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Recent questions tagged numericalanswers
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1
GATE2019 EE: 18
If $f=2x^{3}+3y^{2}+4z$, the value of line integral $\int_{c} \text{grad}f \cdot d \textbf{r}$ evaluated over contour $C$ formed by the segments $(3,3,2)\rightarrow(2,3,2)\rightarrow(2,6,2) \rightarrow(2,6,1) $ is___________.
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Feb 12
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gate2019ee
numericalanswers
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2
GATE2019 EE: 19
The current $I$ is flowing in the circuit shown below in amperes (round off to one decimal place) is _________
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numericalanswers
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3
GATE2019 EE: 20
A coaxial Cylindrical capacitor is shown in the Figure(i) has dielectric with relative permittivity $\varepsilon_{r1} = 2$. When one – fourth portion of the dielectric is replaced with another dielectric of relative permittivity $\varepsilon_{r2}$, as shown in the Figure(ii), the capacitance is doubled. The value of $\varepsilon_{r2}$ is _________.
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Feb 12
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gate2019ee
numericalanswers
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4
GATE2019 EE: 21
The $Y_{\text{bus}}$ matrix of a twobus power system having two identical parallel lines connected between them in pu is given as $Y_{\text{bus}} = \begin{bmatrix} j8 & j20 \\ j20& j8 \end{bmatrix}$The magnitude of the series reactance of each line in pu (round off upto one decimal place) is__________.
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Feb 12
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Arjun
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gate2019ee
numericalanswers
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5
GATE2019 EE: 22
Five alternators each rated $5$ MVA, $13.2$ kV with $25 \%$ of reactance on its own base are connected in parallel to a busbar. The short circuit level in MVA at the busbar is ____________
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Feb 12
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Arjun
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gate2019ee
numericalanswers
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6
GATE2019 EE: 23
The total impedance of the secondary winding, leads, and burden of a $5$ A CT is $0.01 \: \Omega$. If the fault current is $20$ times the rated primary current of the CT, the VA output of the CT is_________
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Feb 12
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gate2019ee
numericalanswers
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1
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7
GATE2019 EE: 24
The rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.
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Feb 12
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Arjun
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5.4k
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gate2019ee
numericalanswers
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8
GATE2019 EE: 25
The output voltage of a singlephase fullbridge voltage source inverter is controlled by unipolar PWM with one pulse per half cycle. For the fundamental rms Component of the output voltage to be $75 \%$ of DC voltage, the required pulse width in degrees (round off up to one decimal place) is ___________.
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Feb 12
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gate2019ee
numericalanswers
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9
GATE2019 EE: 39
If $\textbf{A}= 2x \textbf{i} + 3y \textbf{j} +4z \textbf{k}$ and $u=x^2+y^2+z^2$, then $\text{div} \big(u \textbf{A} \big)$ at $(1,1,1)$ is _______
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Feb 12
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gate2019ee
numericalanswers
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votes
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GATE2019 EE: 40
The probability of a resistor being deflective is $0.02$. There are $50$ such resistors in a circuit. The probability of two or more defective resistors in the circuit (round off to two decimal places) is _______________
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Feb 12
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Arjun
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gate2019ee
numericalanswers
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0
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11
GATE2019 EE: 41
A $0.1 \mu F$ capacitor charged to $100$ V is discharged through a $1 \: k \Omega$ resistor. The time in ms (round off to two decimal places) required for the voltage across the capacitor to drop to $1$ V is _________
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Feb 12
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gate2019ee
numericalanswers
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0
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12
GATE2019 EE: 42
The current $I$ flowing in the circuit shown in amperes is ____________
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Feb 12
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Arjun
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5.4k
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gate2019ee
numericalanswers
0
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0
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13
GATE2019 EE: 43
The voltage across and the current through a load are expressed as follows $v(t)=170 \sin \bigg( 377t \frac{\pi}{6} \bigg) V$ $i(t) =8 \cos \bigg( 377t + \frac{\pi}{6} \bigg) A$ The average power in watts (round off to one decimal place) consumed by the load is _________.
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Feb 12
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Arjun
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5.4k
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gate2019ee
numericalanswers
0
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14
GATE2019 EE: 44
The magnetic circuit shown below has uniform crosssectional area and air gap of $0.2$ cm. The mean path length of the core is $40$ cm. Assume that leakage and fringing fluxes are negligible. When the core relative permeability is assumed to be infinite, the ... to be $1000$ (linear), the flux density in tesla (round off to three decimal places) calculated in the air gap is _______
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Feb 12
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gate2019ee
numericalanswers
0
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15
GATE2019 EE: 45
A singlephase transformer of rating $25$ kVA, supplies a $12$ kW load at power factor of $0.6$ lagging. The additional load at unity power factor in kW (round off to two decimal places) that may be added before this transformer exceeds its rated kVA is ________
asked
Feb 12
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Arjun
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5.4k
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gate2019ee
numericalanswers
0
votes
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16
GATE2019 EE: 46
A $220$ V DC shunt motor takes $3$ A at noload. It draws $25$ A when running at fullload at $1500$ rpm. The armature and shunt resistance are $0.5 \: \Omega$ and $220 \: \Omega$, respectively. The noload speed in rpm (round off to two decimal places) is _____.
