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Recent questions tagged numerical-answers
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321
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 ________.
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 _______...
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Electromagnetic Fields
gate2016-ee-2
electromagnetism
electromagnetic-theory
field
numerical-answers
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322
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, ___________.
For the network shown in the figure below, the frequency (in rad/s) at which the maximum phase lag occurs is, ___________.
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Electric Circuits
gate2016-ee-2
voltage-leads
current-leads
rc-filter
numerical-answers
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323
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 _______.
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 ...
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Electrical and Electronic Measurements
gate2016-ee-2
duty-cycle
high-frequency-switch
bidirectional-switch
reverse-diode
numerical-answers
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0
votes
0
answers
324
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 ___________.
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 th...
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makhdoom ghaya
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Electrical and Electronic Measurements
gate2016-ee-2
line-current
waveform
triplen-harmonics
magnetization-inductance
numerical-answers
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0
votes
0
answers
325
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 _________.
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 v...
makhdoom ghaya
9.4k
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Signals and Systems
gate2016-ee-2
linear
translation-invariant
convolution
impulse-response
numerical-answers
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0
votes
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answers
326
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 ________.
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 $3$...
makhdoom ghaya
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Electrical Machines
gate2016-ee-2
reactive-power-supplier
field-emf
electrical-angle
mechanical-angle
numerical-answers
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answers
327
GATE Electrical 2016 Set 2 | Question: 12
The voltage $(V)$ and current $(A)$ across a load are as follows. $v(t)=100\sin$ (ωt), $i(t)=10\sin(ωt-60°) + 2\sin(3ωt)+5\sin(5ωt)$ The average power consumed by the load, in $W$, is _________.
The voltage $(V)$ and current $(A)$ across a load are as follows.$v(t)=100\sin$ (ωt),$i(t)=10\sin(ωt-60°) + 2\sin(3ωt)+5\sin(5ωt)$The average power consumed by the l...
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9.4k
points
makhdoom ghaya
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Power Systems
gate2016-ee-2
instantaneous-voltage-source
instantaneous-current-source
instantaneous-power
numerical-answers
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0
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328
GATE Electrical 2016 Set 2 | Question: 5
Suppose the maximum frequency in a band-limited signal $x(t)$ is $5 kHz$. Then, the maximum frequency in $x(t)\cos(2000\pi t)$, in $kHz$, is ________.
Suppose the maximum frequency in a band-limited signal $x(t)$ is $5 kHz$. Then, the maximum frequency in $x(t)\cos(2000\pi t)$, in $kHz$, is ________.
makhdoom ghaya
9.4k
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makhdoom ghaya
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Signals and Systems
gate2016-ee-2
high-pass-filter
low-pass-filter
continuous-time-signal
numerical-answers
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0
votes
0
answers
329
GATE Electrical 2016 Set 2 | Question: 3
The following figure shows the connection of an ideal transformer with primary to secondary turns ratio of $1:100$. The applied primary voltage is $100 V$ (rms), $50 Hz, AC$. The rms value of the current $I$, in ampere, is _________.
The following figure shows the connection of an ideal transformer with primary to secondary turns ratio of $1:100$. The applied primary voltage is $100 V$ (rms), $50 Hz, ...
makhdoom ghaya
9.4k
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makhdoom ghaya
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Electrical Machines
gate2016-ee-2
isolation
windings
turn-ratio
numerical-answers
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0
votes
0
answers
330
GATE Electrical 2016 Set 2 | GA Question: 10
The numeral in the units position of $211^{870}+146^{127} \times 3^{424}$ is _____.
The numeral in the units position of $211^{870}+146^{127} \times 3^{424}$ is _____.
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Quantitative Aptitude
gate2016-ee-2
numerical-ability
numerical-computation
numerical-answers
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0
votes
0
answers
331
GATE Electrical 2016 Set 2 | GA Question: 6
The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a plant is defined as ratio of actual ... a small plant. The difference between total production of large plants and small plants, in tonnes is ______________.
The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. C...
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Quantitative Aptitude
gate2016-ee-2
numerical-ability
data-interpretation
bar-graph
numerical-answers
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0
votes
0
answers
332
GATE Electrical 2016 Set 1 | Question: 51
A single-phase transmission line has two conductors each of $10$ mm radius. These are fixed at a center-to-center distance of $1$ m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third ... more than that of the inductance per conductor of the single-phase system. The distance $D$, in meters, is _________.
A single-phase transmission line has two conductors each of $10$ mm radius. These are fixed at a center-to-center distance of $1$ m in a horizontal plane. This is now con...
makhdoom ghaya
9.4k
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makhdoom ghaya
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Power Systems
gate2016-ee-1
transmission-system-design
transmission-parameters
transposition
numerical-answers
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0
votes
0
answers
333
GATE Electrical 2016 Set 1 | Question: 55
In the circuit shown below, the node voltage $V_{A}$ is ___________ $V$.
In the circuit shown below, the node voltage $V_{A}$ is ___________ $V$.
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Electric Circuits
gate2016-ee-1
elctronics
dependent-voltge-source
nodal-analysis
numerical-answers
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0
votes
0
answers
334
GATE Electrical 2016 Set 1 | Question: 54
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 _____________.
