eigensignal of the system $T$, when $T\left\{z(t)\right\}=\gamma z(t)$ where $\gamma$ is ... eigenvalues $\sin(t)$ is an eigensignal but $\cos(t)$ is not $\cos(t)$ and $\sin(t)$are both eigensignals with identical eigenvalues
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
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9.2k
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gate2016ee1
impulseresponse
stepresponse
convolution
0
votes
0
answers
8
GATE2016136
The current state $Q_{A} Q_{B}$ of a two $JK$ flipflop system is $00$. Assume that the clock risetime is much smaller than the delay of the $JK$ flipflop. The next state of the system is $00$ $01$ $11$ $10$
asked
Jan 30, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
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9.2k
points)
gate2016ee1
registers
ram
memorystoringelements
0
votes
0
answers
9
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 $B_{0}$ as a Boolean function of $X_{2}, X_{1}$, and $X_{0}$ ... $X_{0}\left[X_{2} \bigoplus X_{1}\right]$ $\bar{X_{0}}\left[X_{2} \bigoplus X_{1}\right]$
asked
Jan 30, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
leastsignificantbit
booleanexpression
operationalamplifier
0
votes
0
answers
10
GATE2016138
Two electric charges $q$ and $−2q$ are placed at $(0,0)$ and $(6,0)$ on the $xy$ plane. The equation of the zero equipotential curve in the $xy$ plane is $x=2$ $y=2$ $x^{2}+y^{2}=2$ $(x+2)^{2}+y^{2}=16$
asked
Jan 30, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
electromagnetism
electromagnetictheory
coulomb'slaw
0
votes
0
answers
11
GATE2016139
In the circuit shown, switch $S_{2}$ has been closed for a long time. At time $t=0$ switch $S_{1}$ is closed. At $t=0^{+}$, the rate of change of current through the inductor, in amperes per second, is _____.
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
highfrequencyswitch
dcbattery
rlload
numericalanswers
0
votes
0
answers
12
GATE2016140
A threephase cable is supplying $800 kW$ and $600 kVAr$ to an inductive load. It is intended to supply an additional resistive load of $100 kW$ through the same cable without increasing the heat dissipation in the cable, by providing a threephase bank of ... the line voltage is $3.3 kV$, $50 Hz$, the capacitance per phase of the bank, expressed in microfarads, is ________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
activepower
reactivepower
heatlosses
numericalanswers
0
votes
0
answers
13
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 double ... $X_{n}$ (in p.u.) that will limit the positive sequence generator current to $4270$ A is ________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
slip
powersystemfaults
sequencenetworks
numericalanswers
0
votes
0
answers
14
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 $60$º $V_{AB}$ lags $V_{ab}$ by $60$º $V_{AB}$ leads $V_{ab}$ by $30$º $V_{AB}$ lags $V_{ab}$ by $30$º
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
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gate2016ee1
sequencevoltages
startodeltaconversion
120phaseshift
0
votes
0
answers
15
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 $30$°, then value of the power factor at $AC$ mains is $0.87$ $0.9$ $0.78$ $0.45$
asked
Jan 30, 2017
in
new
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
actodcconversion
magnitudecontrol
phasecontrol
0
votes
0
answers
16
GATE2016144
The switches $T1$ and $T2$ in Figure (a) are switched in a complementary fashion with sinusoidal pulse width modulation technique. The modulating voltage $v_{m}(t)=0.8\sin (200\pi t) V$ and the triangular carrier voltage $(v_{c})$ are as shown in Figure (b). The ... frequency is $5 kHz$. The peak value of the $100 Hz$ component of the load current $(i_{L})$, in ampere, is ________ .
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
pulsewidthmodulation
carrierwaves
modulatingtechniques
numericalanswers
0
votes
0
answers
17
GATE2016145
The voltage $(v_{s})$ across and the current $(i_{s})$ through a semiconductor switch during a turnON transition are shown in figure. The energy dissipated during the turnON transition, in $mJ$, is _______.