asked
Feb 12
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Arjun
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5.4k
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gate2019ee
numericalanswers
0
votes
0
answers
17
GATE2019 EE: 47
A deltaconnected, $3.7$ kW, $400$ V(line), threephase, $4$pole, $50$Hz squirrelcage induction moor has the following equivalent circuit parameters per phase referred to the stator: $R_1=5.39 \: \Omega$, $R_2=5.72 \: \Omega$ ... in amperes (round off to two decimal places) when it is connected to a $100$ V(line), $10$ Hz, threephase AC source is _______
asked
Feb 12
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Arjun
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5.4k
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gate2019ee
numericalanswers
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votes
0
answers
18
GATE2019 EE: 48
A $220$ V(line), threephase, Yconnected, synchronous motor has a synchronous impedance of $(0.25+j2.5) \: \Omega/\text{phase}$. The motor draws the rated current of $10$ A at $0.8$ pf leading. The rms value of linetoline internal voltage in volts (round off to two decimal places) is _________
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Feb 12
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gate2019ee
numericalanswers
0
votes
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answers
19
GATE2019 EE: 49
A threephase $50$ Hz, $400$ kV transmission line is $300$ km long. The line inductance is $1$ mH/km per phase, and the capacitance is $0.01 \: \mu F/km$ per phase. The line is under open circuit condition at the receiving end and energized with $400$ kV at the sending end, the receiving end line voltage in kV (round off to two decimal places) will be _________
asked
Feb 12
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Arjun
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5.4k
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gate2019ee
numericalanswers
0
votes
0
answers
20
GATE2019 EE: 50
A $30$ kV, $50$ Hz, $50$ MVA generator has the positive, negative, and zero sequence reactances of $0.25$ pu, $0.15$ pu, and $0.05$ pu, respectively. The neutral of the generator is grounded with a reactance so that the fault ... bolted threephase fault at the generator terminal are equal. The value of grounding reactance in ohms (round off to one decimal place) is ___________
asked
Feb 12
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gate2019ee
numericalanswers
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0
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21
GATE2019 EE: 51
In the single machine infinite bus system shown below, the generator is delivering the real power of $0.8$ pu at $0.8$ power factor lagging to the infinite bus. The power angle of the generator in degrees (round off to one decimal place) is _________
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Feb 12
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gate2019ee
numericalanswers
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22
GATE2019 EE: 52
In a $132$ kV system, the series inductance up to the point of circuit breaker location is $50$ mH. The shunt capacitance at the circuit breaker terminal is $0.05 \: \mu F$. The critical value of resistance in ohms required to be connected across the circuit breaker contacts which will give no transient oscillation is ______
asked
Feb 12
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gate2019ee
numericalanswers
0
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0
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23
GATE2019 EE: 53
In a DCDC boost converter, the duty ratio is controlled to regulate the output voltage at $48$ V. The input DC voltage is $24$ V. The output power is $120$ W. The switching frequency is $50$ kHz. Assume ideal components and a very ... converter operates at the boundary between continuous and discontinuous conduction modes. The value of the boost inductor (in $\mu H$) is ________
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Feb 12
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gate2019ee
numericalanswers
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24
GATE2019 EE: 54
A fullycontrolled threephase bridge converter is working from a $415$ V, $50$ Hz AC supply. It is supplying constant current of $100$ A a $400$ V to a DC load. Assume large inductive smoothing and neglect overlap. The rms value of the AC line current in amperes (round off to two decimal places) is _______
asked
Feb 12
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Arjun
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5.4k
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gate2019ee
numericalanswers
0
votes
0
answers
25
GATE2019 EE: 55
A singlephase fullycontrolled thyristor converter is used to obtain an average voltage of $180$ V with $10$ A constant current to feed a DC load. It is fed from singlephase AC supply of $230$ V, $50$ Hz. Neglect the source impedance. The power factor (round off to two decimal places) of AC mains is _________
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Feb 12
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gate2019ee
numericalanswers
0
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0
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26
GATE2014354
A diode circuit feeds an ideal inductor as shown in the figure. Given $v_s$=100 sin($w_t$) $V$ where $ω$ = $100\pi$ $rad/s$, and $L$ = $31.83$ $mH$. The initial value of inductor current is zero. Switch $S$ is closed at $t$ = $2.5$ $ms$. The peak value of inductor current $i_L$ (in $A$) in the first cycle is ________.
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
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gate2014ee3
timeresponse
peakvalue
numericalanswers
0
votes
0
answers
27
GATE2014352
A hysteresis type $TTL$ inverter is used to realize an oscillator in the circuit shown in the figure. If the lower and upper trigger level voltages are $0.9$ $V$ and $1.7$ $V$, the period (in $ms$), for which output is $LOW$, is __________.