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 ...
makhdoom ghaya
9.4k
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Electric Circuits
gate2016-ee-1
capacitance
inductance
sinusoidal-source
numerical-answers
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0
votes
0
answers
335
GATE Electrical 2016 Set 1 | Question: 53
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 moving-coil and moving-iron voltmeters, show readings of $V_{1}$ and $V_{2}$ respectively. The value of $V_{2} − V_{1}$, in volts, is ________.
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)...
makhdoom ghaya
9.4k
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makhdoom ghaya
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Electromagnetic Fields
gate2016-ee-1
faraday-law
magnetic-induction
induced-emf
numerical-answers
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–
0
votes
0
answers
336
GATE Electrical 2016 Set 1 | Question: 52
In the circuit shown below, the supply voltage is $10 \sin(1000t)$ volts. The peak value of the steady state current through the $1 \Omega$ resistor, in amperes, is ________.
In the circuit shown below, the supply voltage is $10 \sin(1000t)$ volts. The peak value of the steady state current through the $1 \Omega$ resistor, in amperes, is _____...
makhdoom ghaya
9.4k
points
makhdoom ghaya
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Electric Circuits
gate2016-ee-1
mesh-analysis
nodal-analysis
sinusoidal-voltage-source
numerical-answers
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0
votes
0
answers
337
GATE Electrical 2016 Set 1 | Question: 48
A three-phase, $50 Hz$ salient-pole synchronous motor has a per-phase direct-axis reactance $(X_{d})$ of $0.8$ pu and a per-phase quadrature-axis reactance $(X_{q})$ of $0.6$ pu. Resistance of the machine is negligible. It is drawing full-load current at $0.8$ pf(leading). When the terminal voltage is $1$ pu, per-phase induced voltage, in pu, is _______.
A three-phase, $50 Hz$ salient-pole synchronous motor has a per-phase direct-axis reactance $(X_{d})$ of $0.8$ pu and a per-phase quadrature-axis reactance $(X_{q})$ of $...
makhdoom ghaya
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makhdoom ghaya
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Jan 29, 2017
Electrical Machines
gate2016-ee-1
damper-winding
constant-dc-field-winding
reactive-power
numerical-answers
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–
0
votes
0
answers
338
GATE Electrical 2016 Set 1 | Question: 41
A $30 MVA$, $3$-phase, $50 Hz$, $13.8 kV$, star-connected 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 ... The value of $X_{n}$ (in p.u.) that will limit the positive sequence generator current to $4270 \: A$ is ________.
A $30 MVA$, $3$-phase, $50 Hz$, $13.8 kV$, star-connected synchronous generator has positive, negative and zero sequence reactances, $15\%$, $15\%$ and $5\%$ respectively...
makhdoom ghaya
9.4k
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Power Systems
gate2016-ee-1
slip
power-system-faults
sequence-networks
numerical-answers
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–
0
votes
0
answers
339
GATE Electrical 2016 Set 1 | Question: 47
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 _________.
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 ...
makhdoom ghaya
9.4k
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Electrical Machines
gate2016-ee-1
efficiency
core-losses
misc-losses
numerical-answers
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0
votes
0
answers
340
GATE Electrical 2016 Set 1 | Question: 46
A single-phase $400 V, 50 Hz$ 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 _______.
A single-phase $400 V, 50 Hz$ 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 a...
makhdoom ghaya
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makhdoom ghaya
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Electrical Machines
gate2016-ee-1
transformer-winding
transformer-core
hysterisis-loss
numerical-answers
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–
0
votes
0
answers
341
GATE Electrical 2016 Set 1 | Question: 45
The voltage $(v_{s})$ across and the current $(i_{s})$ through a semiconductor switch during a turn-ON transition are shown in figure. The energy dissipated during the turn-ON transition, in $mJ$, is _______.
The voltage $(v_{s})$ across and the current $(i_{s})$ through a semiconductor switch during a turn-ON transition are shown in figure. The energy dissipated during the tu...
makhdoom ghaya
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points
makhdoom ghaya
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Electric Circuits
gate2016-ee-1
semi-conductor-devices
bipolar-junction
transistors
turn-on-characteristics-of-transistor
numerical-answers
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–
0
votes
0
answers
342
GATE Electrical 2016 Set 1 | Question: 44
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 ... $5 kHz$. The peak value of the $100 Hz$ component of the load current $(i_{L})$, in ampere, is ________ .
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\si...
makhdoom ghaya
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points
makhdoom ghaya
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Electric Circuits
gate2016-ee-1
pulse-width-modulation
carrier-waves
modulating-techniques
numerical-answers
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–
0
votes
0
answers
343
GATE Electrical 2016 Set 1 | Question: 40
A three-phase 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 three- ... voltage is $3.3 kV$, $50 Hz$, the capacitance per phase of the bank, expressed in microfarads, is ________.
A three-phase 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 wi...
makhdoom ghaya
9.4k
points
makhdoom ghaya
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Jan 29, 2017
Power Systems
gate2016-ee-1
active-power
reactive-power
heat-losses
numerical-answers
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–
0
votes
0
answers
344
GATE Electrical 2016 Set 1 | Question: 39
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 _____.
