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GATE Electrical 2021  Question: 13
Suppose the circles $x^{2}+y^{2}=1$ and $\left ( x1\right )^{2}+\left ( y1 \right )^{2}=r^{2}$ intersect each other orthogonally at the point $\left ( u,v \right )$. Then $u+v=$ _______________.
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Feb 20
in
Calculus
by
Arjun
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7.8k
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gateee2021
numericalanswers
calculus
curves
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2
GATE Electrical 2021  Question: 14
In the given circuit, the value of capacitor $C$ that makes current $I=0$ is ________________ $\mu F$.
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Feb 20
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3
GATE Electrical 2021  Question: 15
Two singlecore power cables have total conductor resistances of $0.7\;\Omega$ and $0.5\;\Omega$, respectively, and their insulation resistances (between core and sheath) are $600\;M\Omega$ and $900\;M\Omega$, respectively. When the two cables are joined in series, the ratio of insulation resistance to conductor resistance is ___________$\times 10^{6}$.
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Feb 20
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Arjun
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gateee2021
numericalanswers
0
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4
GATE Electrical 2021  Question: 16
In the given circuit, for voltage $V_y$ to be zero, the value of $\beta$ should be _________. (Round off to $2$ decimal places).
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Feb 20
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Arjun
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7.8k
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gateee2021
numericalanswers
0
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0
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5
GATE Electrical 2021  Question: 17
A $1\;\mu C$ point charge is held at the origin of a cartesian coordinate system. If a second point charge of $10\;\mu C$ is moved from $\left ( 0,10,0 \right )$ to $\left ( 5,5,5\right )$ and subsequently to $\left ( 5,0,0\right )$, ... decimal places). Take $\dfrac{1}{4\pi \varepsilon _{0}}=9\times 10^{9}$ in $\text{SI}$ units. All coordinates are in meters.
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Feb 20
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new
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Arjun
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7.8k
points)
gateee2021
numericalanswers
0
votes
0
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6
GATE Electrical 2021  Question: 18
The power input to a $\text{500 V, 50 Hz, 6pole, 3phase}$ induction motor running at $975 \text{RPM}$ is $40 \text{ kW}$ . The total stator losses are $1 \text{ kW}$. If the total friction and windage losses are $2.025\text{ kW}$, then the efficiency is _____________$\%$.
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Feb 20
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Arjun
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7.8k
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gateee2021
numericalanswers
0
votes
0
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7
GATE Electrical 2021  Question: 19
An alternator with internal voltage of $1\angle \delta _{1}\text{p.u}$ and synchronous reactance of $\text{0.4 p.u}$ is connected by a transmission line of reactance $\text{0.1 p.u}$ ... $2$ decimal places.) (Machines are of nonsalient type. Neglect resistances.)
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Feb 20
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new
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Arjun
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7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
8
GATE Electrical 2021  Question: 20
The Bode magnitude plot for the transfer function $\frac{V_{o}\left ( s \right )}{V_{i}\left ( s \right )}$ of the circuit is as shown. The value of $R$ is _____________$\Omega$. (Round off to $2$ decimal places.)
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Feb 20
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Arjun
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7.8k
points)
gateee2021
numericalanswers
0
votes
0
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9
GATE Electrical 2021  Question: 21
A signal generator having a source resistance of $50\:\Omega$ is set to generate a $\text{1 kHz}$ sinewave. Open circuit terminal voltage is $\text{10 V}$ peaktopeak. Connecting a capacitor across the terminals reduces the voltage to $\text{8 V}$ peaktopeak. The value of this capacitor is _____________$\mu F$. (Round off to $2$ decimal places.)
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Feb 20
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Arjun
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7.8k
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gateee2021
numericalanswers
0
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0
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10
GATE Electrical 2021  Question: 22
A $16$bit synchronous binary upcounter is clocked with a frequency $f_{\text{CLK}}$.The two most significant bits are $\text{ORed}$ together to form an output $Y$. Measurements show that $Y$ is periodic, and the duration for which $Y$ remains high ... $f_{\text{CLK}}$ is ____________$\text{MHz}.$ (Round off to $2$ decimal places.)
asked
Feb 20
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new
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Arjun
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7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
11
GATE Electrical 2021  Question: 23
In the $\text{BJT}$ circuit shown, beta of the $\text{PNP}$ transistor is $100$. Assume $V_{\text{BE}}=0.7\;V$. The voltage across $R_{c}$ will be $\text{5 V}$ when $R_{2}$ is __________ $k \Omega$. (Round off to $2$ decimal places.)
