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Recent questions tagged gate2022-ee
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GATE Electrical 2022 | GA Question: 1
As you grow older, an injury to your ______________ may take longer to ____________. heel / heel heal / heel heal / heal heel / heal
As you grow older, an injury to your ______________ may take longer to ____________.heel / heelheal / heelheal / healheel / heal
Arjun
15.9k
points
Arjun
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Feb 15, 2022
Verbal Aptitude
gate2022-ee
verbal-aptitude
most-appropriate-word
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1
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GATE Electrical 2022 | GA Question: 2
In a $500\;m$ race, $P$ and $Q$ have speeds in the ratio of $3 : 4$. $Q$ starts the race when $P$ has already covered $140\; m$. What is the distance between $P$ and $Q$ (in $m$) when $P$ wins the race? $20$ $40$ $60$ $140$
In a $500\;m$ race, $P$ and $Q$ have speeds in the ratio of $3 : 4$. $Q$ starts the race when $P$ has already covered $140\; m$.What is the distance between $P$ and $Q$ (...
Arjun
15.9k
points
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gate2022-ee
quantitative-aptitude
speed-time-distance
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2
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GATE Electrical 2022 | GA Question: 3
Three bells $P$, $Q$ and $R$ are rung periodically in a school. $P$ is rung every $20$ minutes; $Q$ is rung every $30$ minutes and $R$ is rung every $50$ minutes. If all the three bells are rung at $12 : 00$ $\text{PM}$, when will the three bells ring together again ... time? $5 : 00$ $\text{PM}$ $5 : 30$ $\text{PM}$ $6 : 00$ $\text{PM}$ $6 : 30$ $\text{PM}$
Three bells $P$, $Q$ and $R$ are rung periodically in a school. $P$ is rung every $20$ minutes; $Q$ is rung every $30$ minutes and $R$ is rung every $50$ minutes.If all t...
Arjun
15.9k
points
Arjun
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Feb 15, 2022
Quantitative Aptitude
gate2022-ee
quantitative-aptitude
lcm-hcf
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GATE Electrical 2022 | GA Question: 4
Given below are two statements and four conclusions drawn based on the statements. Statement $1$: Some bottles are cups. Statement $2$: All cups are knives. Conclusion $\text{I}$ : Some bottles are knives. Conclusion $\text{II}$ : Some knives are ... $\text{IV}$ are correct Only conclusion $\text{III}$ and conclusion $\text{IV}$ are correct
Given below are two statements and four conclusions drawn based on the statements.Statement $1$: Some bottles are cups.Statement $2$: All cups are knives. Conclusion $\te...
Arjun
15.9k
points
Arjun
asked
Feb 15, 2022
Analytical Aptitude
gate2022-ee
analytical-aptitude
statements-follow
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GATE Electrical 2022 | GA Question: 5
The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes $1 -1$, $2 -2$ or $3 -3$ chosen uniformly at random. What is the probability that the ... $0$ $\frac{1}{3}$ $\frac{2}{3}$ $1$
The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes $1 -...
Arjun
15.9k
points
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gate2022-ee
quantitative-aptitude
probability
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1
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GATE Electrical 2022 | GA Question: 6
Altruism is the human concern for the wellbeing of others. Altruism has been shown to be motivated more by social bonding, familiarity and identification of belongingness to a group. The notion that altruism may be attributed to ... engage in altruism due to group identification but not empathy Humans engage in altruism due to empathy but not familiarity
Altruism is the human concern for the wellbeing of others. Altruism has been shown to be motivated more by social bonding, familiarity and identification of belongingness...
Arjun
15.9k
points
Arjun
asked
Feb 15, 2022
Analytical Aptitude
gate2022-ee
analytical-aptitude
logical-reasoning
passage-reading
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GATE Electrical 2022 | GA Question: 7
There are two identical dice with a single letter on each of the faces. The following six letters: $\text{Q, R, S, T, U}$ and $\text{V}$, one on each of the faces. Any of the six outcomes are equally likely. The two dice are thrown once independently at random. What is the ... $\text{V}$? $\frac{1}{4}$ $\frac{3}{4}$ $\frac{1}{6}$ $\frac{5}{36}$
There are two identical dice with a single letter on each of the faces. The following six letters: $\text{Q, R, S, T, U}$ and $\text{V}$, one on each of the faces. Any of...
