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261

GATE Electrical 2021 | Question: 34
In the figure shown, self-impedances 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 steady-state real power that can be transferred ... $2\left | E \right |\left | V \right |$ $\frac{3\left | E \right |\left | V \right |}{2}$

In the figure shown, self-impedances 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 ...

Arjun

15.9k points

Arjun asked Feb 19, 2021

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262

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 $F\left ( \omega \right )=\int\limits_{-\infty }^{\infty }\:f\left ( t \right )e^{-j\omega t}dt$ ... $f\left ( 0 \right )< 1$ $f\left ( 0 \right )> 1$ $f\left ( 0 \right )= 1$ $f\left ( 0 \right )= 0$

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 ...

Arjun

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Arjun asked Feb 19, 2021

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263

GATE Electrical 2021 | Question: 45
An $8$-pole, $50 \:Hz$, three-phase, slip-ring 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.

An $8$-pole, $50 \:Hz$, three-phase, slip-ring induction motor has an effective rotor resistance of $0.08\:\Omega$ per phase. Its speed at maximum torque is $650 \text{ R...

Arjun

15.9k points

Arjun asked Feb 19, 2021

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264

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 steady-state error should not exceed $0.1$ unit. The minimum value of $K$ is _____________. (Round off to $2$ decimal places.)

In the given figure, plant $G_{P}\left ( s \right )=\dfrac{2.2}{\left ( 1+0.1s \right )\left ( 1+0.4s \right )\left ( 1+1.2s \right )}$ and compensator $G_{C}\left ( s \r...

Arjun

15.9k points

Arjun asked Feb 19, 2021

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265

GATE Electrical 2021 | Question: 49
The state space representation of a first-order 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 closed-loop pole at $-2$, the value of $K$ is ___________________.

The state space representation of a first-order 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 t...

Arjun

15.9k points

Arjun asked Feb 19, 2021

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266

GATE Electrical 2021 | Question: 31
The casual signal with $z$-transformer $Z^{2}\left ( Z-a \right )^{-2}$ is ($u[n]$ is the unit step signal) $a^{2n}u\left [ n \right ]$ $\left ( n+1 \right )a^{n}u\left [ n \right ]$ $n^{-1}a^{n}u\left [ n \right ]$ $n^{2}a^{n}u\left [ n \right ]$

The casual signal with $z$-transformer $Z^{2}\left ( Z-a \right )^{-2}$ is ($u[n]$ is the unit step signal)$a^{2n}u\left [ n \right ]$$\left ( n+1 \right )a^{n}u\left [ n...

Arjun

15.9k points

Arjun asked Feb 19, 2021

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0 answers

267

GATE Electrical 2021 | Question: 36
Suppose $I_{A},\:I_{B}$ and $I_{C}$ are a set of unbalanced current phasors in a three-phase system. The phase-$B$ zero-sequence 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-$C$ ... $1.1\angle -120^{\circ}+0.1\angle 0^{\circ}$ $1\angle -120^{\circ}+0.1\angle 0^{\circ}$

Suppose $I_{A},\:I_{B}$ and $I_{C}$ are a set of unbalanced current phasors in a three-phase system. The phase-$B$ zero-sequence current $I_{B0}=0.1\angle 0^{\circ}$ $p.u...

Arjun

15.9k points

Arjun asked Feb 19, 2021

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0 answers

268

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 steady-state condition, the average resistance $R_{\text{in}}$ as seen by the source is __________ $\Omega$. (Round off to $2$ decimal places).

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 steady-state con...

Arjun

15.9k points

Arjun asked Feb 19, 2021

0 votes

1 answer

269

GATE Electrical 2019 | GA Question: 7
The ration of the number of boys and girls who participated in an examination is $4:3.$ The total percentage of candidates who passed the examination is $80$ and the percentage of girls who passed the exam is $90.$ The percentage of boys who passed is _______. $55.50$ $72.50$ $80.50$ $90.00$

The ration of the number of boys and girls who participated in an examination is $4:3.$ The total percentage of candidates who passed the examination is $80$ and the perc...

Arjun

15.9k points

Arjun asked Feb 12, 2019

0 votes

1 answer

270

GATE Electrical 2019 | GA Question: 6
How many integers are there between $100$ and $1000$ all of whose digits are even? $60$ $80$ $100$ $90$

How many integers are there between $100$ and $1000$ all of whose digits are even?$60$$80$$100$$90$

Arjun

15.9k points

Arjun asked Feb 12, 2019

1 votes

2 answers

271

GATE Electrical 2020 | GA Question: 10
The revenue and expenditure of four different companies $\text{P, Q, R and S}$ in $2015$ are shown in the figure. If the revenue of company $\text{Q}$ in $2015$ was $20$% more than that in $2014$, and company $\text{Q}$ had earned a profit of ... expenditure in $2014$, then its expenditure (in million rupees) in $2014$ was _______. $32.7$ $33.7$ $34.1$ $35.1$

The revenue and expenditure of four different companies $\text{P, Q, R and S}$ in $2015$ are shown in the figure. If the revenue of company $\text{Q}$ in $2015$ was $20$%...