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Feb 20
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new
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Arjun
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7.8k
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gateee2021
numericalanswers
0
votes
0
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12
GATE Electrical 2021  Question: 24
In the circuit shown, the input $V_{i}$ is a sinusoidal $\text{AC}$ voltage having an $\text{RMS}$ value of $230\;V\pm 20\%$. The worstcase peakinverse voltage seen across any diode is ____________$V$. (Round off to $2$ decimal places.)
asked
Feb 20
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new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
13
GATE Electrical 2021  Question: 25
In the circuit shown, a $\text{5 V}$ Zener diode is used to regulate the voltage across load $R_{0}$. The input is an unregulated $DC$ voltage with a minimum value of $\text{6 V}$ and a maximum value of $\text{8 V}$ ... dissipation of $\text{2.5 W}$. Assuming the Zener diode to be ideal, the minimum value of $R_{0}$ is _________________ $\Omega$.
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
1
answer
14
GATE Electrical 2021  Question: 38
Let $A$ be a $10\times10$ matrix such that $A^{5}$ is a null matrix, and let $I$ be the $10\times10$ identity matrix. The determinant of $\text{A+I}$ is ___________________.
asked
Feb 20
in
Linear Algebra
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
linearalgebra
matrices
determinant
0
votes
0
answers
15
GATE Electrical 2021  Question: 39
A threephase balanced voltage is applied to the load shown. The phase sequence is $\text{RYB}$. The ratio $\frac{\left  I_{B} \right }{I_{R}}$ is ____________.
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
16
GATE Electrical 2021  Question: 40
In the given circuit, for maximum power to be delivered to $R_{L}$, its value should be ______________ $\Omega$. (Round off to $2$ decimal places.)
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
17
GATE Electrical 2021  Question: 41
One coulomb of point charge moving with a uniform velocity $10\:\hat{X}$ $\text{m/s}$ enters the region $x\geq 0$ having a magnetic flux density $\overrightarrow{B}=\left ( 10y\:\hat{X} + 10x\:\hat{Y}+10\:\hat{Z}\right )T$. The magnitude of force on the ... ($\hat{X}$, $\hat{Y}$, and $\hat{Z}$ are unit vectors along $x$axis, $y$axis and $z$axis, respectively.)
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Feb 20
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new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
18
GATE Electrical 2021  Question: 42
Consider a large parallel plate capacitor. The gap $d$ between the two plates is filled entirely with a dielectric slab of relative permittivity $5$. The plates are initially charged to a potential difference of $V$ volts and then disconnected from the source ... of the new electric field $E_{2}$ in the gap to the original electric field $E_{1}$ is ________.
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
19
GATE Electrical 2021  Question: 43
Consider a continuoustime signal $x(t)$ defined by $x(t)=0$ for $\left  t \right > 1$, and $x\left ( t \right )=1\left  t \right $ for $\left  t \right \leq 1$. Let the Fourier transform of $x(t)$ ... $X\left ( \omega \right )$ is ___________.
asked
Feb 20
in
Transform Theory
by
Arjun
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7.8k
points)
gateee2021
numericalanswers
transformtheory
fouriertransform
0
votes
0
answers
20
GATE Electrical 2021  Question: 44
A beltdriven $\text{DC}$ shunt generator running at $300\: \text{RPM}$ delivers $100 \:\text{kW}$ to a $200 \:V\: \text{DC}$ grid. It continues to run as a motor when the belt breaks, taking $10 \:\text{kW}$ from the $\text{DC}$ grid ... drop is $2 \:V$. Ignoring armature reaction, the speed of the motor is _____ $\text{RPM}$. (Round off to $2$ decimal places.)
asked
Feb 20
in
new
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Arjun
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7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
21
GATE Electrical 2021  Question: 45
An $8$pole, $50 \:Hz$, threephase, slipring induction motor has an effective rotor resistance of $0.08\:\Omega$ per phase. Its speed at maximum torque is $650 \text{ RPM}$. The additional resistance per ... Round off to $2$ decimal places.) Neglect magnetizing current and stator leakage impedance. Consider equivalent circuit parameters referred to stator.
asked
Feb 20
in
new
by
Arjun
(
7.8k
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gateee2021
numericalanswers
0
votes
0
answers
22
GATE Electrical 2021  Question: 46
Consider a closedloop system as shown. $G_{P}\left ( s \right )=\dfrac{14.4}{s\left ( 1+0.1s \right )}$ is the plant transfer function and $G_{c}(S)=1$ is the compensator. For a unitstep input, the output response has damped oscillations. The damped natural frequency is ___________________ $\text{rad/s}$. (Round off to $2$ decimal places.)