Arjun
15.9k
points
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gate2022-ee
quantitative-aptitude
probability
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GATE Electrical 2022 | GA Question: 8
The price of an item is $10\%$ cheaper in an online store $\text{S}$ compared to the price at another online store $\text{M}$. Store $\text{S}$ charges $\text{₹ }150$ ... $\text{₹}$) if there are no other charges than what is described above? $2500$ $2250$ $1750$ $1500$
The price of an item is $10\%$ cheaper in an online store $\text{S}$ compared to the price at another online store $\text{M}$. Store $\text{S}$ charges $\text{₹ }150$ ...
Arjun
15.9k
points
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gate2022-ee
quantitative-aptitude
cost-market-price
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GATE Electrical 2022 | GA Question: 9
The letters $\text{P, Q, R, S, T}$ and $\text{U}$ are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order. Consider the following statements: The line segment joining $\text{R}$ and $\text{S}$ is ... line segment joining $\text{Q}$ and $\text{S}$ is perpendicular to the line segment joining $\text{R}$ and $\text{P}$
The letters $\text{P, Q, R, S, T}$ and $\text{U}$ are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order.Consider the followin...
Arjun
15.9k
points
Arjun
asked
Feb 15, 2022
Analytical Aptitude
gate2022-ee
analytical-aptitude
logical-reasoning
statements-follow
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1
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1
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GATE Electrical 2022 | GA Question: 10
An ant is at the bottom-left corner of a grid (point $\text{P}$) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right ... decreases. Which one of the following is a part of a possible trajectory of the ant during the movement? A. B. C. D.
An ant is at the bottom-left corner of a grid (point $\text{P}$) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along the lines m...
Arjun
15.9k
points
Arjun
asked
Feb 15, 2022
Spatial Aptitude
gate2022-ee
spatial-aptitude
patterns-in-two-dimensions
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GATE Electrical 2022 | Question: 1
The transfer function of a real system, $H(s)$, is given as: $H\left ( s \right ) = \dfrac{As + B}{S^{2} + Cs + D}$ where $\text{A, B, C}$ and $D$ are positive constants. This system cannot operate as low pass filter. high pass filter. band pass filter. an integrator.
The transfer function of a real system, $H(s)$, is given as:$H\left ( s \right ) = \dfrac{As + B}{S^{2} + Cs + D}$where $\text{A, B, C}$ and $D$ are positive constants. T...
Arjun
15.9k
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Arjun
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Feb 15, 2022
new
gate2022-ee
multiple-selects
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GATE Electrical 2022 | Question: 2
For an ideal $\text{MOSFET}$ biased in saturation, the magnitude of the small signal current gain for a common drain amplifier is $0$ $1$ $100$ infinite
For an ideal $\text{MOSFET}$ biased in saturation, the magnitude of the small signal current gain for a common drain amplifier is$0$$1$$100$infinite
Arjun
15.9k
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Arjun
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Feb 15, 2022
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GATE Electrical 2022 | Question: 3
The most commonly used relay, for the protection of an alternator against loss of excitation, is offset Mho relay. over current relay. differential relay. Buchholz relay.
The most commonly used relay, for the protection of an alternator against loss of excitation, isoffset Mho relay.over current relay.differential relay.Buchholz relay.
Arjun
15.9k
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Arjun
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Feb 15, 2022
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GATE Electrical 2022 | Question: 4
The geometric mean radius of a conductor, having four equal strands with each strand of radius $’r’$, as shown in the figure below, is $4\:r$ $1.414\:r$ $2\:r$ $1.723\:r$
The geometric mean radius of a conductor, having four equal strands with each strand of radius $’r’$, as shown in the figure below, is $4\:r$$1.414\:r$$2\:r$$1.723\:r...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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gate2022-ee
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GATE Electrical 2022 | Question: 5
The valid positive, negative and zero sequence impedances (in p.u), respectively, for a $220$ $\text{kV}$, fully transposed three-phase transmission line, from the given choices are $1.1, \: 0.15$ and $0.08$ $0.15, \: 0.15$ and $0.35$ $0.2, \: 0.2$ and $0.2$ $0.1, \: 0.3$ and $0.1$
The valid positive, negative and zero sequence impedances (in p.u), respectively, for a $220$ $\text{kV}$, fully transposed three-phase transmission line, from the given ...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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GATE Electrical 2022 | Question: 6
The steady state output ($V_{\text{out}}$), of the circuit shown below, will saturate to $+V_{DD}$ saturate to $-V_{EE}$ become equal to $0.1\:V$ become equal to $-0.1\:V$
The steady state output ($V_{\text{out}}$), of the circuit shown below, willsaturate to $+V_{DD}$saturate to $-V_{EE}$become equal to $0.1\:V$become equal to $-0.1\:V$
Arjun
15.9k
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Arjun
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Feb 15, 2022
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GATE Electrical 2022 | Question: 7
The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system, is $-180^{\circ}$. This system has one $\text{LHP}$ pole and one $\text{RHP}$ ... . two $\text{LHP}$ poles and one $\text{RHP}$ zero. two $\text{RHP}$ poles and one $\text{LHP}$ zero.
