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Recent questions tagged gateee2021
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41
GATE Electrical 2021  Question: 31
The casual signal with $z$transformer $Z^{2}\left ( Za \right )^{2}$ is ($u[n]$ is the unit step signal) $a^{2n}u\left [ n \right ]$ $\left ( n+1 \right )a^{n}u\left [ n \right ]$ $n^{1}a^{n}u\left [ n \right ]$ $n^{2}a^{n}u\left [ n \right ]$
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
0
votes
0
answers
42
GATE Electrical 2021  Question: 32
Let $f(t)$ be an even function, i.e. $f(t)=f(t)$ for all $t$. Let the Fourier transform of $f(t)$ be defined as $F\left ( \omega \right )=\int\limits_{\infty }^{\infty }\:f\left ( t \right )e^{j\omega t}dt$ ... $f\left ( 0 \right )< 1$ $f\left ( 0 \right )> 1$ $f\left ( 0 \right )= 1$ $f\left ( 0 \right )= 0$
asked
Feb 20
in
Transform Theory
by
Arjun
(
7.8k
points)
gateee2021
transformtheory
fouriertransform
0
votes
0
answers
43
GATE Electrical 2021  Question: 33
In a singlephase transformer, the total iron loss is $2500\:W$ at nominal voltage of $440\:V$ and frequency $50\:Hz$. The total iron loss is $850\:W$ at $220\:V$ and $25\:Hz$. Then, at nominal voltage and frequency, the hysteresis loss and eddy current loss ... $1600\:W$ and $900\:W$ $900\:W$ and $1600\:W$ $250\:W$ and $600\:W$ $600\:W$ and $250\:W$
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
0
votes
0
answers
44
GATE Electrical 2021  Question: 34
In the figure shown, selfimpedances of the two transmission lines are $1.5j\:p.u$ each, and $Z_{m}=0.5j \:p.u$ is the mutual impedance. Bus voltages shown in the figure are in $p.u$. Given that $\delta>0$, the maximum steadystate real power that can be transferred ... $2\left  E \right \left  V \right $ $\frac{3\left  E \right \left  V \right }{2}$
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
0
votes
0
answers
45
GATE Electrical 2021  Question: 35
A $3$Bus network is shown. Consider generators as ideal voltage sources. If rows $1,\:2$ and $3$ of the $Y_{Bus}$ matrix correspond to Bus $1,\:2$ and $3$, respectively, then $Y_{Bus}$ ...
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
0
votes
0
answers
46
GATE Electrical 2021  Question: 36
Suppose $I_{A},\:I_{B}$ and $I_{C}$ are a set of unbalanced current phasors in a threephase system. The phase$B$ zerosequence current $I_{B0}=0.1\angle 0^{\circ}$ $p.u$. If phase$A$ current $I_{A}=1.1\angle 0^{\circ}$ $p.u$ and phase$C$ ... $1.1\angle 120^{\circ}+0.1\angle 0^{\circ}$ $1\angle 120^{\circ}+0.1\angle 0^{\circ}$
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
0
votes
0
answers
47
GATE Electrical 2021  Question: 37
A counter is constructed with three $D$ flipflops. The inputoutput pairs are named $(D_{0},\:Q_{0})$, $(D_{1},\:Q_{1})$ and $(D_{2},\:Q_{2})$, where the subscript $0$ denotes the least significant bit. The output sequence is desired to be the Gray ... $\overline{Q_{2}}Q_{0}+Q_{1}\overline{Q_{0}}$ $Q_{2}Q_{1}+\overline{Q_{2}}\:\overline{Q_{1}}$
asked
Feb 20
in
Analog and Digital Electronics
by
Arjun
(
7.8k
points)
gateee2021
analoganddigitalelectronics
sequentialcircuit
flipflops
0
votes
1
answer
48
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
49
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
50
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
51
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.)
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
52
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
53
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
(
7.8k
points)
gateee2021
numericalanswers
transformtheory
fouriertransform
0
votes
0
answers
54
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
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
55
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
points)
gateee2021
numericalanswers
0
votes
0
answers
56
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.)
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
57
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
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
58
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
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
59
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
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
60
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
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
61
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.)
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
62
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
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
63
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
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
64
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
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
65
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.)
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
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