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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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2
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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1.4k
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3
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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4
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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jothee
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1.4k
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gate2020ee
0
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0
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5
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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jothee
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1.4k
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gate2020ee
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6
GATE2020EE36
Consider a negative unity feedback system with the forward path transfer function $\large\frac{s^{2}+s+1}{s^{3}+2s^{2}+2s+K},$ where $\text{K}$ is a positive real number. The value of $\text{K}$ for which the system will have some of its poles on the imaginary axis is ____________. $9$ $8$ $7$ $6$
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Feb 28
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jothee
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1.4k
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7
GATE2020EE37
Suppose for input $x(t)$ a linear timeinvariant system with impulse response $h(t)$ produces output $y(t)$,so that $x\left ( t \right )*h\left ( t \right )=y\left ( t \right )$ ... $t\:\in \left ( \infty, \infty \right ),z\left ( t \right )\geq y\left ( t \right )$
asked
Feb 28
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jothee
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1.4k
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gate2020ee
0
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8
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
asked
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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9
GATE2020EE39
Which of the following options is true for a linear timeinvariant discrete time system that obeys the difference equation: $y\left [ n \right ]ay\left [ n1 \right ]=b_{0}x\left [ n \right ]b_{1}x\left [ n1 \right ]$ $y[n]$ ... $y\left [ n \right];n > 0$ is solely determined by the function $x[n]$.
asked
Feb 28
in
new
by
jothee
(
1.4k
points)
gate2020ee
0
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0
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10
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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1.4k
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gate2020ee
0
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11
GATE2020EE41
A stable real linear timeinvariant system with single pole at $\text{p}$, has a transfer function $H\left ( s \right )=\large\frac{s^{2}+100}{sp}$ with a $\text{dc}$ gain of $5$. The smallest positive frequency, in $\text{rad/s}$, at unity gain is closest to: $8.84$ $11.08$ $78.13$ $122.87$
asked
Feb 28
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jothee
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1.4k
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12
GATE2020EE42
The number of purely real elements in a lower triangular representation of the given $3\times 3$ ... $5$ $6$ $8$ $9$
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Feb 28
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jothee
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1.4k
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13
GATE2020EE43
The figure below shows the perphase Open Circuit Characteristics (measured in $\text{V}$) and Short Circuit Characteristics (measured in $\text{A}$) of a $\text{14 kVA}$, $\text{400 V}$, $\text{50 Hz}$, $4$pole, $3$phase, delta connected alternator, driven at $1500$ ... $2.100$ $2.025$ $2.000$ $1.000$
asked
Feb 28
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jothee
(
1.4k
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gate2020ee
0
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14
GATE2020EE44
Let $a_{x}$ and $a_{y}$ be unit vectors along $x$ and $y$ directions, respectively. A vector function is given by $F=a_{x}ya_{y}x$ The line integral of the above function $\int _{C}F.dl$ along the curve $\textbf{C}$, which follows the parabola $y=x^{2}$ as shown below is ___________ (rounded off to $2$ decimal places).
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Feb 28
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jothee
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1.4k
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0
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15
GATE2020EE45
A resistor and a capacitor are connected in series to a $\text{10 V dc}$ supply through a switch. The switch is closed at $\text{t = 0}$, and the capacitor voltage is found to cross $\text{0 V}$ at $t=0.4\tau$, where $\tau$ is the ... in the initial capacitor voltage if the zero crossing has to happen at $t=0.2\tau$ is _______________________ (rounded off to $2$ decimal places).
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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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16
GATE2020EE46
A cylindrical rotor synchronous generator with constant real power output and constant terminal voltage is suppling $\text{100 A}$ current to a $0.9$ lagging power factor load. An ideal reactor is now connected in parallel with the load, as a result of ... the real power remains unchanged. The armature current is now ___________________ $\text{A}$ (rounded off to $2$ decimal places).
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Feb 28
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jothee
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1.4k
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17
GATE2020EE47
Bus 1 with voltage magnitude $\text{$V_{1}=1.1$ pu}$ is sending reactive power $Q_{12}$ towards bus 2 with voltage magnitude $\text{$V_{2}=1$ pu}$ through a lossless transmission line of reactance $X$. Keeping the voltage at bus $2$ ... value of the voltage magnitude, $V_{1}$, in $\text{pu}$ ( rounded off to $2$ decimal places), at bus $1$ is___________________.
