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0
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1
GATE2017227
The value of the contour integral in the complex plane $\oint \frac{z^{3}2z+3}{z2} dz$ along the contour $\mid z \mid =3$, taken counter clockwise is $18 \pi i$ $0$ $14 \pi i$ $48 \pi i$
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Feb 27, 2017
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gate2017ee2
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2
GATE2017154
The positive, negative, and zero sequence reactances of a wyeconnected synchronous generator are $0.2$pu, $0.2$pu, and $0.1$pu, respectively. The generator is an open circuit with a terminal voltage of $1$pu. The minimum value of the inductive ... ground fault occurs at the terminals is ___________ (assume fault impedance to be zero). (Give the answer up to one decimal place.)
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numericalanswers
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3
GATE2017143
In the circuit shown below, the maximum power transferred to the resistor $R$ is ______ W.
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Feb 27, 2017
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gate2017ee1
numericalanswers
0
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4
GATE2017140
The bus admittance matrix for a power system network is $\begin{bmatrix} j39.9 & j20 & j20\\ j20 & j39.9 & j20 \\ j20 & j20 & j39.9 \end{bmatrix} pu.$ There is a transmission line, connected between buses $1$ and $3$, which is represented by ...
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Feb 27, 2017
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gate2017ee1
0
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5
GATE2017127
Consider the differential equation $(t^{2}81)\frac{dy}{dt}+5t y=\sin(t)$ with $y(1)=2 \pi$. There exists a unique solution for this differential equation when $t$ belongs to the interval $(2, 2)$ $(10, 10)$ $(10, 2)$ $(0, 10)$
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Feb 27, 2017
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Arjun
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gate2017ee1
0
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6
GATE2017111
A closed loop system has the characteristic equation given by $s^{3}+Ks^{2}+(K+2)s+3=0$. For this system to be stable, which one of the following conditions should be satisfied? $0 < K < 0.5$ $0.5 < K < 1$ $0 < K < 1$ $K > 1$
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Feb 27, 2017
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gate2017ee1
0
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7
GATE2014323
In $8085A$ microprocessor, the operation performed by the instruction $LHLD$ $2100_H$ is $(H)\leftarrow 21_H$ , $(L)\leftarrow 00_H$ $(H)\leftarrow M(2100_H)$ , $(L)\leftarrow M(2101_H)$ $(H)\leftarrow M(2101_H)$ , $(L)\leftarrow M(2100_H)$ $(L)\leftarrow 00_H$ , $(H)\leftarrow 21_H$
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
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9.3k
points)
gate2014ee3
binarycode
processing
0
votes
0
answers
8
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 _________.
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Feb 12, 2017
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makhdoom ghaya
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gate2015ee2
numericalanswers
0
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0
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9
GATE2015249
A threephase, $11$ kV, $50$ Hz, $2$ pole, star connected, cylindrical rotor synchronous motor is connected to an $11$ kV, $50$ Hz source. Its synchronous reactance is $50 \Omega$ per phase, and its stator resistance is negligible. The motor has a ... the load torque is increased so that the stator current is $120$ A, then the load angle (in degrees) at this load is __________.
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Feb 12, 2017
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gate2015ee2
numericalanswers
0
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0
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10
GATE2015248
With an armature voltage of $100$ V and rated field winding voltage, the speed of a separately excited $DC$ motor driving a fan is $1000$ rpm, and its armature current is $10$ A. The armature resistance is $1 \Omega$. The load torque of the ... speed. Neglecting rotational losses, the value of the armature voltage (in Volt) which will reduce the rotor speed to $500$ rpm is _________.
