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Recent questions tagged gate2016-ee-2
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1
GATE Electrical 2016 Set 2 | Question: 53
Two identical unloaded generators are connected in parallel as shown in the figure. Both the generators are having positive, negative and zero sequence impedances of $j0.4$ p.u., $j0.3$ p.u. and $j0.15$ p.u., respectively. If the pre-fault ... a line-to-ground $(L-G)$ fault at the terminals of the generators, the fault current, in p.u., is ___________.
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Power Systems
Jan 30, 2017
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gate2016-ee-2
sequence-impedences
pre-fault-voltage
numerical-answers
0
votes
0
answers
2
GATE Electrical 2016 Set 2 | Question: 54
An energy meter, having meter constant of $1200$ revolutions/kWh, makes $20$ revolutions in $30$ seconds for a constant load. The load, in $kW$, is __________.
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Power Systems
Jan 30, 2017
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makhdoom ghaya
9.3k
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gate2016-ee-2
energy-meter
revolutions
constant-load
numerical-answers
0
votes
0
answers
3
GATE Electrical 2016 Set 2 | Question: 55
A rotating conductor of $1$ m length is placed in a radially outward (about the $z$-axis) magnetic flux density $(B)$ of $1$ Tesla as shown in figure below. Conductor is parallel to and at $1$ m distance from the $z$-axis. The speed of the conductor in r.p.m. required to induce a voltage of $1$ V across it, should be __________.
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Electromagnetic Fields
Jan 30, 2017
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makhdoom ghaya
9.3k
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gate2016-ee-2
magnetic-flux-density
conductor
numerical-answers
0
votes
0
answers
4
GATE Electrical 2016 Set 2 | Question: 52
The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer function $G(s)=\frac{Ks}{(s-1)(s-4)}$ is $1$ $2$ $5$ $9$
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Control Systems
Jan 30, 2017
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makhdoom ghaya
9.3k
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gate2016-ee-2
gain
breakaway-point
unity-feedback-system
0
votes
0
answers
5
GATE Electrical 2016 Set 2 | Question: 49
Consider a linear time invariant system $\dot{x}=Ax$ with initial condition $x(0)$ at $t=0$. Suppose $\alpha$ and $\beta$ are eigenvectors of $(2 \times 2)$ matrix $A$ corresponding to distinct eigenvalues $\lambda_{1}$ and $\lambda_{2}$ respectively. Then the ... $e^{\lambda_{2}t}\alpha$ $e^{\lambda_{1}t}\alpha+e^{\lambda_{2}t}\beta$
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Linear Algebra
Jan 30, 2017
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makhdoom ghaya
9.3k
points
gate2016-ee-2
linear-algebra
eigen-values
eigen-vectors
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votes
0
answers
6
GATE Electrical 2016 Set 2 | Question: 48
A single-phase bi-directional voltage source converter $(VSC)$ is shown in the figure below. All devices are ideal. It is used to charge a battery at $400$ V with power of $5$ kW from a source $V_{s} = 220$ V (rms), $50$ Hz sinusoidal $AC$ ... $AC$ mains voltage $(V_{s})$ and fundamental $AC$ rms $VSC$ voltage $(V_{C1})$, in degree, is __________.
