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GATE2019 EE: 27
The closedloop line integral $\oint_{z = 5} \frac{z^3 + z^2 + 8}{z+2}dz$ Evaluated Counterclockwise is $+8j\pi$ $8j\pi$ $4j\pi$ $+4\pi$
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Jul 23
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ajaysoni1924
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100
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2
GATE2019 EE: 28
A periodic function $\large{f(t)},$ with a period of 2$\pi$, is represented as its fourier series, $\large{f(t)} = a_0 + \sum_{n=1}^{\infty }a_n cos nt + \sum_{n=1}^{\infty} b_n sin nt.$}$ If $\large{f(t)} = \left\{\begin{matrix} Asint, & 0 \le t\le \pi\\ 0, & \pi ... $a_1 = \frac{A}{2}; b_1 = 0$ $a_1 = 0;b_1 = \frac{A}{\pi}$ $a_1 = 0;b_1 = \frac{A}{2}$
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Jul 23
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ajaysoni1924
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100
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gate2019ee
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GATE2019 EE: 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 the row ... Statement 1 is 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
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Jul 23
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ajaysoni1924
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100
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gate2019ee
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4
GATE2019 EE: 25
The output voltage of a singlephase fullbridge 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 ___________.
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Jul 23
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ajaysoni1924
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100
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gate2019ee
numericalanswers
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GATE2019 EE: 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 ____________.
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Jul 23
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ajaysoni1924
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100
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gate2019ee
numericalanswers
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6
GATE2019 EE: 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_________.
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Jul 23
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100
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gate2019ee
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7
GATE2019 EE: 24
The Rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.
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Jul 23
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ajaysoni1924
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100
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gate2019ee
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8
GATE2019 EE: 21
The $Y_{bus}$ matrix of a twobus power system having two identical parallel lines connected between them in pu is given as $Y_{bus} = \begin{bmatrix} j8 & j20 \\ j20& j8 \end{bmatrix}$ The magnitudde of the series reactance of each line in pu (round off upto one decimal place) is__________.
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Jul 23
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ajaysoni1924
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100
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gate2019ee
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9
GATE2019 EE: 20
A coaxial Cylindrical capacitor is shown in the Figure(i) has dielectric with relative permittivity $\epsilon_{r1} = 2.$. When one – fourth portion of the dielectric is replaced with another dielectric of relative permittivity $\epsilon_{r2}$, as shown in the Figure(ii), the capacitance is doubled. The value of $\epsilon_{r2}$ is _________.
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Jul 23
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ajaysoni1924
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100
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gate2019ee
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10
GATE2019 EE: 19
The current $I$ is flowing in the circuit shown below in amperes (round off to one decimal place) is _____
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Jul 23
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ajaysoni1924
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100
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gate2019ee
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11
GATE2019 EE: 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 $81$
answer selected
Jun 7
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by
srestha
(
110
points)
gate2019ee
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12
GATE2019 EE: 18
If $f=2x^{3}+3y^{2}+4z,$ the value of line integral $\int_{c}$ grad$f.dr$ evaluated over contour $C$ formed by the segments $(3,3,2)\rightarrow(2,3,2)\rightarrow(2,6,2) \rightarrow(2,6,1) $ is___________.