The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system, is $-180^{\circ}$. Th...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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GATE Electrical 2022 | Question: 8
A balanced Wheatstone bridge $\text{ABCD}$ has the following arm resistances: $R_{AB} = 1\:k\Omega \: \pm \:2.1\%; \:R_{BC} = 100\:\Omega \:\pm \:0.5\%; \: R_{CD}$ is an unknown resistance; $R_{DA} = 300 \:\Omega \: \pm \:0.4\%$ ... $30\:\Omega \:\pm \:0.9\:\Omega$ $3000\:\Omega \:\pm \:90\:\Omega$ $3000\:\Omega \:\pm \:3\:\Omega$
A balanced Wheatstone bridge $\text{ABCD}$ has the following arm resistances: $R_{AB} = 1\:k\Omega \: \pm \:2.1\%; \:R_{BC} = 100\:\Omega \:\pm \:0.5\%; \: R_{CD}$ is an ...
Arjun
15.9k
points
Arjun
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Feb 15, 2022
new
gate2022-ee
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GATE Electrical 2022 | Question: 9
The open loop transfer function of a unity gain negative feedback system is given by $G\left ( s \right ) = \dfrac{k}{s^{2}+4s-5}$. The range of $k$ for which the system is stable, is $k> 3$ $k< 3$ $k> 5$ $k< 5$
The open loop transfer function of a unity gain negative feedback system is given by $G\left ( s \right ) = \dfrac{k}{s^{2}+4s-5}$. The range of $k$ for which the system ...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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GATE Electrical 2022 | Question: 10
Consider a $3\times 3$ matrix $A$ whose $(i,j)$-th element, $a_{i,j} = \left ( i- j \right )^{3}$. Then the matrix $A$ will be symmetric skew-symmetric unitary null
Consider a $3\times 3$ matrix $A$ whose $(i,j)$-th element, $a_{i,j} = \left ( i- j \right )^{3}$. Then the matrix $A$ will besymmetricskew-symmetricunitarynull
Arjun
15.9k
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Arjun
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Feb 15, 2022
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GATE Electrical 2022 | Question: 11
In the circuit shown below, a three-phase star-connected unbalanced load is connect to a balanced three-phase supply of $100\:\sqrt{3}\:V$ with phase sequence $\text{ABC}$. The star connected load has $Z_{A} = 10\:\Omega$ ... is zero, is $20\angle -30^{\circ}$ $20\angle 30^{\circ}$ $20\angle -60^{\circ}$ $20\angle 60^{\circ}$
In the circuit shown below, a three-phase star-connected unbalanced load is connect to a balanced three-phase supply of $100\:\sqrt{3}\:V$ with phase sequence $\text{ABC}...
Arjun
15.9k
points
Arjun
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Feb 15, 2022
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gate2022-ee
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GATE Electrical 2022 | Question: 12
A charger supplies $100\:W$ at $20\:V$ for charging the battery of a laptop. The power devices, used in the converter inside the charger, operate at a switching frequency of $200$ $\text{kHz}$. Which power device is best suited for this purpose? $\text{IGBT}$ Thyristor $\text{MOSFET}$ $\text{BJT}$
A charger supplies $100\:W$ at $20\:V$ for charging the battery of a laptop. The power devices, used in the converter inside the charger, operate at a switching frequency...
Arjun
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Arjun
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Feb 15, 2022
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GATE Electrical 2022 | Question: 13
A long conducing cylinder having a radius $'b'$ is placed along the $z$ axis. The current density is $J = J_{a} \:r^{3}\:\hat{z}$ for the region $r< b$ where $r$ is the distance in the radial direction. The magnetic field intensity $\text{(H)}$ for the region inside the conductor ... $\dfrac{J_{a}}{3}\:r^{3}$ $\dfrac{J_{a}}{5}\:r^{4}$ $J_{a}\:r^{3}$
A long conducing cylinder having a radius $’b’$ is placed along the $z$ axis. The current density is $J = J_{a} \:r^{3}\:\hat{z}$ for the region $r< b$ where $r$ is t...
Arjun
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Arjun
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Feb 15, 2022
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gate2022-ee
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GATE Electrical 2022 | Question: 14
The type of single-phase induction motor, expected to have the maximum power factor during steady state running condition, is split phase (resistance start). shaded pole. capacitor start. capacitor start, capacitor run.
