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1

GATE2020-EE-31
A non-ideal 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: $-0.02$ $-0.09$ $-1.50$ $-4.50$

asked Feb 28 in new by jothee (1.4k points)

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2

GATE2020-EE-32
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}$

asked Feb 28 in new by jothee (1.4k points)

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3

GATE2020-EE-33
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 $E=a_{r}2r+a_{\varphi }\left ( \frac{3}{r} \right )+a_{z}6$ ... $3\varepsilon _{0}$ $4\varepsilon _{0}$ $5\varepsilon _{0}$ $9\varepsilon _{0}$

asked Feb 28 in new by jothee (1.4k points)

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4

GATE2020-EE-34
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 $\large\frac{10}{0.5s+1}$ $\large\frac{2}{0.5s+1}$ $\large\frac{2}{s+0.5}$ $\large\frac{10}{s+0.5}$

asked Feb 28 in new by jothee (1.4k points)

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5

GATE2020-EE-35
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}$

asked Feb 28 in new by jothee (1.4k points)

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6

GATE2020-EE-36
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 ____________. $9$ $8$ $7$ $6$

asked Feb 28 in new by jothee (1.4k points)

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7

GATE2020-EE-37
Suppose for input $x(t)$ a linear time-invariant 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 in new by jothee (1.4k points)

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8

GATE2020-EE-38
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 in new by jothee (1.4k points)

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9

GATE2020-EE-39
Which of the following options is true for a linear time-invariant discrete time system that obeys the difference equation: $y\left [ n \right ]-ay\left [ n-1 \right ]=b_{0}x\left [ n \right ]-b_{1}x\left [ n-1 \right ]$ $y[n]$ ... $y\left [ n \right];n > 0$ is solely determined by the function $x[n]$.

asked Feb 28 in new by jothee (1.4k points)

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10

GATE2020-EE-40
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: $54\:\pi$ $90\:\pi$ $108\:\pi$ $180\:\pi$

asked Feb 28 in new by jothee (1.4k points)

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11

GATE2020-EE-41
A stable real linear time-invariant system with single pole at $\text{p}$, has a transfer function $H\left ( s \right )=\large\frac{s^{2}+100}{s-p}$ 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 in new by jothee (1.4k points)

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12

GATE2020-EE-42
The number of purely real elements in a lower triangular representation of the given $3\times 3$ ... $5$ $6$ $8$ $9$

asked Feb 28 in new by jothee (1.4k points)

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13

GATE2020-EE-43
The figure below shows the per-phase 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 in new by jothee (1.4k points)

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14

GATE2020-EE-44
Let $a_{x}$ and $a_{y}$ be unit vectors along $x$ and $y$ directions, respectively. A vector function is given by $F=a_{x}y-a_{y}x$ 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).

asked Feb 28 in new by jothee (1.4k points)

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15

GATE2020-EE-45
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).

asked Feb 28 in new by jothee (1.4k points)

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16

GATE2020-EE-46
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).

asked Feb 28 in new by jothee (1.4k points)

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17

GATE2020-EE-47
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___________________.

asked Feb 28 in new by jothee (1.4k points)

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18

GATE2020-EE-48
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/anti-clockwise) 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 by jothee (1.4k points)

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19

GATE2020-EE-49
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 in new by jothee (1.4k points)

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20

GATE2020-EE-50
In the $\text{dc-dc}$ 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 in new by jothee (1.4k points)

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21

GATE2020-EE-51
A single-phase, full-bridge, 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 _______________.

asked Feb 28 in new by jothee (1.4k points)

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22

GATE2020-EE-52
A non-ideal $\text{Si}$-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 in new by jothee (1.4k points)

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23

GATE2020-EE-53
The temperature of the coolant oil bath for a transformer is monitored using the circuit shown. It contains a thermistor with a temperature-dependent 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 in new by jothee (1.4k points)

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24

GATE2020-EE-54
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 _____________.

asked Feb 28 in new by jothee (1.4k points)

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25

GATE2020-EE-55
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 __________.

asked Feb 28 in new by jothee (1.4k points)

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26

Gate2006-EE
...

asked Sep 29, 2019 in Linear Algebra by Kushagra गुप्ता (120 points)

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27

GATE2019 EE: GA-1
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)

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28

GATE2019 EE: GA-2
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)

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29

GATE2019 EE: GA-3
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)

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30

GATE2019 EE: GA-4
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)

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31

GATE2019 EE: GA-5
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)

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32

GATE2019 EE: GA-6
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)

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33

GATE2019 EE: GA-7
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)

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34

GATE2019 EE: GA-8
An award-winning 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 by Arjun (5.4k points)

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35

GATE2019 EE: GA-9
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)

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36

GATE2019 EE: GA-10
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)

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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 in new by Arjun (5.4k points)

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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 in new by Arjun (5.4k points)

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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}{z-0.5} \\ $ $\frac{z^{2}-1}{z+j0.5} $

asked Feb 12, 2019 in new by Arjun (5.4k points)

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40

GATE2019 EE: 5
The mean-square of a zero-mean 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 in new by Arjun (5.4k points)