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Analog and Digital Electronics
Jan 30, 2017
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makhdoom ghaya
9.3k
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gate2016-ee-2
voltage-source-converter
phase-shift
numerical-answers
0
votes
0
answers
7
GATE Electrical 2016 Set 2 | Question: 50
A second-order real system has the following properties: a) the damping ratio $\zeta=0.5$ and undamped natural frequency $\omega _{n}=10$ rad/s b) the steady state value of the output, to a unit step input, is $1.02$ ... $\frac{102}{s^{2}+10s+100}$ $\frac{100}{s^{2}+10s+100}$ $\frac{102}{s^{2}+5s+100}$
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Control Systems
Jan 30, 2017
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makhdoom ghaya
9.3k
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gate2016-ee-2
damping-ratio
natural-frequency
0
votes
0
answers
8
GATE Electrical 2016 Set 2 | Question: 51
Three single-phase transformers are connected to form a delta-star three-phase transformer of $110$ kV/ $11$ kV. The transformer supplies at $11$ kV a load of $8$ MW at $0.8$ p.f. lagging to a nearby plant. Neglect the transformer losses. The ratio of phase currents in delta side to star side is $1 : 10\sqrt{3}$ $10\sqrt{3} : 1$ $1 : 10$ $\sqrt{3} : 10$
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Power Systems
Jan 30, 2017
by
makhdoom ghaya
9.3k
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gate2016-ee-2
delta-star-connections
transformer-losses
0
votes
0
answers
9
GATE Electrical 2016 Set 2 | Question: 47
A $DC-DC$ boost converter, as shown in the figure below, is used to boost $360$ V to $400$ V, at a power of $4$ kW. All devices are ideal. Considering continuous inductor current, the rms current in the solid state switch $(S)$, in ampere, is _________.
makhdoom ghaya
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in
Analog and Digital Electronics
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
boost-converter
inductor-current
numerical-answers
0
votes
0
answers
10
GATE Electrical 2016 Set 2 | Question: 46
A three-phase Voltage Source Inverter $(VSI)$ as shown in the figure is feeding a delta connected resistive load of $30 \Omega$/phase. If it is fed from a $600$ V battery, with $180$° conduction of solid-state devices, the power consumed by the load, in kW, is __________.
makhdoom ghaya
asked
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Analog and Digital Electronics
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
voltage-source-inverter
solid-state-devices
numerical-answers
0
votes
0
answers
11
GATE Electrical 2016 Set 2 | Question: 45
A full-bridge converter supplying an $RLE$ load is shown in figure. The firing angle of the bridge converter is $120$°. The supply voltage $v_{m}(t) =200\pi \sin (100\pi t) V, R=20\Omega, E=800 V$. The inductor $L$ is large ... output current $I_{L}$ a smooth dc current. Switches are lossless. The real power fed back to the source, in $kW$, is _________.
makhdoom ghaya
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in
Analog and Digital Electronics
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
full-bridge-converter
firing-angle
numerical-answers
0
votes
0
answers
12
GATE Electrical 2016 Set 2 | Question: 44
A single-phase, $2$ kVA, $100/200$ V transformer is reconnected as an auto-transformer such that its $kVA$ rating is maximum. The new rating, in $kVA$, is ______.
makhdoom ghaya
asked
in
Power Systems
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
auto-transformer
rating
numerical-answers
0
votes
0
answers
13
GATE Electrical 2016 Set 2 | Question: 43
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 __________.
makhdoom ghaya
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Electrical Machines
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
line-current
induction-motor
numerical-answers
0
votes
0
answers
14
GATE Electrical 2016 Set 2 | Question: 41
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 ___________.
makhdoom ghaya
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Power Systems
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
synchronous-motor
power-factor
power-intake
numerical-answers
0
votes
0
answers
15
GATE Electrical 2016 Set 2 | Question: 40
At no load condition, a $3$-phase, $50$ Hz, lossless power transmission line has sending-end and receiving-end 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 ____________.
makhdoom ghaya
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in
Power Systems
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
lossless-power-transmission-line
traveling-wave
numerical-answers
0
votes
1
answer
16
GATE Electrical 2016 Set 2 | Question: 42
The flux linkage $(\lambda)$ and current $(i)$ relation for an electromagnetic system is $\lambda=(\sqrt{i})/g$. When $i = 2A$ and $g$ (air-gap length) = $10$ cm, the magnitude of mechanical force on the moving part, in $N$, is __________.