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Feb 28
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jothee
(
1.4k
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gate2020ee
0
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18
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 _______________.
asked
Feb 28
in
Others
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jothee
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1.4k
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0
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19
GATE2020EE49
A cylindrical rotor synchronous generator has steady state synchronous reactance of $\text{0.7 pu}$ and subtransient reactance of $\text{0.2 pu}$. It is operating at $\left ( 1+j0 \right )$ $\text{pu}$ terminal voltage with an internal $\text{emf}$ ... generator, the magnitude of the subtransient internal $\text{emf}$ (rounded off to $2$ decimal places) is ____________ $\text{pu}$.
asked
Feb 28
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jothee
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1.4k
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20
GATE2020EE50
In the $\text{dcdc}$ converter circuit shown, switch $\text{Q}$ is switched at a frequency of $\text{10 kHz}$ with a duty ratio of $0.6$. All components of the circuit are ideal, and the initial current in the inductor is zero. Energy stored in the inductor in $\text{mJ}$ (rounded off to $2$ decimal places) at the end of $10$ complete switching cycles is _________.
asked
Feb 28
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1.4k
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0
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21
GATE2020EE51
A singlephase, fullbridge, fully controlled thyristor rectifier feeds a load comprising a $10$ $\Omega$ resistance in series with a very large inductance. The rectifier is fed from an ideal $\text{230 V}$, $\text{50 Hz}$ sinusoidal source through cables ... angle $\alpha =45^{\circ}$ , the commutation overlap angle in degree (rounded off to $2$ decimal places) is _______________.
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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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22
GATE2020EE52
A nonideal $\text{Si}$based $\text{pn}$ junction diode is tested by sweeping the bias applied across its terminals from $5\:V\:to\:+5\:V$ . The effective thermal voltage, $V_{T}$, for the diode is measured to be $( 29\pm 2)mV$ . The ... . The percentage uncertainty (rounded off to $2$ decimal places) in the measured current at a bias voltage of $\text{0.02 V}$ is ____________.
asked
Feb 28
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jothee
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1.4k
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23
GATE2020EE53
The temperature of the coolant oil bath for a transformer is monitored using the circuit shown. It contains a thermistor with a temperaturedependent resistance, $R_{thermistor}=2\left ( 1+\alpha\:T \right )k\Omega$, where $\text{T}$ is the temperature in $^{\circ}C$. ... error in the output signal (in $\text{V}$ , rounded off to $2$ decimal places) at $150^{\circ}C$ is ____________.
asked
Feb 28
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1.4k
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24
GATE2020EE54
An $8085$ microprocessor acesses two memory locations $\text{(2001H)}$ and $\text{(2002H)}$, that contain $8$bit numbers $\text{98H}$ and $\text{B1H}$, respectively. The following program is executed: $\text{LXI H,2001H}$ $\text{MVI A, 21 H}$ ... $\text{2003H}$ contains the number in decimal $\text{(base 10)}$ form _____________.
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Feb 28
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1.4k
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0
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0
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25
GATE2020EE55
A conducting square loop of side length $1\:m$ is placed at a distance of $1\:m$ from a long straight wire carrying a current $I = 2 A$ as shown below. The mutual inductance, in $nH$ (rounded off to $2$ decimal places), between the conducting loop and the long wire is __________.
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Feb 28
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26
Gate2006EE
...