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Feb 20
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new
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Arjun
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7.8k
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gateee2021
numericalanswers
0
votes
0
answers
23
GATE Electrical 2021  Question: 47
In the given figure, plant $G_{P}\left ( s \right )=\dfrac{2.2}{\left ( 1+0.1s \right )\left ( 1+0.4s \right )\left ( 1+1.2s \right )}$ ... is a unit step, the steadystate error should not exceed $0.1$ unit. The minimum value of $K$ is _____________. (Round off to $2$ decimal places.)
asked
Feb 20
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new
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Arjun
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7.8k
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gateee2021
numericalanswers
0
votes
0
answers
24
GATE Electrical 2021  Question: 48
The waveform shown in solid line is obtained by clipping a fullwave rectified sinusoid (shown dashed). The ratio of the $\text{RMS}$ value of the fullwave rectified waveform to the $\text{RMS}$ value of the clipped waveform is _______________. (Round off to $2$ decimal places.)
asked
Feb 20
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new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
25
GATE Electrical 2021  Question: 49
The state space representation of a firstorder system is given as $\overset{\bullet }{x}=x+u$ $y=x$ where,$x$ is the state variable, $u$ is the control input and $y$ is the controlled output. Let $u=Kx$ be the control law, where $K$ is the controller gain. To place a closedloop pole at $2$, the value of $K$ is ___________________.
asked
Feb 20
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new
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Arjun
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7.8k
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gateee2021
numericalanswers
0
votes
0
answers
26
GATE Electrical 2021  Question: 50
An aircore radiofrequency transformer as shown has a primary winding and a secondary winding. The mutual inductance $M$ between the windings of the transformer is ____________ $\mu H$.(Round off to $2$ decimal places.)
asked
Feb 20
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new
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Arjun
(
7.8k
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gateee2021
numericalanswers
0
votes
0
answers
27
GATE Electrical 2021  Question: 51
A $\text{100 Hz}$ square wave, switching between $\text{0 V}$ and $\text{5 V}$, is applied to a $\text{CR}$ highpass filter circuit as shown. The output voltage waveform across the resistor is $\text{6.2 V}$ peaktopeak. If the resistance $R$ is $\text{820 $\Omega$}$, then the value $C$ is ______________$\mu F$. (Round off to $2$ decimal places.)
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Feb 20
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new
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Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
28
GATE Electrical 2021  Question: 52
A $\text{CMOS}$ Schmitttrigger inverter has a low output level of $\text{0 V}$ and a high output level of $\text{5 V}$. It has input thresholds of $\text{1.6 V}$ and $\text{2.4 V}$. The input capacitance and output resistance of the Schmitttrigger are negligible. The frequency of the oscillator shown is ____________$\text{Hz}$.(Round off to $2$ decimal places.)
asked
Feb 20
in
new
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Arjun
(
7.8k
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gateee2021
numericalanswers
0
votes
0
answers
29
GATE Electrical 2021  Question: 53
Consider the boost converter shown. Switch $Q$ is operating at $\text{25 kHz}$ with a duty cycle of $0.6$. Assume the diode and switch to be ideal. Under steadystate condition, the average resistance $R_{\text{in}}$ as seen by the source is __________ $\Omega$. (Round off to $2$ decimal places).
asked
Feb 20
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new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
30
GATE Electrical 2021  Question: 54
Consider the buckboost converter shown. Switch $Q$ is operating at $\text{25 kHz}$ and $0.75$ dutycycle. Assume diode and switch to be ideal. Under steadystate condition, the average current flowing through the indicator is ____________$A$.
asked
Feb 20
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new
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Arjun
(
7.8k
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gateee2021
numericalanswers
0
votes
0
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31
GATE Electrical 2021  Question: 55
A singlephase fullbridge inverter fed by a $\text{325 V DC}$ produces a symmetric quasisquare waveform across '$ab$' as shown. To achieve a modulation index of $0.8$, the angle $\theta$ expressed in degrees should be _______________. (Round off ... is defined as the ratio of the peak of the fundamental component of $V_{ab}$ to the applied $\text{DC}$ value.)