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in
Electromagnetic Fields
Jan 30, 2017
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makhdoom ghaya
9.3k
points
gate2016-ee-2
flux
linkage
electromagnetic-system
numerical-answers
1
vote
0
answers
17
GATE Electrical 2016 Set 2 | Question: 38
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 ... transferred during the pre-fault condition to the maximum real power that can be transferred under the faulted condition is _________.
makhdoom ghaya
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Power Systems
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
single-line-diagram
three-phase-fault
pre-fault-condition
numerical-answers
0
votes
0
answers
18
GATE Electrical 2016 Set 2 | Question: 37
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 _________.
makhdoom ghaya
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Electric Circuits
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
capacitor-voltage
series-circuit
numerical-answers
0
votes
0
answers
19
GATE Electrical 2016 Set 2 | Question: 36
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 ___________.
makhdoom ghaya
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in
Power Systems
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
balanced-system
line
currents
numerical-answers
0
votes
0
answers
20
GATE Electrical 2016 Set 2 | Question: 39
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 $0 < T < \frac{4(K+1)}{K-1}$ $0 < K < \frac{4(T+2)}{T-2}$ $0 < K < \frac{T+2}{T-2}$ $0 < T < \frac{8(k+1)}{K-1}$
makhdoom ghaya
asked
in
Control Systems
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
transfer-function
unity-feedback-control-system
0
votes
0
answers
21
GATE Electrical 2016 Set 2 | Question: 33
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 $2, \frac{1}{2}$ $4, \frac{1}{2}$ $2, \frac{1}{4}$ $4, \frac{1}{4}$
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Probability & Statistics
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
probability-and-statistics
probability
random-variable
probability-density-function
0
votes
0
answers
22
GATE Electrical 2016 Set 2 | Question: 35
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 ________.
makhdoom ghaya
asked
in
Power Systems
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
average-power
network-analysis
numerical-answers
0
votes
0
answers
23
GATE Electrical 2016 Set 2 | Question: 34
The driving point input impedance seen from the source $V_{s}$ of the circuit shown below, in $\Omega$, is ______.
makhdoom ghaya
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in
Electric Circuits
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
mesh-analysis
nodal-analysis
kvl
kcl
numerical-answers
0
votes
0
answers
24
GATE Electrical 2016 Set 2 | Question: 32
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 $a^{2}+b^{2}=1$ ... with major axis along $\begin{pmatrix} 1\\ 1 \end{pmatrix}$ An ellipse with minor axis along $\begin{pmatrix} 1\\ 1 \end{pmatrix}$
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Linear Algebra
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
linear-algebra
matrices
eigen-values
eigen-vectors
0
votes
0
answers
25
GATE Electrical 2016 Set 2 | Question: 30
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 _________.
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in
Differential Equations
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
differential-equations
numerical-answers
0
votes
0
answers
26
GATE Electrical 2016 Set 2 | Question: 29
The value of the integral $2\int_{-\infty}^{\infty} (\frac{\sin2\pi t}{\pi t}) \text{d}t$ is equal to $0$ $0.5$ $1$ $2$
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in
Calculus
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
calculus
definite-integral
0
votes
0
answers
27
GATE Electrical 2016 Set 2 | Question: 31
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 ________.