go_editor

1.9k points

go_editor asked Feb 28, 2020

1 votes

1 answer

272

GATE Electrical 2020 | GA Question: 2
People were prohibited_____their vehicles near the entrance of the main administrative building. to park from parking parking to have parked

People were prohibited_____their vehicles near the entrance of the main administrative building.to parkfrom parkingparkingto have parked

go_editor

1.9k points

go_editor asked Feb 28, 2020

0 votes

1 answer

273

GATE Electrical 2020 | Question: 1
$ax^{3}+bx^{2}+cx+d$ is a polynomial on real $\text{x}$ over real coefficients $\text{a, b, c, d}$ wherein $a\neq 0.$ Which of the following statements is true? $\text{d}$ can be chosen to ensure that $\text{x = 0}$ is a root for any ... $\text{a, b, c, d}$ can be chosen to ensure that all roots are complex. $\text{c}$ alone cannot ensure that all roots are real.

$ax^{3}+bx^{2}+cx+d$ is a polynomial on real $\text{x}$ over real coefficients $\text{a, b, c, d}$ wherein $a\neq 0.$ Which of the following statements is true?$\text{d}$...

go_editor

1.9k points

go_editor asked Feb 28, 2020

2 votes

1 answer

274

GATE Electrical 2020 | GA Question: 8
In four-digit integer numbers from $1001$ to $9999$, the digit group $\text{“37”}$ (in the same sequence) appears ________ times. $270$ $279$ $280$ $299$

In four-digit integer numbers from $1001$ to $9999$, the digit group $\text{“37”}$ (in the same sequence) appears ________ times.$270$$279$$280$$299$

go_editor

1.9k points

go_editor asked Feb 28, 2020

1 votes

1 answer

275

GATE Electrical 2015 Set 2 | Question: 38
A Boolean function $f(A, B, C, D) = \prod (1,5,12,15)$ is to be implemented using an $8 \times 1$ multiplexer ($A$ is $MSB$). The inputs $ABC$ are connected to the select inputs $S_{2} S_{1} S_{0}$ of the multiplexer respectively. Which one of the following ... $D, 1, D, 1, 1, 1, \overline{D}, D$ $\overline{D}, 0, \overline{D}, 0, 0, 0,D, \overline{D}$

A Boolean function $f(A, B, C, D) = \prod (1,5,12,15)$ is to be implemented using an $8 \times 1$ multiplexer ($A$ is $MSB$). The inputs $ABC$ are connected to the selec...

makhdoom ghaya

9.4k points

makhdoom ghaya asked Feb 11, 2017

2 votes

1 answer

276

GATE Electrical 2020 | GA Question: 5
If $\text{P, Q, R, S}$ are four individuals, how many teams of size exceeding one can be formed, with $\text{Q}$ as a member? $5$ $6$ $7$ $8$

If $\text{P, Q, R, S}$ are four individuals, how many teams of size exceeding one can be formed, with $\text{Q}$ as a member?$5$$6$$7$$8$

go_editor

1.9k points

go_editor asked Feb 28, 2020

1 votes

1 answer

277

GATE Electrical 2020 | GA Question: 9
Given a semicircle with $\text{O}$ as the centre, as shown in the figure, the ratio $\dfrac{\overline{AC}+\overline{CB}}{\overline{AB}}$ is _______, where $\overline{AC}$, $\overline{CB}$ and $\overline{AB}$ are chords. $\sqrt{2}$ $\sqrt{3}$ $2$ $3$

Given a semicircle with $\text{O}$ as the centre, as shown in the figure, the ratio $\dfrac{\overline{AC}+\overline{CB}}{\overline{AB}}$ is _______, where $\overline{AC}$...

go_editor

1.9k points

go_editor asked Feb 28, 2020

2 votes

1 answer

278

GATE Electrical 2020 | GA Question: 6
Non-performing Assets $\text{(NPAs)}$ of a bank in India is defined as an asset, which remains unpaid by a borrower for a certain period of time in terms of interest, principal, or both. Reserve Bank of India $\text{(RBI)}$ has changed the ... the holding period of loans in $\text{2004}$ after the third revision was ______ days. $45$ $90$ $135$ $180$

Non-performing Assets $\text{(NPAs)}$ of a bank in India is defined as an asset, which remains unpaid by a borrower for a certain period of time in terms of interest, pri...

go_editor

1.9k points

go_editor asked Feb 28, 2020

1 votes

1 answer

279

GATE Electrical 2020 | GA Question: 3
Select the word that fits the analogy: Do : Undo :: Trust : ______ Entrust Intrust Distrust Untrust

Select the word that fits the analogy:Do : Undo :: Trust : ______EntrustIntrustDistrustUntrust

go_editor

1.9k points

go_editor asked Feb 28, 2020

2 votes

1 answer

280

GATE Electrical 2020 | GA Question: 4
Stock markets _______ at the news of the coup. poised plunged plugged probed

Stock markets _______ at the news of the coup.poisedplungedpluggedprobed

go_editor

1.9k points

go_editor asked Feb 28, 2020