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May 31
in
new
by
Pooja Khatri
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100
points)
gate2019ee
numericalanswers
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13
GATE2019 EE: 17
A current controlled current source (CCCS) has an input impedance of $10 \Omega$ and output impedance of $100k\Omega$. When this CCCS is used in a negative feedback closed loop with a loop gain of $9$, the closed loop output impedance is $10 \Omega$ $100 \Omega$ $100 k\Omega$ $1000 k\Omega$
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May 31
in
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Pooja Khatri
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100
points)
gate2019ee
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14
GATE2019 EE: 16
Given $V_{gs}$ is the gatesource voltage, $V_{ds}$ is the drain source voltage, and $V_{th}$ is the threshold voltage of an enhancement type NMOS transistor, the conditions for transistor to be biased in saturation are $V_{gs}<V_{th};V_{ds}\geq V_{gs}V_{th}$ ... $V_{gs}>V_{th};V_{ds}\leq V_{gs}V_{th}$ $V_{gs}<V_{th};V_{ds}\leq V_{gs}V_{th}$
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May 31
in
new
by
Pooja Khatri
(
100
points)
gate2019ee
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15
GATE2019 EE: 15
The characteristics equation of a linear timeinvariant (LTI) system is given by $\Delta(s)=s^{4}+3s^{3}+3s^{2}+s+k=0$ The system is BIBO stable if $0<K<\frac{12}{9}$ $k>3$ $0<k<\frac{8}{9}$ $k>6$
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May 31
in
new
by
Pooja Khatri
(
100
points)
gate2019ee
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16
GATE2019 EE: 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 $(0.5,j0)$ $(0.75,j0)$ $(1.25,j0)$ $(1.5,j0)$
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May 31
in
new
by
Pooja Khatri
(
100
points)
gate2019ee
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17
GATE2019 EE: 13
The output response of a system is denoted as $y(t)$, and its Laplace transform is given by $Y(s)=\frac{10}{s(s^{2}+s+100 \sqrt{2})}$ The steady state value of $y(t)$ is $\frac{1}{10 \sqrt{2}}$ $10 \sqrt{2}$ $\frac{1}{100 \sqrt{2}}$ $100 \sqrt{2}$
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May 31
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by
Pooja Khatri
(
100
points)
gate2019ee
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18
GATE2019 EE: 12
In the circuit shown below, the switch is closed at $t=0$. The value of $\theta$ in degrees which whill give the maximum value of DC offset of the current at the time of switching is $60$ $45$ $90$ $30$
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May 31
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Pooja Khatri
(
100
points)
gate2019ee
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19
GATE2019 EE: 11
A threephase synchronous motor draws $200 A$ from the line at unity power factor at rated load. Considering the same line voltage and load, the line current at a power factor of $0.5$ leading is $100 A$ $200 A$ $300 A$ $400 A$
edited
May 31
in
new
by
Pooja Khatri
(
100
points)
gate2019ee
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20
GATE2019 EE: 10
The parameter of an equivalent circuit of a threephase 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
edited
May 31
in
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by
Pooja Khatri
(
100
points)
gate2019ee
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21
GATE2019 EE: 9
A sixpulse thyristor bridge rectifier is connected to a balanced threephase, $50Hz$ AC source. Assuming that the DC output current of the rectifier is constant, the lowest harmonic component in the AC input current is $100 Hz$ $150 Hz$ $250 Hz$ $300 Hz$
edited
May 31
in
new
by
Pooja Khatri
(
100
points)
gate2019ee
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22
GATE2019 EE: 8
A $5kVA, 50V/100V,$ singlephase transformer has a secondary terminal voltage of $95V$ when loaded. The regulation of the transformer is $4.5\%$ $9\%$ $5\%$ $1\%$
edited
May 31
in
new
by
Pooja Khatri
(
100
points)
gate2019ee
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23
GATE2019 EE: 7
The symbols, $a$ and $T,$ represent positive quantities, and $u(t)$ is the unit step function. Which one of the following impulse responses is NOT the output of a causal linear timeinvariant system? $e^{+at}u(t)$ $e^{a(t+T)}u(t)$ $1+e^{at}u(t)$ $e^{a(tT)}u(t)$
edited
May 31
in
new
by
Pooja Khatri
(
100
points)
gate2019ee
0
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24
GATE2019 EE: 6
