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GATE Electrical 2022 | Question: 43
As shown in the figure below, two concentric conducting spherical shells, centered at $r = 0$ and having radii $r = c$ and $r = d$ are maintained at potentials such that the potential $\text{V(r)}$ at $r = c$ is $V_{1}$ and $\text{V(r)}$ at $r = d$ is $V_{2}$. Assume ...

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makhdoom ghaya edited in new Jul 7, 2022

GATE Electrical 2022 | Question: 41
Let $R$ be a region in the first quadrant of the $xy$ plane enclosed by a closed curve $C$ considered in counter-clockwise direction. Which of the following expressions does not represent the area of the region $R$? $\displaystyle\iint_{R} dxdy$ $\oint _{C}xdy$ $\oint _{C}ydx$ $\dfrac{1}{2}\oint _{C}\left ( xdy -ydx \right )$

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makhdoom ghaya edited in new Jul 7, 2022

GATE Electrical 2022 | Question: 38
Consider the system as shown below Where $y(t)=x(e^t).$ The system is linear and casual linear and non-casual non-linear and casual non-linear and non-casual

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makhdoom ghaya edited in new Jul 6, 2022

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 $a = 1, b=10$ $a = 10, b=1$ $a = 1, b=100$ $a = 100, b=1$

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makhdoom ghaya edited in new Jul 6, 2022

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.

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makhdoom ghaya edited in new Jul 6, 2022

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.

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makhdoom ghaya edited in new Jul 6, 2022

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 $4\:r$ $1.414\:r$ $2\:r$ $1.723\:r$

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makhdoom ghaya edited in new Jul 6, 2022

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.

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makhdoom ghaya edited in Spatial Aptitude Jul 6, 2022

GATE Electrical 2014 Set 1 | GA Question: 5
The roots of $ax^{2}+ bx + c = 0$ are real and positive. $a, b$ and $c$ are real. Then $ ax^2 + b \mid x \mid + c = 0$ has no roots $2$ real roots $3$ real roots $4$ real roots

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Shiva Sagar Rao commented in Quantitative Aptitude May 7, 2022

by Shiva Sagar Rao

100 points

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GATE Electrical 2021 | GA Question: 4
Which one of the following numbers is exactly divisible by $\left ( 11^{13} +1\right )$? $11^{26} +1$ $11^{33} +1$ $11^{39} -1$ $11^{52} -1$

Tharun_Kumar answered in Quantitative Aptitude May 7, 2022

by Tharun_Kumar

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GATE Electrical 2019 | GA Question: 3
The missing number in the given sequence $343,1331,$_____$,4913$ is $3375$ $2744$ $2197$ $4096$

Tharun_Kumar commented in Analytical Aptitude May 7, 2022

by Tharun_Kumar

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GATE Electrical 2018 | Question: 21
The positive, negative and zero sequence impedances of a $125$ MVA, three-phase, $15.5$ kV, star-gounded, $50$ Hz generator are $j0.1$ pu, $j0.05$ pu and $j0.01$ pu respectively on the machine rating base. The machine is unloaded and working ... then the magnitude of fault current for a $b$-phase to ground fault (in kA) is __________ (up to $2$ decimal places).

priyanshsoni commented in new May 7, 2022

by priyanshsoni

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22

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 _________.

samim answered in new May 7, 2022

by samim

150 points

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GATE Electrical 2020 | Question: 42
The number of purely real elements in a lower triangular representation of the given $3\times 3$ ... $5$ $6$ $8$ $9$

samarpita answered in Linear Algebra May 7, 2022

by samarpita

140 points

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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.

Lakshman Patel RJIT retagged in new Mar 21, 2022

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 ... $0$ $\frac{1}{3}$ $\frac{2}{3}$ $1$

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Lakshman Patel RJIT answered in Quantitative Aptitude Feb 26, 2022

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 ... $\text{V}$? $\frac{1}{4}$ $\frac{3}{4}$ $\frac{1}{6}$ $\frac{5}{36}$

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Lakshman Patel RJIT answered in Quantitative Aptitude Feb 26, 2022

GATE Electrical 2022 | GA Question: 9
The letters $\text{P, Q, R, S, T}$ and ${U}$ 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 $R$ and $S$ is longer than the line ... joining $U$ and $Q$ The line segment joining $Q$ and $S$ is perpendicular to the line segment joining $R$ and $P$

4.2k points

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soujanyareddy13 edited in Analytical Aptitude Feb 22, 2022

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 $-0.1\:V$

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soujanyareddy13 edited in new Feb 22, 2022

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 $20\angle -30^{\circ}$ $20\angle 30^{\circ}$ $20\angle -60^{\circ}$ $20\angle 60^{\circ}$

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soujanyareddy13 edited in new Feb 22, 2022

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 $V_{\text{in}}< 0$

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soujanyareddy13 edited in new Feb 22, 2022

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 $0$ $1$ $2$ $3$

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soujanyareddy13 edited in new Feb 22, 2022

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 $200, 350$ $250, 300$ $325, 225$ $350, 200$

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soujanyareddy13 edited in new Feb 22, 2022

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 $\dfrac{C_{f}}{C_{c}}$ $\dfrac{-C_{f}}{C_{c}}$ $\dfrac{C_{c}}{C_{f}}$ $\dfrac{-C_{c}}{C_{f}}$

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soujanyareddy13 edited in new Feb 22, 2022

GATE Electrical 2022 | GA Question: 8
The price of an item is $10\%$ cheaper in an online store $S$ compared to the price at another online store $M$. Store $S$ charges $\text{₹ }150$ for delivery. There are no delivery charges for orders from the store $M$. A person bought the items ... $S$ (in $\text{₹}$) if there are no other charges than what is described above? $2500$ $2250$ $1750$ $1500$

100 points

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Lakshman Patel RJIT answered in Quantitative Aptitude Feb 22, 2022

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

4.2k points

2 votes

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Lakshman Patel RJIT answered in Analytical Aptitude Feb 22, 2022

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? $5 : 00$ $\text{PM}$ $5 : 30$ $\text{PM}$ $6 : 00$ $\text{PM}$ $6 : 30$ $\text{PM}$

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Lakshman Patel RJIT answer edited in Quantitative Aptitude Feb 21, 2022

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? $20$ $40$ $60$ $140$

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Lakshman Patel RJIT answered in Quantitative Aptitude Feb 21, 2022

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

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Lakshman Patel RJIT answered in Verbal Aptitude Feb 21, 2022

GATE Electrical 2022 | Question: 55
A $3$-phase, $415\; V$, $4$-pole, $50\:Hz$ induction motor draws $5$ times the rated current at rated voltage at starting. It is required to bring down the starting current from the supply to $2$ times of ... of the autotransformer is neglected, then the transformation ratio of the autotransformer is given by ________________. (round off to two decimal places).

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soujanyareddy13 edited in new Feb 19, 2022

GATE Electrical 2022 | Question: 54
A star-connected $3$-phase, $400\; V$, $50$ $\text{ kVA}$, $50\; Hz$ synchronous motor has a synchronous reactance of $1$ $\text{ohm}$ per phase with negligible armature resistance. The shaft load on the motor is $10$ $\text{kW}$ ... $2\:kW$. The magnitude of the per phase excitation emf of the motor, in volts, is ______________. (round off to nearest integer).

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soujanyareddy13 edited in new Feb 19, 2022