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Feb 20
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Arjun
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7.8k
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gateee2021
numericalanswers
0
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0
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32
GATE Electrical 2020  Question: 16
Consider the initial value problem below. The value of y at $x=\ln{2}$, (rounded off to $3$ decimal places) is ______________. $\frac{\mathrm{d} y}{\mathrm{d} x}=2xy,\:\:y\left ( 0 \right )=1$
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Feb 28, 2020
in
Differential Equations
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jothee
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1.8k
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gate2020ee
numericalanswers
differentialequations
initialandboundaryvalueproblems
0
votes
0
answers
33
GATE Electrical 2020  Question: 17
A threephase, $\text{50 Hz}$, $4$pole induction motor runs at noload with a slip of $1\%$. With full load, the slip increases to $5 \%$. The $\%$ speed regulation of the motor (rounded off to $2$ decimal places) is _____________________.
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Feb 28, 2020
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jothee
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1.8k
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gate2020ee
numericalanswers
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0
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34
GATE Electrical 2020  Question: 18
Currents through ammeters $\text{A2}$ and $\text{A3}$ in the figure are $1\angle 10^{\circ}\:and\:1\angle 70^{\circ}$, respectively. The reading of the ammeter $\text{A1}$ (rounded off to $3$ decimal places) is_______$\text{A}$.
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Feb 28, 2020
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jothee
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1.8k
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gate2020ee
numericalanswers
0
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0
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35
GATE Electrical 2020  Question: 19
The Thevenin equivalent voltage, $V_{TH}$, in $\text{V}$ (rounded off to $2$ decimal places) of the network shown below, is _______
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Feb 28, 2020
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jothee
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1.8k
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gate2020ee
numericalanswers
0
votes
0
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36
GATE Electrical 2020  Question: 20
A double pulse measurement for an inductively loaded circuit controlled by the $\text{IGBT}$ switch is carried out to evaluate the reverse recovery characteristics of the diode, $\text{D}$, represented approximately as a piecewise linear plot of current vs time ... $4$) at which the $\text{IGBT}$ experiences the highest current stress is _________.
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Feb 28, 2020
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jothee
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gate2020ee
numericalanswers
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0
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37
GATE Electrical 2020  Question: 21
A singlephase, $\text{4 kVA}$, $200\: V/100 \: V$, $50 \: Hz$ transformer with laminated $\text{CRGO}$ steel core has rated noload loss of $450 \: W$. When the highvoltage winding is excited with $160 \: V$, $40 \: Hz$ ... $\text{25 Hz}$ sinusoidal ac source, the noload losses will be _____________________$\text{W}$ (rounded off to $2$ decimal places).
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Feb 28, 2020
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jothee
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1.8k
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gate2020ee
numericalanswers
0
votes
0
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38
GATE Electrical 2020  Question: 23
A single $50 \: Hz$ synchronous generator on droop control was delivering $100 \: MW$ power to a system. Due to increase in load, generator power had to be increased by $10 \: MW$ ... At this condition, the power in $\text{MW}$ supplied by the generator is _________________ (rounded off to $2$ decimal places).
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Feb 28, 2020
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new
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jothee
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1.8k
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gate2020ee
numericalanswers
0
votes
0
answers
39
GATE Electrical 2020  Question: 24
Consider a negative unity feedback system with forward path transfer function $G\left ( s \right )=\dfrac{K}{\left ( s+a \right )\left ( sb \right )\left ( s+c \right )}$, where $\text{K, a, b, c}$ are positive real numbers. For a Nyquist path ... $\text{s}$plane is__________.
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Feb 28, 2020
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jothee
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1.8k
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gate2020ee
numericalanswers
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40
GATE Electrical 2020  Question: 25
The crosssection of a metaloxidesemiconductor structure is shown schematically. Starting from an uncharged condition, a bias of $\text{+3 V}$ is applied to the gate contact with respect to the body contact. The charge inside the silicon ... , expressed as a multiple of $\text{Q}$ (absolute value in Coulombs, rounded off to the nearest integer) is___________
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gate2020ee
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