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321
GATE Electrical 2020 | Question: 39
Which of the following options is true for a linear time-invariant discrete time system that obeys the difference equation: $y\left [ n \right ]-ay\left [ n-1 \right ]=b_{0}x\left [ n \right ]-b_{1}x\left [ n-1 \right ]$ $y[n]$ is unaffected by the ... $y\left [ n \right];n > 0$ is solely determined by the function $x[n]$.
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_...
go_editor
1.9k
points
go_editor
asked
Feb 28, 2020
new
gate2020-ee
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322
GATE Electrical 2020 | Question: 34
Consider a permanent magnet dc $\text{(PMDC)}$ motor which is initially at rest. At $t=0$, a dc voltage of $5 V$ is applied to the motor. Its speed monotonically increase from $0 \text{ rad/s}$ to $6.32 \text{ rad/s}$ in $0.5 \: s$ ... $\dfrac{10}{0.5s+1} \\$ $\dfrac{2}{0.5s+1} \\$ $\dfrac{2}{s+0.5} \\$ $\dfrac{10}{s+0.5}$
Consider a permanent magnet dc $\text{(PMDC)}$ motor which is initially at rest. At $t=0$, a dc voltage of $5 V$ is applied to the motor. Its speed monotonically increase...
go_editor
1.9k
points
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asked
Feb 28, 2020
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323
GATE Electrical 2020 | Question: 50
In the $\text{dc-dc}$ converter circuit shown, switch $\text{Q}$ is switched at a frequency of $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 _________.
In the $\text{dc-dc}$ converter circuit shown, switch $\text{Q}$ is switched at a frequency of $10 \: kHz$ with a duty ratio of $0.6$. All components of the circuit are i...
go_editor
1.9k
points
go_editor
asked
Feb 28, 2020
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numerical-answers
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324
GATE Electrical 2020 | Question: 30
Consider the diode circuit shown below. The diode, D, obeys the current-voltage characteristic $I_{D}=I_{S}\left ( exp\left ( \dfrac{V_{D}}{nV_{T}} \right )-1 \right )$, where $n> 1, V_{T}> 0, V_{D}$ is the voltage across the diode and $I_{D}$ is the ... $R_{1}$ and small $R_{2}$. Large $R_{1}$ and small $R_{2}$. Small $R_{1}$ and large $R_{2}$.
Consider the diode circuit shown below. The diode, D, obeys the current-voltage characteristic $I_{D}=I_{S}\left ( exp\left ( \dfrac{V_{D}}{nV_{T}} \right )-1 \right )$, ...
go_editor
1.9k
points
go_editor
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Feb 28, 2020
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325
GATE Electrical 2020 | Question: 36
Consider a negative unity feedback system with the forward path transfer function $\dfrac{s^{2}+s+1}{s^{3}+2s^{2}+2s+K},$ where $K$ is a positive real number. The value of $K$ for which the system will have some of its poles on the imaginary axis is ____________. $9$ $8$ $7$ $6$
Consider a negative unity feedback system with the forward path transfer function $\dfrac{s^{2}+s+1}{s^{3}+2s^{2}+2s+K},$ where $K$ is a positive real number. The value o...
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1.9k
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go_editor
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Feb 28, 2020
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326
GATE Electrical 2020 | Question: 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 ... the initial capacitor voltage if the zero crossing has to happen at $t=0.2\tau$ is _______________________ (rounded off to $2$ decimal places).
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 fou...
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1.9k
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Feb 28, 2020
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327
GATE Electrical 2020 | Question: 38
The causal realization of a system transfer function $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
The causal realization of a system transfer function $H(s)$ having poles at $(2,-1), (-2,1)$ and zeroes at $(2,1), (-2,-1)$ will be stable, real, allpassunstable, complex...