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
semiconductordevices
bipolarjunction
transistors
turnoncharacteristicsoftransistor
numericalanswers
0
votes
0
answers
18
GATE2016120
The magnitude of threephase fault currents at buses $A$ and $B$ of a power system are $10$ pu and $8$ pu, respectively. Neglect all resistances in the system and consider the prefault system to be unloaded. The prefault voltage at all buses in the system is $1.0$ pu. ... $A$ is $0.8$ pu. The voltage magnitude at bus $A$ during a threephase fault at bus $B$, in pu, is __________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
faultanalysis
powersystembuses
3phaseshortcircuit
numericalanswers
0
votes
0
answers
19
GATE2016121
Consider a system consisting of a synchronous generator working at a lagging power factor, a synchronous motor working at an overexcited condition and a directly gridconnected induction generator. Consider capacitive $VAr$ ... is a source and induction generator and synchronous generator are sinks of reactive power. All are sources of reactive power.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
unitypowerfactor
sourceofreactivepower
load
0
votes
0
answers
20
GATE2016122
A buck converter, as shown in Figure (a) below, is working in steady state. The output voltage and the inductor current can be assumed to be ripple free. Figure (b) shows the inductor voltage $v_{L}$ during a complete switching interval. Assuming all devices are ideal, the duty cycle of the buck converter is ___________.
asked
Jan 30, 2017
in
Electrical and Electronic Measurements
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
voltagelevelshift
continuousconductionmode
boundaryconditions
reversecurrent
numericalanswers
0
votes
0
answers
21
GATE2016123
A steady dc current of $100$ $A$ is flowing through a power module $(S, D)$ as shown in Figure (a). The $VI$ characteristics of the $IGBT (S)$ and the diode $(D)$ are shown in Figures $(b)$ and $(c)$, respectively. The conduction power loss in the power module $(S, D)$, in watts, is _________.
asked
Jan 30, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
voltagevscurrent
transistor
diode
numericalanswers
0
votes
0
answers
22
GATE2016124
A $4$pole, lapconnected, separately excited $dc$ motor is drawing a steady current of $40$ A while running at $600$ rpm. A good approximation for the waveshape of the current in an armature conductor of the motor is given by
asked
Jan 30, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
rotor
stator
winding
0
votes
0
answers
23
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 $nL$ $n^{2}L$ $\frac{n}{L}$ $\frac{n^{2}}{L}$
asked
Jan 30, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
turnratio
inductiveload
coil
0
votes
0
answers
24
GATE2016126
Candidates were asked to come to an interview with $3$ pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probability that a candidate comes with all $3$ pens having the same colour is _________.
asked
Jan 30, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
randomvariable
event
mean
numericalanswers
0
votes
0
answers
25
GATE2016127
Let $S=\sum_{n=0}^{\infty} n\alpha^{n}$ where $\alpha < 1$. The value of $\alpha$ in the range $0 < \alpha < 1$, such that $S=2 \alpha$ is _________.
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
fouriertransform
samplingtheorem
ztransform
numericalanswers
0
votes
0
answers
26
GATE2016128
Let the eigenvalues of a $2 \times 2$ matrix $A$ be $1, 2$ with eigenvectors $x_{1}$ and $x_{2}$ respectively. Then the eigenvalues and eigenvectors of the matrix $A^{2}3A+4I$ would, respectively, be $2, 14; x_{1}, x_{2}$ $2, 14; x_{1}+ x_{2}, x_{1}  x_{2}$ $2, 0; x_{1}, x_{2}$ $2, 0; x_{1}+ x_{2}, x_{1}  x_{2}$
asked
Jan 30, 2017
in
Linear Algebra
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
eigenmatrix
eigenvalues
0
votes
0
answers
27
GATE2016129
Let $A$ be a $4 \times 3$ real matrix with rank $2$. Which one of the following statement is TRUE? Rank of $A^{T} A$ is less than $2$. Rank of $A^{T} A$ is equal to $2$. Rank of $A^{T} A$ is greater than $2$. Rank of $A^{T} A$ can be any number between $1$ and $3$.