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 indu...
makhdoom ghaya
9.4k
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makhdoom ghaya
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Electric Circuits
gate2016-ee-1
high-frequency-switch
dc-battery
rl-load
numerical-answers
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–
0
votes
0
answers
345
GATE Electrical 2016 Set 1 | Question: 33
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 ________.
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 ________.
makhdoom ghaya
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Calculus
gate2016-ee-1
calculus
degree-of-polynomial
numerical-answers
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0
votes
0
answers
346
GATE Electrical 2016 Set 1 | Question: 26
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 _________.
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 probabilit...
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Probability & Statistics
gate2016-ee-1
probability-and-statistics
probability
conditional-probability
numerical-answers
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0
votes
0
answers
347
GATE Electrical 2016 Set 1 | Question: 31
Consider the following state-space representation of a linear time-invariant 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 __________.
Consider the following state-space representation of a linear time-invariant system.$x(t)=\begin{pmatrix}1&0 \\0&2\end{pmatrix}x(t), y(t)= c^{T} x(t), c =\begin{pmatrix}1...
makhdoom ghaya
9.4k
points
makhdoom ghaya
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Control Systems
gate2016-ee-1
transformation
state-space-equations
correlation
numerical-answers
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–
0
votes
0
answers
348
GATE Electrical 2016 Set 1 | Question: 27
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 _________.
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 _________.
makhdoom ghaya
9.4k
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Signals and Systems
gate2016-ee-1
fourier-transform
sampling-theorem
z-transform
numerical-answers
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–
0
votes
0
answers
349
GATE Electrical 2016 Set 1 | Question: 23
A steady dc current of $100$ $A$ is flowing through a power module $(S, D)$ as shown in Figure (a). The $V-I$ 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 _________.
A steady dc current of $100$ $A$ is flowing through a power module $(S, D)$ as shown in Figure (a). The $V-I$ characteristics of the $IGBT (S)$ and the diode $(D)$ are sh...
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Analog and Digital Electronics
gate2016-ee-1
voltage-vs-current
transistor
diode
numerical-answers
+
–
0
votes
0
answers
350
GATE Electrical 2016 Set 1 | Question: 22
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 ___________.
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...
makhdoom ghaya
9.4k
points
makhdoom ghaya
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Electrical and Electronic Measurements
gate2016-ee-1
voltage-level-shift
continuous-conduction-mode
boundary-conditions
reverse-current
numerical-answers
+
–
0
votes
0
answers
351
GATE Electrical 2016 Set 1 | Question: 20
The magnitude of three-phase 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 pre-fault system to be unloaded. The pre-fault voltage at all buses in the ... $0.8$ pu. The voltage magnitude at bus $A$ during a three-phase fault at bus $B$, in pu, is __________.
The magnitude of three-phase 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 conside...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-1
fault-analysis
power-system-buses
3-phase-short-circuit
numerical-answers
+
–
0
votes
0
answers
352
GATE Electrical 2016 Set 1 | Question: 18
In the given circuit, the current supplied by the battery, in ampere, is ________.
In the given circuit, the current supplied by the battery, in ampere, is ________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
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Electric Circuits
gate2016-ee-1
voltage-divider
dependent-current-source
superposition
numerical-answers
+
–
0
votes
0
answers
353
GATE Electrical 2016 Set 1 | Question: 17
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 ________.
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 calori...
makhdoom ghaya
9.4k
points
makhdoom ghaya
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Electric Circuits
gate2016-ee-1
parallel-combination
series-combination
current-divider-circuit
numerical-answers
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–
0
votes
0
answers
354
GATE Electrical 2016 Set 1 | Question: 14
A soft-iron toroid is concentric with a long straight conductor carrying a direct current $I$. If the relative permeability $\mu_{r}$ of soft-iron is $100$, the ratio of the magnetic flux densities at two adjacent points located just inside and just outside the toroid, is ________.
A soft-iron toroid is concentric with a long straight conductor carrying a direct current $I$. If the relative permeability $\mu_{r}$ of soft-iron is $100$, the ratio of ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
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Electromagnetic Fields
gate2016-ee-1
current-carrying-conductor
electromagnetism
faradays-law
numerical-answers
+
–
0
votes
0
answers
355
GATE Electrical 2016 Set 1 | Question: 12
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 _________.
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...
makhdoom ghaya
9.4k
points
makhdoom ghaya
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Electric Circuits
gate2016-ee-1
semi-conductor-devices
reverse-saturation-mode
voltage-divider
numerical-answers
+
–
0
votes
0
answers
356
GATE Electrical 2016 Set 1 | Question: 1
The maximum value attained by the function. $f(x) = x(x-1) (x-2)$ in the interval $[1, 2]$ is ___________.
The maximum value attained by the function. $f(x) = x(x-1) (x-2)$ in the interval $[1, 2]$ is ___________.
makhdoom ghaya
9.4k
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makhdoom ghaya
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Calculus
gate2016-ee-1
calculus
maxima-minima
numerical-answers
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