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1.9k
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Feb 28, 2020
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328
GATE Electrical 2020 | Question: 49
A cylindrical rotor synchronous generator has steady state synchronous reactance of $0.7 \: pu$ and subtransient reactance of $0.2 \: pu$. It is operating at $\left ( 1+j0 \right ) pu$ terminal voltage with an internal $\text{emf}$ ... the generator, the magnitude of the subtransient internal $\text{emf}$ (rounded off to $2$ decimal places) is ____________ $pu$.
A cylindrical rotor synchronous generator has steady state synchronous reactance of $0.7 \: pu$ and subtransient reactance of $0.2 \: pu$. It is operating at $\left ( 1+j...
go_editor
1.9k
points
go_editor
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Feb 28, 2020
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numerical-answers
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329
GATE Electrical 2020 | Question: 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 )$
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 \r...
go_editor
1.9k
points
go_editor
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Feb 28, 2020
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gate2020-ee
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330
GATE Electrical 2020 | Question: 31
A non-ideal diode is biased with a voltage of $-0.03 \: V$, and a diode current of $I_{1}$ is measured. The thermal voltage is $26 \: mV$ and the ideality factor for the diode is $15/13$. The voltage, in $V$, at which the measured current increases to $1.5 \: I_{1}$ is closest to: $-0.02$ $-0.09$ $-1.50$ $-4.50$
A non-ideal diode is biased with a voltage of $-0.03 \: V$, and a diode current of $I_{1}$ is measured. The thermal voltage is $26 \: mV$ and the ideality factor for the ...
go_editor
1.9k
points
go_editor
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Feb 28, 2020
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331
GATE Electrical 2020 | Question: 41
A stable real linear time-invariant system with single pole at $\text{p}$, has a transfer function $H\left ( s \right )=\dfrac{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$
A stable real linear time-invariant system with single pole at $\text{p}$, has a transfer function $H\left ( s \right )=\dfrac{s^{2}+100}{s-p}$ with a $\text{dc}$ gain of...
go_editor
1.9k
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Feb 28, 2020
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332
GATE Electrical 2020 | Question: 35
Which of the following options is correct for the system shown below? $4^{th}$ order and stable $3^{rd}$ order and stable $4^{th}$ order and unstable $3^{rd}$ order and unstable
Which of the following options is correct for the system shown below?$4^{th}$ order and stable$3^{rd}$ order and stable$4^{th}$ order and unstable$3^{rd}$ order and unsta...
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1.9k
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Feb 28, 2020
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333
GATE Electrical 2020 | Question: 47
Bus $1$ with voltage magnitude $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 $ ... value of the voltage magnitude, $V_{1}$, in $pu$ ( rounded off to $2$ decimal places), at bus $1$ is___________________.
Bus $1$ with voltage magnitude $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 transm...
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1.9k
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Feb 28, 2020
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334
GATE Electrical 2020 | Question: 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: LXI H,2001H MVI A, 21 H INX H ... the end of this program, the memory location $\text{2003H}$ contains the number in decimal $\text{(base 10)}$ form _____________.
An $8085$ microprocessor acesses two memory locations $\text{(2001H)}$ and $\text{(2002H)}$, that contain $8$-bit numbers $\text{98H}$ and $\text{B1H}$, respectively. The...
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1.9k
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Feb 28, 2020
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335
GATE Electrical 2020 | Question: 40
Let $a_{r},\:a_{\phi }$ and $a_{z}$ be unit vectors along $r,\:\phi$ and $z$ ... $z$-axis with its base at the origin is: $54\:\pi$ $90\:\pi$ $108\:\pi$ $180\:\pi$
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 ...
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1.9k
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Feb 28, 2020
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336
GATE Electrical 2020 | Question: 48
Windings $\text{ A','B'}$ and $\text{ 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 ... $\text{RMS}$ voltage (in $\text{V}$, rounded off to $2$ decimal places) across winding $\text{ X'}$ is _______________.
Windings $\text{‘A’,’B’}$ and $\text{‘C’}$ have $20$ turns each and are wound on the same iron core as shown, along with winding $\text{‘X’}$ which has $2...