makhdoom ghaya
asked
in
Electromagnetic Fields
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
electromagnetism
electromagnetic-theory
field
numerical-answers
0
votes
0
answers
28
GATE Electrical 2016 Set 2 | Question: 26
The Boolean expression $\overline{(a+\bar{b}+c+\bar{d})+(b+\bar{c})}$ simplifies to $1$ $\overline{a.b}$ $a.b$ $0$
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Analog and Digital Electronics
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
analog-and-digital-electronics
boolean-algebra
0
votes
0
answers
29
GATE Electrical 2016 Set 2 | Question: 28
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, $h(t)=e^{-2|t|}$ denotes the impulse response. For the system shown above ... can be uniquely reconstructed from its samples, is $2B_{1}$ $2(B_{1}+B_{2})$ $4(B_{1}+B_{2})$ $\infty$
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Signals and Systems
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
even-functions
impulse-response
exponential-function
0
votes
0
answers
30
GATE Electrical 2016 Set 2 | Question: 27
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 $1.8V_{1} + 7.2V_{2} -V_{3}$ $2V_{1} + 8V_{2} - 9V_{3}$ $7.2V_{1} + 1.8V_{2} -V_{3}$ $8V_{1} + 2V_{2} - 9V_{3}$
makhdoom ghaya
asked
in
Electric Circuits
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
operational-amplifier
feed-back-resistance
revese
0
votes
0
answers
31
GATE Electrical 2016 Set 2 | Question: 25
Two electrodes, whose cross-sectional view is shown in the figure below, are at the same potential. The maximum electric field will be at the point $A$ $B$ $C$ $D$
makhdoom ghaya
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in
Electromagnetic Fields
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
electric field intensity
electric flux density
potential-gradient
0
votes
0
answers
32
GATE Electrical 2016 Set 2 | Question: 21
For the network shown in the figure below, the frequency (in rad/s) at which the maximum phase lag occurs is, ___________.
makhdoom ghaya
asked
in
Electric Circuits
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
voltage-leads
current-leads
rc-filter
numerical-answers
0
votes
0
answers
33
GATE Electrical 2016 Set 2 | Question: 24
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 $3$
makhdoom ghaya
asked
in
Electric Circuits
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
kirchhoff's-voltage-law
nodal-analysis
mesh-analysis
0
votes
0
answers
34
GATE Electrical 2016 Set 2 | Question: 23
In the circuit shown below, the voltage and current sources are ideal. The voltage $(V_{out})$ across the current source, in volts, is $0$ $5$ $10$ $20$
makhdoom ghaya
asked
in
Electric Circuits
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
superposition
thevenin-theorem
norton-theorem
resistive-load
0
votes
0
answers
35
GATE Electrical 2016 Set 2 | Question: 22
The direction of rotation of a single-phase 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.
makhdoom ghaya
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in
Electrical Machines
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
pitch-factor
coil-span
stator-slots
flux-per-pole
0
votes
0
answers
36
GATE Electrical 2016 Set 2 | Question: 20
A buck-boost $DC-DC$ 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 solid-state switch $(S)$, in volt, is _______.
makhdoom ghaya
asked
in
Electrical and Electronic Measurements
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
duty-cycle
high-frequency-switch
bidirectional-switch
reverse-diode
numerical-answers
0
votes
0
answers
37
GATE Electrical 2016 Set 2 | Question: 19
A three-phase diode bridge rectifier is feeding a constant $DC$ current of $100 A$ to a highly inductive load. If three-phase, $415 V, 50 Hz AC$ source is supplying to this bridge rectifier then the rms value of the current in each diode, in ampere, is ___________.
makhdoom ghaya
asked
in
Electrical and Electronic Measurements
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
line-current
waveform
triplen-harmonics
magnetization-inductance
numerical-answers
0
votes
0
answers
38
GATE Electrical 2016 Set 2 | Question: 18
Consider a linear time-invariant 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 _________.
makhdoom ghaya
asked
in
Signals and Systems
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
linear
translation-invariant
convolution
impulse-response
numerical-answers
0
votes
0
answers
39
GATE Electrical 2016 Set 2 | Question: 17
A $50$ MVA, $10$ kV, $50$ Hz, star-connected, unloaded three-phase alternator has a synchronous reactance of $1$ p.u. and a sub-transient 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 ________.
makhdoom ghaya
asked
in
Electrical Machines
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
reactive-power-supplier
field-emf
electrical-angle
mechanical-angle
numerical-answers
0
votes
0
answers
40
GATE Electrical 2016 Set 2 | Question: 16
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 $1$ $2$ $4$ $16$
makhdoom ghaya
asked
in
Electric Circuits
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
electromagnetism
capacitance
relative-permitivity
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