asked
Jan 30, 2017
in
Calculus
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
numberofnonzerorows
gaussreduction
gausselimination
0
votes
0
answers
28
GATE2016130
Consider the following asymptotic Bode magnitude plot (ω is in rad/s). Which one of the following transfer functions is best represented by the above Bode magnitude plot? $\frac{2s}{(1+0.5s)(1+0.25s)^{2}}$ $\frac{4(1+0.5s)}{s(1+0.25s)}$ $\frac{2s}{(1+2s)(1+4s)}$ $\frac{4s}{(1+2s)(1+4s)^{2}}$
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
logarithmicplot
gaink
integralandderivativefactor
0
votes
0
answers
29
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 __________.
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
transformation
statespaceequations
correlation
numericalanswers
0
votes
0
answers
30
GATE2016132
Loop transfer function of a feedback system is $G(s)H(s)=\frac{s+3}{s^{2}(s3)}$. 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
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
closedloopsystem
nyquiststability
mapping
0
votes
0
answers
31
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 ________.
asked
Jan 30, 2017
in
Linear Algebra
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
multiplicity
degreeofpolynomial
numericalanswers
0
votes
0
answers
32
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
votes
0
answers
33
GATE201617
The phase crossover frequency of the transfer function $G(s)=\frac{100}{(s+1)^{3}}$ in rad/s is $\sqrt{3}$ $\frac{1}{\sqrt{3}}$ $3$ $3\sqrt{3}$
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
mathematicalrepresentation
crossoverfrequency
180phaseshift
bodestabilitycriteria
0
votes
0
answers
34
GATE201618
Consider a continuoustime system with input $x(t)$ and output $y(t)$ given by $y(t)=x(t) \cos (t)$. This system is Linear and timeinvariant Nonlinear and timeinvariant Linear and timevarying Nonlinear and timevarying
asked
Jan 30, 2017
in
Signals and Systems
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makhdoom ghaya
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9.2k
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gate2016ee1
samplingtheorem
scalingproperties
causalsystem
0
votes
0
answers
35
GATE201619
The value of $\int_{\infty}^{+\infty} e^{t} \delta (2t2){d}t$, where $\delta (t)$ is the Dirac delta function, is $\frac{1}{2e}$ $\frac{2}{e}$ $\frac{1}{e^{2}}$ $\frac{1}{2e^{2}}$
asked
Jan 30, 2017
in
Calculus
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makhdoom ghaya
(
9.2k
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gate2016ee1
pauldirac
operationalcalculus
weaklimit
0
votes
0
answers
36
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 $8$ $10$ $12$ $14$
asked
Jan 30, 2017
in
new
by
makhdoom ghaya
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9.2k
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gate2016ee1
analogtodigitalconverter
sampling
microcontroller
0
votes
0
answers
37
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 $A\bigoplus B$ $\bar{A+B}$ $A+B$ $\bar{A \bigoplus B}$
asked
Jan 30, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
notgate
multiplexer
logiccircuits
0
votes
0
answers
38
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
(
9.2k
points)
gate2016ee1
semiconductordevices
reversesaturationmode
voltagedivider
numericalanswers
0
votes
0
answers
39
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 $z$.
asked
Jan 30, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
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9.2k
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gate2016ee1
electromagnetictheory
magnetomotiveforce
ampere'slaw
0
votes
0
answers
40
GATE2016114
A softiron toroid is concentric with a long straight conductor carrying a direct current $I$. If the relative permeability $\mu_{r}$ of softiron is $100$, the ratio of the magnetic flux densities at two adjacent points located just inside and just outside the toroid, is ________.
asked
Jan 30, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.2k
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gate2016ee1
currentcarryingconductor
electromagnetism
faradayslaw
numericalanswers
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