asked
Sep 29, 2019
in
Linear Algebra
by
Kushagra गुप्ता
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120
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gate2006ee
linearalgebra
0
votes
1
answer
27
GATE2019 EE: GA1
I am not sure if the bus that has been booked will be able to ______ all the students. sit deteriorate fill accommodate
asked
Feb 12, 2019
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
mostappropriateword
0
votes
1
answer
28
GATE2019 EE: GA2
The passengers were angry ______ the airline staff about the delay. on about with towards
asked
Feb 12, 2019
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
prepositions
0
votes
0
answers
29
GATE2019 EE: GA3
The missing number in the given sequence $343,1331,$_____$,4913$ is $3375$ $2744$ $2197$ $4096$
asked
Feb 12, 2019
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
sequenceseries
0
votes
0
answers
30
GATE2019 EE: GA4
It takes two hours for a person $X$ to mow the lawn. $Y$ can mow the same lawn in four hours. How long (in minutes) will it take $X$ and $Y,$ if they work together to mow the lawn$?$ $60$ $80$ $90$ $120$
asked
Feb 12, 2019
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
worktime
0
votes
1
answer
31
GATE2019 EE: GA5
Newspapers are a constant source of delight and recreation for me. The ________ trouble is that I read _______ many of them. even, quite even, too only, quite only, too
asked
Feb 12, 2019
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
mostappropriateword
0
votes
0
answers
32
GATE2019 EE: GA6
How many integers are there between $100$ and $1000$ all of whose digits are even? $60$ $80$ $100$ $90$
asked
Feb 12, 2019
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
arithmeticseries
0
votes
0
answers
33
GATE2019 EE: GA7
The ration of the number of boys and girls who participated in an examination is $4:3.$ The total percentage of candidates who passed the examination is $80$ and the percentage of girls who passed the exam is $90.$ The percentage of boys who passed is _______. $55.50$ $72.50$ $80.50$ $90.00$
asked
Feb 12, 2019
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
ratioproportion
percentage
0
votes
0
answers
34
GATE2019 EE: GA8
An awardwinning study by a group of researchers suggests that men are as prone to buying on impulse as women but women feel more guilty about shopping. which one of the following statements can be inferred from the given text? Some men and women indulge ... indulge in buying on impulse Few men and women indulge in buying on impulse Many men and women indulge in buying on impulse
asked
Feb 12, 2019
in
Verbal Ability
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Arjun
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5.4k
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gate2019ee
generalaptitude
verbalability
passagereading
0
votes
0
answers
35
GATE2019 EE: GA9
Given two sets $X=\{1,2,3\}$ and $Y=\{2,3,4\},$ we construct a set $Z$ of all possible fractions where the numerators belong to set $X$ and the denominators belong to set $Y.$ The product of elements having minimum and maximum values in the set $Z$ is _____. $1/12$ $1/8$ $1/6$ $3/8$
asked
Feb 12, 2019
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
sets
0
votes
0
answers
36
GATE2019 EE: GA10
Consider five people Mita, Ganga, Rekha, Lakshmi, and Sana. Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga. Which of the following conclusions are true? Lakshmi is taller than Rekha Rekha is shorter than Mita Rekha is taller than Sana Sana is shorter than Ganga $1$ and $3$ $3$ only $2$ and $4$ $1$ only
asked
Feb 12, 2019
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
verbalreasoning
0
votes
0
answers
37
GATE2019 EE: 1
The inverse Laplace transform of $H(s)=\frac{s+3}{s^{2}+2s+1}$ for $t \geq0$ $3te^{t}+e^{t}$ $3e^{t}$ $2te^{t}+e^{t}$ $4te^{t}+e^{t}$
asked
Feb 12, 2019
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Arjun
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5.4k
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gate2019ee
0
votes
0
answers
38
GATE2019 EE: 3
The partial differential equation $\frac{\partial^{2}u}{\partial t^{2}} C^{2} \bigg( \frac{\partial^{2}u}{\partial x^{2}}+\frac{\partial^{2}u}{\partial y^{2}} \bigg )=0;$ where $c \neq 0$ is known as heat equation wave equation Poisson’s equation Laplace equation
asked
Feb 12, 2019
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Arjun
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5.4k
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gate2019ee
0
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0
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39
GATE2019 EE: 4
Which one of the following functions is analytic in the region $\mid z \mid \leq 1$ ? $\frac{z^{2}1}{z} \\ $ $\frac{z^{2}1}{z+2} \\ $ $\frac{z^{2}1}{z0.5} \\ $ $\frac{z^{2}1}{z+j0.5} $
asked
Feb 12, 2019
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Arjun
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5.4k
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gate2019ee
0
votes
0
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40
GATE2019 EE: 5
The meansquare of a zeromean random process is $\frac{kT}{c},$ where $k$ is Boltzmann’s constant, $T$ is the absolute temperature, and $C$ is a capacitance. The standard deviation of the random process is $\frac{kT}{c} \\ $ $\sqrt{\frac{kT}{c}} \\ $ $\frac{c}{kT} \\ $ $\frac{\sqrt{kT}}{c}$
asked
Feb 12, 2019
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Arjun
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gate2019ee
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