The type of single-phase induction motor, expected to have the maximum power factor during steady state running condition, issplit phase (resistance start).shaded pole.ca...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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gate2022-ee
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GATE Electrical 2022 | Question: 15
For the circuit shown below with ideal diodes, the output will be $V_{\text{out}} = V _{\text{in}}$ for $V_{\text{in}}> 0$ $V_{\text{out}} = V_{\text{in}}$ for $V_{\text{in}}< 0$ $V_{\text{out}} = -V_{\text{in}}$ for $V_{\text{in}}> 0$ $V_{\text{out}} = -V_{\text{in}}$ for $V_{\text{in}}< 0$
For the circuit shown below with ideal diodes, the output will be$V_{\text{out}} = V _{\text{in}}$ for $V_{\text{in}} 0$$V_{\text{out}} = V_{\text{in}}$ for $V_{\text{in...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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GATE Electrical 2022 | Question: 16
A $\text{MOD 2}$ and a $\text{MOD 5}$ up-counter when cascade together results in a $\text{MOD}$ _________________ counter. (in integer)
A $\text{MOD 2}$ and a $\text{MOD 5}$ up-counter when cascade together results in a $\text{MOD}$ _________________ counter. (in integer)
Arjun
15.9k
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Arjun
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Feb 15, 2022
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gate2022-ee
numerical-answers
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GATE Electrical 2022 | Question: 17
An inductor having a $Q$ – factor of $60$ is connected in series with a capacitor having a $Q$ – factor of $240$. The overall $Q$ -factor of the circuit is _______________. (round off to nearest integer)
An inductor having a $Q$ – factor of $60$ is connected in series with a capacitor having a $Q$ – factor of $240$. The overall $Q$ -factor of the circuit is __________...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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numerical-answers
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GATE Electrical 2022 | Question: 18
The network shown below has a resonant frequency of $150$ $\text{kHz}$ and a bandwidth of $600$ $\text{Hz}$. The $Q$ –factor of the network is ______________. (round off to nearest integer)
The network shown below has a resonant frequency of $150$ $\text{kHz}$ and a bandwidth of $600$ $\text{Hz}$. The $Q$ –factor of the network is ______________. (round of...
Arjun
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Arjun
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Feb 15, 2022
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numerical-answers
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GATE Electrical 2022 | Question: 19
The maximum clock frequency in $\text{MHz}$ of a $4$ – stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of $20\:ns$, is _______________. (round off to one decimal place)
The maximum clock frequency in $\text{MHz}$ of a $4$ – stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of $20\:ns$, is ______...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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gate2022-ee
numerical-answers
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GATE Electrical 2022 | Question: 20
If only $5\%$ of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ________________. (round off to nearest integer)
If only $5\%$ of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ________________. (round off to nearest integer)
Arjun
15.9k
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Arjun
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Feb 15, 2022
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numerical-answers
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GATE Electrical 2022 | Question: 21
In the circuit shown below, the switch $S$ is closed at $t = 0$. The magnitude of the steady state voltage, in volts, across the $6 \Omega$ resistor is ________________. (round off to two decimal places)
In the circuit shown below, the switch $S$ is closed at $t = 0$. The magnitude of the steady state voltage, in volts, across the $6 \Omega$ resistor is ________________. ...
Arjun
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Arjun
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Feb 15, 2022
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GATE Electrical 2022 | Question: 22
A single-phase full-bridge diode rectifier feeds a resistive load of $50\; \Omega$ from a $200\:V$, $50\:Hz$ single phase $\text{AC}$ supply. If the diodes are ideal, then the active power, in watts, drawn by the load is __________________. (round off to nearest integer)
A single-phase full-bridge diode rectifier feeds a resistive load of $50\; \Omega$ from a $200\:V$, $50\:Hz$ single phase $\text{AC}$ supply. If the diodes are ideal, the...
Arjun
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Arjun
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Feb 15, 2022
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numerical-answers
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GATE Electrical 2022 | Question: 23
The voltage at the input of an $\text{AC-DC}$ rectifier is given by $v\left ( t \right ) = 230 \sqrt{2} \sin \omega t$ where $\omega = 2\pi \times 50$ ... . The input power factor, (rounded off to two decimal places), is, _______________________ lag.
The voltage at the input of an $\text{AC-DC}$ rectifier is given by $v\left ( t \right ) = 230 \sqrt{2} \sin \omega t$ where $\omega = 2\pi \times 50$ rad/s. The input cu...