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1.9k
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go_editor
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Feb 28, 2020
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Gate2006-EE
...
$\\ P=\begin{pmatrix} -10\\ -1\\ 3 \end{pmatrix}^{T} Q=\begin{pmatrix} -2\\ -5\\ 9 \end{pmatrix}^{T} R=\begin{pmatrix} 2\\ -7\\ 12 \end{pmatrix}^{T} are\ three\ vectors.\...
KUSHAGRA गुप्ता
120
points
KUSHAGRA गुप्ता
asked
Sep 29, 2019
Linear Algebra
gate2006-ee
linear-algebra
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0
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2
answers
338
GATE Electrical 2018 | GA Question: 7
In a certain code, $AMCF$ is written as $EQGJ$ and $NKUF$ is written as $ROYJ.$ How will $DHLP$ be written in that code$?$ $RSTN$ $TLPH$ $HLPT$ $XSVR$
In a certain code, $AMCF$ is written as $EQGJ$ and $NKUF$ is written as $ROYJ.$ How will $DHLP$ be written in that code$?$$RSTN$ $TLPH$ $HLPT$ $XSVR$
Arjun
15.9k
points
Arjun
asked
Feb 19, 2018
Analytical Aptitude
gate2018-ee
analytical-aptitude
logical-reasoning
sequence-series
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votes
1
answer
339
GATE Electrical 2019 | GA Question: 2
The passengers were angry ______ the airline staff about the delay. on about with towards
The passengers were angry ______ the airline staff about the delay.onaboutwithtowards
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
Verbal Aptitude
gate2019-ee
verbal-ability
prepositions
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1
answer
340
GATE Electrical 2019 | GA Question: 1
I am not sure if the bus that has been booked will be able to ______ all the students. sit deteriorate fill accommodate
I am not sure if the bus that has been booked will be able to ______ all the students.sitdeterioratefillaccommodate
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
Verbal Aptitude
gate2019-ee
verbal-ability
most-appropriate-word
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1
answer
341
GATE Electrical 2019 | GA Question: 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
Newspapers are a constant source of delight and recreation for me. The ________ trouble is that I read _______ many of them.even, quiteeven, tooonly, quiteonly, too
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
Verbal Aptitude
gate2019-ee
verbal-ability
most-appropriate-word
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0
votes
1
answer
342
GATE Electrical 2019 | Question: 24
The rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.
The rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
Linear Algebra
gate2019-ee
numerical-answers
linear-algebra
matrices
rank-of-matrix
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0
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1
answer
343
GATE Electrical 2019 | Question: 2
$M$ is $2 \times 2$ matrix with eigenvalues $4$ and $9.$ The eigenvalues of $M^{2}$ are $4$ and $9$ $2$ and $3$ $-2$ and $-3$ $16$ and $81$
$M$ is $2 \times 2$ matrix with eigenvalues $4$ and $9.$ The eigenvalues of $M^{2}$ are$4$ and $9$$2$ and $3$$-2$ and $-3$$16$ and $81$
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
Linear Algebra
gate2019-ee
linear-algebra
matrices
eigen-values
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1
answer
344
GATE Electrical 2014 Set 3 | Question: 30
The power delivered by the current source, in the figure, is ________.
The power delivered by the current source, in the figure, is ________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Electric Circuits
gate2014-ee-3
current-source
negative-power
numerical-answers
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1
answer
345
GATE Electrical 2016 Set 2 | Question: 42
The flux linkage $(\lambda)$ and current $(i)$ relation for an electromagnetic system is $\lambda=(\sqrt{i})/g$. When $i = 2A$ and $g$ (air-gap length) = $10$ cm, the magnitude of mechanical force on the moving part, in $N$, is __________.