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Feb 12, 2017
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makhdoom ghaya
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gate2015ee2
numericalanswers
0
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0
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11
GATE2015243
A balanced (positive sequence) threephase $AC$ voltage source is connected to a balanced, star connected load through a stardelta transformer as shown in the figure. The linetoline voltage rating is $230$ V on the star side, and $115$ V on the delta side. If the magnetizing current is ... $50\angle 30$° $50\angle 30$° $50\sqrt{3}\angle 30$° $200\angle 30$°
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Feb 12, 2017
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9.3k
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gate2015ee2
0
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0
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12
GATE2015241
A composite conductor consists of three conductors of radius $R$ each. The conductors are arranged as shown below. The geometric mean radius $(GMR)$ (in cm) of the composite conductor is $kR$. The value of $k$ is __________.
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Feb 12, 2017
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makhdoom ghaya
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gate2015ee2
numericalanswers
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13
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 $\frac{dC_{1}}{dP_{1}}=0.2P_{1}+50$ $\frac{dC_{2}}{dP_{2}}=0.24P_{2}+40$ ... 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 ________.
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Feb 12, 2017
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gate2015ee2
numericalanswers
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0
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14
GATE2015239
The saturation voltage of the ideal opamp shown below is $\pm 10$ V. The output voltage $v_{0}$ 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
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Feb 12, 2017
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gate2015ee2
0
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15
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 $\frac{Q^{2}}{4\pi \in_{0}} \frac{Q}{d^{2}}$, where $K$ is given by $0$ ... $\frac{12\sqrt{2}}{8\sqrt{2}} \hat{t}+\frac{12\sqrt{2}}{8\sqrt{2}} \hat{j}$
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Feb 12, 2017
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gate2015ee2
0
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16
GATE20152GA10
Four branches of a company are located at $M, N, O$ and $P, M$ is north of $N$ at a distance of $4$ km; $P$ is south of $O$ at a distance of $2$ km; $N$ is southeast of $O$ by $1$ km. What is the distance between $M$ and $P$ in km? $5.34$ $6.74$ $28.5$ $45.49$
asked
Feb 12, 2017
in
Numerical Ability
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
analytical
generalmathematics
0
votes
0
answers
17
GATE20152GA7
In a triangle $PQR$, $PS$ is the angle bisector of $\angle QPR$ and $\angle QPS$ = $60$°. What is the length of $PS$ ? $\frac{(q+r)}{qr}$ $\frac{qr}{(q+r)}$ $\sqrt{(q^{2}+r^{2})}$ $\frac{(q+r)^{2}}{qr}$
asked
Feb 12, 2017
in
Numerical Ability
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makhdoom ghaya
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9.3k
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gate2015ee2
geometry
generalmathematics
0
votes
0
answers
18
GATE20152GA4
Based on the given statement, select the most appropriate option to solve the given question. What will be the total weight of 10 poles each of same weight? Statements: (I) One fourth of the weight of a pole is $5$ Kg. (II) The total weight of these ... $I$ or $II$ alone is sufficient. Both statements $I$ and $II$ together are not sufficient.
asked
Feb 12, 2017
in
Numerical Ability
by
makhdoom ghaya
(
9.3k
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gate2015ee2
analytical
logical
0
votes
0
answers
19
GATE2015138
$f(A, B, C, D)$ = $\pi M(0,1,3,4,5,7,9,11,12,13,14,15)$ is a maxterm representation of a Boolean function $f (A, B, C, D)$ where $A$ is the $MSB$ and $D$ is the $LSB$. The equivalent minimized representation of this function is $(A +\bar{C}+D) (\bar{A}+B+D)$ ... $(B+\bar{C}+D) (A+\bar{B}+\bar{C}+D) (\bar{A}+B+C+D)$
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
logicgates
booleanalgebra
0
votes
0
answers
20
GATE2015112
A steady current $I$ is flowing in the $x$ direction through each of two infinitely long wires at $y = ± \frac{L}{2}$ as shown in the figure. The permeability of the medium is $\mu_{0}$. The $\vec{B}$field at $(0,L,0)$ is $\frac{4\mu _{0}I}{3\Pi L} \hat{Z}$ $+\frac{4\mu _{0}I}{3\Pi L} \hat{Z}$ $0$ $\frac{3\mu _{0}I}{4\Pi L} \hat{Z}$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