Arjun
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Arjun
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GATE Electrical 2022 | Question: 24
Two balanced three-phase loads, as shown in the figure, are connected to a $100\sqrt{3}\:V$, three-phase, $50\:Hz$, main supply. Given $Z_{1} = \left ( 18 +j24 \right )\Omega$ and $Z_{2} = \left ( 6 +j8 \right )\Omega$. The ammeter reading, in amperes, is ____________________. (round off to nearest integer)
Two balanced three-phase loads, as shown in the figure, are connected to a $100\sqrt{3}\:V$, three-phase, $50\:Hz$, main supply. Given $Z_{1} = \left ( 18 +j24 \right )\O...
Arjun
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Arjun
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GATE Electrical 2022 | Question: 26
The output impedance of a non-ideal operational amplifier is denoted by $Z_{out}$. The variation in the magnitude of $Z_{out}$ with increasing frequency, $f$, in the circuit shown below, is best represented by A. B. C. D.
The output impedance of a non-ideal operational amplifier is denoted by $Z_{out}$. The variation in the magnitude of $Z_{out}$ with increasing frequency, $f$, in the circ...
Arjun
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Arjun
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GATE Electrical 2022 | Question: 27
An $\text{LTI}$ system is shown in the figure where $G \left ( s \right ) = \dfrac{100}{s^{2}+0.1s+100}$ The steady state output of the system, to the input $r(t)$, is given as $y \left ( t \right ) = a +b\:\sin\left ( 10t + \theta \right )$ The values of $’a’$ and $’b’$ will be $a = 1, b=10$ $a = 10, b=1$ $a = 1, b=100$ $a = 100, b=1$
An $\text{LTI}$ system is shown in the figure where $$G \left ( s \right ) = \dfrac{100}{s^{2}+0.1s+100}$$ The steady state output of the system, to the input $r(t)$, is ...
Arjun
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Arjun
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GATE Electrical 2022 | Question: 28
The open loop transfer function of a unity gain negative feedback system is given as $G \left ( s \right ) = \dfrac{1}{s\left ( s+1 \right )}$ The Nyquist contour in the $s$ -plane encloses the entire right half plane and a small neighbourhood around the ... $G(s)$, corresponding to the Nyquist contour, is denoted as $N$. Then $N$ equals to $0$ $1$ $2$ $3$
The open loop transfer function of a unity gain negative feedback system is given as $$G \left ( s \right ) = \dfrac{1}{s\left ( s+1 \right )}$$The Nyquist contour in the...
Arjun
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GATE Electrical 2022 | Question: 32
Consider a matrix $A = \begin{bmatrix} 1 & 0 & 0\\ 0 & 4 & -2\\ 0 & 1 & 1 \end{bmatrix}$. The matrix $A$ satisfies the equation $6A^{-1} = A^{2} + cA + dl$, where $c$ and $d$ are scalars and $I$ is the identity matrix. Then $\left ( c + d \right )$ is equal to $5$ $17$ $-6$ $11$
Consider a matrix $A = \begin{bmatrix} 1 & 0 & 0\\ 0 & 4 & -2\\ 0 & 1 & 1 \end{bmatrix}$.The matrix $A$ satisfies the equation $6A^{-1} = A^{2} + cA + dl$, where $c$ and ...
Arjun
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GATE Electrical 2022 | Question: 33
The fuel cost functions in rupees/hour for two $600$ $\text{MW}$ thermal power plants are given by Plant $1$ : $C_{1} = 350 + 6P_{1} + 0.004P_{1}^{2}$ Plant $2$ : $C_{2} = 450 + aP_{2} + 0.003P_{2}^{2}$ where $P_{1}$ and $P_{2}$ ... $1$ and plant $2$ in $\text{MW}$, respectively, are $200, 350$ $250, 300$ $325, 225$ $350, 200$
The fuel cost functions in rupees/hour for two $600$ $\text{MW}$ thermal power plants are given byPlant $1$ : $C_{1} = 350 + 6P_{1} + 0.004P_{1}^{2}$Plant $2$ : $C_{2} = ...
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GATE Electrical 2022 | Question: 34
The current gain $( I_{\text{out}}/I_{\text{in}})$ in the circuit with an ideal current amplifier given below is $\dfrac{C_{f}}{C_{c}}$ $\dfrac{-C_{f}}{C_{c}}$ $\dfrac{C_{c}}{C_{f}}$ $\dfrac{-C_{c}}{C_{f}}$
The current gain $( I_{\text{out}}/I_{\text{in}})$ in the circuit with an ideal current amplifier given below is$\dfrac{C_{f}}{C_{c}}$$\dfrac{-C_{f}}{C_{c}}$$\dfrac{C_{c}...
Arjun
15.9k
points
Arjun
asked
Feb 15, 2022
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gate2022-ee
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