The flux linkage $(\lambda)$ and current $(i)$ relation for an electromagnetic system is $\lambda=(\sqrt{i})/g$. When $i = 2A$ and $g$ (air-gap length) = $10$ cm, the mag...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electromagnetic Fields
gate2016-ee-2
flux
linkage
electromagnetic-system
numerical-answers
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1
answer
346
GATE Electrical 2014 Set 3 | GA Question: 4
Which number does not belong in the series below? $2$, $5$, $10$, $17$, $26$, $37$, $50$, $64$ $17$ $37$ $64$ $26$
Which number does not belong in the series below?$2$, $5$, $10$, $17$, $26$, $37$, $50$, $64$$17$$37$$64$$26$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Analytical Aptitude
gate2014-ee-3
analytical-aptitude
logical-reasoning
sequence-series
odd-one
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0
votes
0
answers
347
GATE Electrical 2019 | GA Question: 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 ... in buying on impulse Few men and women indulge in buying on impulse Many men and women indulge in buying on impulse
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 ...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
Verbal Aptitude
gate2019-ee
verbal-ability
verbal-reasoning
statements-follow
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0
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0
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348
GATE Electrical 2019 | Question: 26
Consider a $2\times 2$ matrix $M=\begin{bmatrix} v_1 & v_2 \end{bmatrix}$, where $v_1$ and $v_2$ are the column vectors. Suppose $M^{-1}=\begin{bmatrix} u_1^T \\ u_2^T \end{bmatrix}$, where $u_1^T$ and $u_2^T$ are ... True and Statement $2$ is false Statement $2$ is true and Statement $1$ is false Both the Statements are true Both the statements are false
Consider a $2\times 2$ matrix $M=\begin{bmatrix} v_1 & v_2 \end{bmatrix}$, where $v_1$ and $v_2$ are the column vectors. Suppose $M^{-1}=\begin{bmatrix} u_1^T \\ u_2^T \e...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
Linear Algebra
gate2019-ee
linear-algebra
matrices
eigen-values
eigen-vectors
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0
votes
0
answers
349
GATE Electrical 2019 | Question: 20
A co-axial Cylindrical capacitor is shown in the Figure(i) has dielectric with relative permittivity $\varepsilon_{r1} = 2$. When one – fourth portion of the dielectric is replaced with another dielectric of relative permittivity $\varepsilon_{r2}$, as shown in the Figure(ii), the capacitance is doubled. The value of $\varepsilon_{r2}$ is _________.
A co-axial Cylindrical capacitor is shown in the Figure(i) has dielectric with relative permittivity $\varepsilon_{r1} = 2$. When one – fourth portion of the dielectric...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
new
gate2019-ee
numerical-answers
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350
GATE Electrical 2019 | Question: 33
The enhancement type MOSFET in the circuit below operates according to the square law. $\mu _nC_{ox} =100 \: \mu A /V^2$, the threshold voltage $(V_T)$ is $500$ mV. Ignore channel length modulation. The output voltage $V_{\text{out}}$ is $100$ mV $500$ mV $600$ mV $2$ V
The enhancement type MOSFET in the circuit below operates according to the square law. $\mu _nC_{ox} =100 \: \mu A /V^2$, the threshold voltage $(V_T)$ is $500$ mV. Ignor...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
new
gate2019-ee
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351
GATE Electrical 2019 | Question: 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}$
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 stand...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
new
gate2019-ee
probability-and-statistics
probability
standard-deviation
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0
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0
answers
352
GATE Electrical 2019 | Question: 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}$
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}$$4te^{-t}+e^{-t}$
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
Transform Theory
gate2019-ee
transform-theory
laplace-transform
inverse-laplace-transform
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0
votes
0
answers
353
GATE Electrical 2019 | Question: 22
Five alternators each rated $5$ MVA, $13.2$ kV with $25 \%$ of reactance on its own base are connected in parallel to a busbar. The short circuit level in MVA at the busbar is ____________