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gate2015ee1
permeability
steadycurrent
0
votes
0
answers
21
GATE20151GA9
The probabilities that a student passes in Mathematics, Physics, and Chemistry are $m, p,$ and $c$ respectively. Of these subjects, the student has $75$% chance of passing in at least one, a $50$% chance of passing in at least two and a $40$% chance of passing in ... $I$ is true. Only relation $II$ is true. Relations $II$ and $III$ are true. Relations $I$ and $III$ are true.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
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9.3k
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gate2015ee1
events
samplespace
0
votes
0
answers
22
GATE20151GA5
Given set $A=\left\{ 2, 3, 4, 5\right\}$ and set $B=\left\{ 11, 12, 13, 14, 15\right\}$, two numbers are randomly selected, one from each set. What is the probability that the sum of two numbers equal $16$? $0.20$ $0.25$ $0.30$ $0.33$
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
samplespace
events
0
votes
0
answers
23
GATE2016226
The Boolean expression $\overline{(a+\bar{b}+c+\bar{d})+(b+\bar{c})}$ simplifies to $1$ $\overline{a.b}$ $a.b$ $0$
asked
Jan 30, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
booleanalgebra
demorgan'stheorem
absorptiontheorem
0
votes
0
answers
24
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
(
9.3k
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gate2016ee1
numberofnonzerorows
gaussreduction
gausselimination
0
votes
0
answers
25
GATE2016115
$R_{A}$ and $R_{B}$ are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the following statements is TRUE? $R_{A}=R_{B}$ $R_{A}=R_{B}=0$ $R_{A}< R_{B}$ $R_{B}= R_{A} /(1+R_{A})$
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
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gate2016ee1
circuitreduction
seriescombination
parallelcombination
0
votes
0
answers
26
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
(
9.3k
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gate2016ee1
notgate
multiplexer
logiccircuits
0
votes
0
answers
27
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 $8$ $10$ $12$ $14$
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Jan 30, 2017
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makhdoom ghaya
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9.3k
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gate2016ee1
analogtodigitalconverter
sampling
microcontroller
0
votes
0
answers
28
GATE2020EE31
A nonideal diode is biased with a voltage of $\text{0.03 V}$, and a diode current of $I_{1}$ is measured. The thermal voltage is $\text{26 mV}$ and the ideality factor for the diode is $15/13$. The voltage, in $\text{V}$, at which the measured current increases to $1.5I_{1}$ is closest to: $0.02$ $0.09$ $1.50$ $4.50$
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Feb 28
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jothee
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1.4k
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gate2020ee
0
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0
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29
GATE2020EE32
A benchtop dc power supply acts as an ideal $\text{4 A}$ current source as long as its terminal voltage is below $\text{10 V}$. Beyond this point, it begins to behave as an ideal $\text{10 V}$ voltage source for all load currents going down to $\text{0 A}$. When connected to an ideal rheostat, ... $\text{2.5 $\Omega$, 4 A, 10 V}$ $\text{2.5 $\Omega$, 4 A , 5 V}$
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Feb 28
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jothee
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1.4k
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gate2020ee
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30
GATE2020EE33
The static electric field inside a dielectric medium with relative permittivity, $\varepsilon _{r}=2.25$, expressed in cylindrical coordinate system is given by the following expression $E=a_{r}2r+a_{\varphi }\left ( \frac{3}{r} \right )+a_{z}6$ ... $3\varepsilon _{0}$ $4\varepsilon _{0}$ $5\varepsilon _{0}$ $9\varepsilon _{0}$
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Feb 28
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jothee
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1.4k
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gate2020ee
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31
GATE2020EE34