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
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9.2k
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gate2014ee3
triggerlevel
oscillator
numericalanswers
0
votes
0
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28
GATE2014348
In the bridge circuit shown, the capacitors are loss free. At balance, the value of capacitance $C_1$ in microfarad is _________.
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.2k
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gate2014ee3
bridgecircuit
source
numericalanswers
0
votes
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29
GATE2014343
The figure shows the single line diagram of a single machine infinite bus system. The inertia constant of the synchronous generator $H$=$5$ $MWs$/$MVA$. Frequency is$50$ $Hz$. Mechanical power is $1$ $pu$. The system is operating at the stable equilibrium point with rotor ... of fault clearing are $45^{\circ}$ and $3.762$ $radian/s$ respectively, then $P_{max}$ (in $pu$) is _______.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
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9.2k
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gate2014ee3
linediagrams
faultanalysis
numericalanswers
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30
GATE2014342
The complex power consumed by a constantvoltage load is given by ($P_1$+$jQ_1$), where, $1$ $kW$ ≤$P_1$≤$1.5$ $kW$ and $0.5$ $kVAR$≤ $Q_1$≤ $1$ $kVAR$. A compensating shunt capacitor is chosen such that $Q$≤$0.25$ $kVAR$, where $Q$ is the net reactive power consumed by the capacitorload combination. The reactive power (in $kVAR$) supplied by the capacitor is _________.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
capacitorloadcombination
numericalanswers
0
votes
0
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31
GATE2014341
For a $400$ $km$ long transmission line, the series impedance is ($0.0$ + $j0.5$) $Ω/km$ and the shunt admittance is ($0.0$ + $j5.0$) $μmho$/$km$. The magnitude of the series impedance (in $\Omega$) of the equivalent $\pi$ circuit of the transmission line is ________.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
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9.2k
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gate2014ee3
long
transmission
line
series
impedance
numericalanswers
0
votes
0
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32
GATE2014339
The load shown in the figure absorbs $4$ $kW$ at a power factor of $0.89$ lagging. Assuming the transformer to be ideal, the value of the reactance $X$ to improve the input power factor to unity is ___________.
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.2k
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gate2014ee3
losslesstransformer
transformationratio
numericalanswers
0
votes
0
answers
33
GATE2014329
The Norton’s equivalent source in amperes as seen into the terminals $X$ and $Y$ is _______.
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
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9.2k
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gate2014ee3
thevenins
theorem
nortonstheorem
numericalanswers
0
votes
0
answers
34
GATE2014338
A separately excited $300$ $V$ $DC$ shunt motor under no load runs at $900$ $rpm$ drawing an armature current of $2$ $A$. The armature resistance is $0.5$ $Ω$ and leakage inductance is $0.01$ $H$. When loaded, the armature current is $15$ $A$. Then the speed in $rpm$ is _____
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
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9.2k
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gate2014ee3
seriesconnection
synchronousspeed
numericalanswers
0
votes
0
answers
35
GATE2014337
A nonsalient pole synchronous generator having synchronous reactance of $0.8$ $pu$ is supplying $1$ $pu$ power to a unity power factor load at a terminal voltage of $1.1$ $pu$. Neglecting the armature resistance, the angle of the voltage behind the synchronous reactance with respect to the angle of the terminal voltage in degrees is ________.
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
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9.2k
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gate2014ee3
pitchfactor
distributionfactor
numericalanswers
0
votes
0
answers
36
GATE2014330
The power delivered by the current source, in the figure, is ________.
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
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9.2k
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gate2014ee3
currentsource
negativepower
numericalanswers
0
votes
0
answers
37
GATE2014328
The function $f(x)=e^x1$ is to be solved using NewtonRaphson method. If the initial value of $x_0$ is taken as $1.0$, then the absolute error observed at $2^{nd}$ iteration is _______.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
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9.2k
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gate2014ee3
linelosses
iterativemethod
numericalanswers
0
votes
0
answers
38
GATE2014319
An $LPF$ wattmeter of power factor $0.2$ is having three voltage settings $300 V$, $150 V$ and $75 V$, and two current settings $5 A$ and $10 A$. The full scale reading is $150$. If the wattmeter is used with $150 V$ voltage setting and $10 A$ current setting, the multiplying factor of the wattmeter is _________.
asked
Feb 12, 2017
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new
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makhdoom ghaya
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9.2k
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gate2014ee3
powermeasurement
currentrating
numericalanswers
0
votes
0
answers
39
GATE2014316
A $183$bus power system has $150$ $PQ$ buses and $32$ $PV$ buses. In the general case, to obtain the load flow solution using NewtonRaphson method in polar coordinates, the minimum number of simultaneous equations to be solved is ___________.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
slackbus
linelosses
numericalanswers
0
votes
0
answers
40
GATE2014313
The noload speed of a $230$ $V$ separately excited $dc$ motor is $1400$ $rpm$. The armature resistance drop and the brush drop are neglected. The field current is kept constant at rated value. The torque of the motor in $Nm$ for an armature current of $8$ $A$ is ____________.
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
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9.2k
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gate2014ee3
excitation
armaturewinding
tarque
numericalanswers
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