Five alternators each rated $5$ MVA, $13.2$ kV with $25 \%$ of reactance on its own base are connected in parallel to a busbar. The short circuit level in MVA at the bus...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
new
gate2019-ee
numerical-answers
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0
votes
0
answers
354
GATE Electrical 2019 | Question: 23
The total impedance of the secondary winding, leads, and burden of a $5$ A CT is $0.01 \: \Omega$. If the fault current is $20$ times the rated primary current of the CT, the VA output of the CT is_________
The total impedance of the secondary winding, leads, and burden of a $5$ A CT is $0.01 \: \Omega$. If the fault current is $20$ times the rated primary current of the CT,...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
new
gate2019-ee
numerical-answers
+
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0
votes
0
answers
355
GATE Electrical 2019 | Question: 14
The open loop transfer function of a unity feedback system is given by $G(s)=\frac{\pi e^{-0.25s}}{s}$ In $G(s)$ plane, the Nyquist plot of $G(s)$ passes through the negative real axis at the point $(-0.5,j0)$ $(-0.75,j0)$ $(-1.25,j0)$ $(-1.5,j0)$
The open loop transfer function of a unity feedback system is given by$$G(s)=\frac{\pi e^{-0.25s}}{s}$$In $G(s)$ plane, the Nyquist plot of $G(s)$ passes through the nega...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
new
gate2019-ee
+
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0
votes
0
answers
356
GATE Electrical 2019 | Question: 25
The output voltage of a single-phase full-bridge voltage source inverter is controlled by unipolar PWM with one pulse per half cycle. For the fundamental rms Component of the output voltage to be $75 \%$ of DC voltage, the required pulse width in degrees (round off up to one decimal place) is ___________.
The output voltage of a single-phase full-bridge voltage source inverter is controlled by unipolar PWM with one pulse per half cycle. For the fundamental rms Component of...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
new
gate2019-ee
numerical-answers
+
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0
votes
0
answers
357
GATE Electrical 2019 | Question: 4
Which one of the following functions is analytic in the region $\mid z \mid \leq 1$ ? $\frac{z^{2}-1}{z} \\ $ $\frac{z^{2}-1}{z+2} \\ $ $\frac{z^{2}-1}{z-0.5} \\ $ $\frac{z^{2}-1}{z+j0.5} $
Which one of the following functions is analytic in the region $\mid z \mid \leq 1$ ?$\frac{z^{2}-1}{z} \\ $$\frac{z^{2}-1}{z+2} \\ $$\frac{z^{2}-1}{z-0.5} \\ $$\frac{z^...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
Complex Variables
gate2019-ee
complex-variables
analytic-functions
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–
0
votes
0
answers
358
GATE Electrical 2019 | Question: 29
The asymptotic Bode magnitude plot of a minimum phase transfer function $G(s)$ is shown below. Consider the following two statements. Statement I: Transfer function $G(s)$ has three poles and one zero. Statement II: At very high frequency ... II is false Statement I is false and statement II is true Both the statements are true Both the statements are false
The asymptotic Bode magnitude plot of a minimum phase transfer function $G(s)$ is shown below.Consider the following two statements.Statement I: Transfer function $G(s)$ ...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
new
gate2019-ee
+
–
0
votes
0
answers
359
GATE Electrical 2019 | Question: 40
The probability of a resistor being deflective is $0.02$. There are $50$ such resistors in a circuit. The probability of two or more defective resistors in the circuit (round off to two decimal places) is _______________
The probability of a resistor being deflective is $0.02$. There are $50$ such resistors in a circuit. The probability of two or more defective resistors in the circuit (r...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
new
gate2019-ee
numerical-answers
probability-and-statistics
probability
+
–
0
votes
0
answers
360
GATE Electrical 2019 | Question: 10
The parameter of an equivalent circuit of a three-phase induction motor affected by reducing the rms value of the supply voltage at the rated frequency is rotor resistance rotor leakage reactance magnetizing reactance stator resistance
The parameter of an equivalent circuit of a three-phase induction motor affected by reducing the rms value of the supply voltage at the rated frequency isrotor resistance...
Arjun
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Arjun
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Feb 12, 2019
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