Consider a permanent magnet dc $\text{(PMDC)}$ motor which is initially at rest. At $\text{t=0}$, a dc voltage of $\text{5 V}$ is applied to the motor. Its speed monotonically increase from $\text{0 rad/s}$ to $\text{6.32 rad/s}$ in $\text{0.5 s}$ ... is $\large\frac{10}{0.5s+1}$ $\large\frac{2}{0.5s+1}$ $\large\frac{2}{s+0.5}$ $\large\frac{10}{s+0.5}$
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Feb 28
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gate2020ee
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32
GATE2020EE35
Which of the following options is correct for the system shown below? $\text{$4^{th}$ order and stable}$ $\text{$3^{rd}$ order and stable}$ $\text{$4^{th}$ order and unstable}$ $\text{$3^{rd}$ order and unstable}$
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Feb 28
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gate2020ee
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0
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33
GATE2020EE38
The causal realization of a system transfer function $\text{H(s)}$ having poles at $(2,1), (2,1)$ and zeroes at $(2,1), (2,1)$ will be stable, real, allpass unstable, complex, allpass unstable, real, highpass stable, complex, lowpass
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Feb 28
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34
GATE2020EE40
Let $a_{r},\:a_{\phi }\:and\:a_{z}$ be unit vectors along $r,\:\phi\:and\:z$ directions, respectively in the cylindrical coordinate system. For the electric flux density given by $D=\left ( a_{r}15+a_{\phi } 2r  a_{z} 3rz \right )\:Coulomb/m^{2}$, the total electric ... $\text{z}$axis with its base at the origin is: $54\:\pi$ $90\:\pi$ $108\:\pi$ $180\:\pi$
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Feb 28
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jothee
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gate2020ee
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35
GATE2020EE48
Windings $\text{ A','B' and C'}$ have $20$ turns each and are wound on the same iron core as shown, along with winding $\text{ X'}$ which has $2$ turns. The figure shows the sense (clockwise/anticlockwise) of each of the windings only and does not ... load $\text{RMS}$ voltage (in $\text{V}$, rounded off to $2$ decimal places) across winding $\text{ X'}$ is _______________.
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Feb 28
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Others
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gate2020ee
0
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0
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36
GATE201228
If $V_A – V_B =6$ V, then $V_C – V_D $ is $5$ V $2$ V $3$ V $6$ V
asked
Mar 24, 2018
in
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Andrijana3306
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gate2012ee
0
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0
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37
GATE201221
The figure shows a twogenerator system supplying a load of $P_D = 40$ MW, connected at bus $2$. The fuel cost of generations $G_1$ and $G_2$ are: $C_1(P_{G1})=10,000$ Rs/MWh and $C_2(P_{G2})=12,500$ Rs/MWh and the loss in the line is $P_{\text{loss(pu)}}=0.5 \: P_{G1(pu)}^2$, where ... $P_{G1}=20$, $P_{G2}=22$ $P_{G1}=22$, $P_{G2}=20$ $P_{G1}=20$, $P_{G2}=20$ $P_{G1}=0$, $P_{G2}=42$
asked
Mar 24, 2018
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Andrijana3306
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gate2012ee
0
votes
0
answers
38
GATE201728
Two resistors with nominal resistance values $R_{1}$ and $R_{2}$ have additive uncertainties $\bigtriangleup R_{1}$ and $\bigtriangleup R_{2}$, respectively. When these resistances are connected in parallel, the standard deviation of the error in the equivalent resistance $R$ ...
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Feb 27, 2017
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Arjun
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gate2017ee2
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39
GATE2017138
The input voltage $V_{DC}$ of the buckboost converter shown below varies from $32$V to $72$V. Assume that all components are ideal, inductor current is continuous, and output voltage is ripple free. The range of duty ratio $D$ of the converter for which the magnitude of the steadystate output ... $0 \leq D \leq 1$ $\frac{1}{3}\leq D \leq \frac{2}{3}$
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Feb 27, 2017
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5.4k
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gate2017ee1
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40
GATE2017136
The output expression for the Karnaugh map shown below is $B \overline{D}+BCD$ $B \overline{D}+AB$ $\overline{B}D+ABC$ $B \overline{D}+ABC$
asked
Feb 27, 2017
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gate2017ee1
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