A system transfer function is $H(s)= \frac{a_{1}s^{2}+b_{1}s+c_{1}}{a_{2}s^{2}+b_{2}s+c_{2}}.$ If $a_{1}=b_{1}=0,$ and all the other coefficient are positive, the transfer function represents a low pass filter high pass filter band pass filter notch filter
edited
May 31
in
new
by
Pooja Khatri
(
100
points)
gate2019ee
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25
GATE2019 EE: 5
The meansquare of a zeromean 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 $\frac{kT}{c}$ $\sqrt{\frac{kT}{c}}$ $\frac{c}{kT}$ $\frac{\sqrt{kT}}{c}$
edited
May 31
in
new
by
Pooja Khatri
(
100
points)
gate2019ee
0
votes
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26
GATE2019 EE: 4
Which one of the following functions is analytic in the region $z \leq 1$ ? $\frac{z^{2}1}{z}$ $\frac{z^{2}1}{z+2}$ $\frac{z^{2}1}{z0.5}$ $\frac{z^{2}1}{z+j0.5}$
edited
May 31
in
new
by
Pooja Khatri
(
100
points)
gate2019ee
0
votes
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27
GATE2019 EE: 3
The partial differential equation $\frac{\partial^{2}u}{\partial t^{2}} C^{2}(\frac{\partial^{2}u}{\partial x^{2}}+\frac{\partial^{2}u}{\partial y^{2}})=0; where \quad c \neq 0$ heat equation wave equation Poisson’s equation Laplace equation
edited
May 31
in
new
by
Pooja Khatri
(
100
points)
gate2019ee
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28
GATE2019 EE: 1
The inverse Laplace transform of $H(s)=\frac{s+3}{s^{2}+2s+1} for \quad t \geq0$ $3te^{t}+e^{t}$ $3e^{t}$ $2te^{t}+e^{t}$ $4te^{t}+e^{t}$
edited
May 31
in
new
by
Pooja Khatri
(
100
points)
gate2019ee
0
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29
GATE20171GA10
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$m intervals in this plot. If in a flood, the water level rises to $525$m, which of the villages $P, Q, R, S, T$ get submerged? $P, Q$ $P, Q, T$ $R, S, T$ $Q, R, S$
recategorized
May 29
in
Numerical Ability
by
Lakshman Patel RJIT
(
110
points)
gate2017ee1
0
votes
0
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30
GATE20171GA9
Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured Red, Pink, Blue and White respectively. Arun dislikes the colour red and Shweta dislikes the colour white. Gulab and Neel like all the colours. In how many different ways can they choose the shirts so that no one has a shirt with a colour he or she dislikes? $21$ $18$ $16$ $14$
recategorized
May 29
in
Numerical Ability
by
Lakshman Patel RJIT
(
110
points)
gate2017ee1
0
votes
0
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31
GATE20171GA8
The expression $\frac{(x+y)xy}{2}$ is equal to The maximum of $x$ and $y$ The minimum of $x$ and $y$ $1$ None of the above.
recategorized
May 29
in
Numerical Ability
by
Lakshman Patel RJIT
(
110
points)
gate2017ee1
0
votes
0
answers
32
GATE20171GA7
Six people are seated around a circular table. There are at least two men and two women. There are at least three righthanded persons. Every women has a lefthanded person to her immediate right. None of the women are righthanded. The number of women at the table is $2$ $3$ $4$ Cannot be determined.
recategorized
May 29
in
Numerical Ability
by
Lakshman Patel RJIT
(
110
points)
gate2017ee1
0
votes
0
answers
33
GATE20171GA6
"The hold of the nationalist imagination on our colonial past is such that anything inadequately or improperly nationalist is just not history." Which of the following statements best reflects the author's opinion? Nationalists are highly ... the filter of nationalism. Our colonial past never happened. Nationalism has to be both adequately and properly imagined.
recategorized
May 29
in
Verbal Ability
by
Lakshman Patel RJIT
(
110
points)
gate2017ee1
0
votes
0
answers
34
GATE20171GA5
The probability that a $k$digit number does NOT contain the digits $0, 5$ or $9$ is $0.3^{k}$ $0.6^{k}$ $0.7^{k}$ $0.9^{k}$
recategorized
May 29
in
Numerical Ability
by
Lakshman Patel RJIT
(
110
points)
gate2017ee1
0
votes
0
answers
35
GATE20171GA4
Find the smallest number $y$ such that $y \times 162$ is a perfect cube. $24$ $27$ $32$ $36$
recategorized
May 29
in
Numerical Ability
by
Lakshman Patel RJIT
(
110
points)
gate2017ee1
0
votes
0
answers
36
GATE20171GA3
Rahul, Murali, Srinivas and Arul are seated around a square table. Rahul is sitting to the left of Murali. Srinivas is sitting to the right of Arul. Which of the following pairs are seated opposite each other? Rahul and Murali Srinivas and Arul Srinivas and Murali Srinivas and Rahul
recategorized
May 29
in
Numerical Ability
by
Lakshman Patel RJIT
(
110
points)
gate2017ee1
0
votes
0
answers
37
GATE20171GA2
Research in the workplace reveals that people work for many reasons ________. Money beside Beside money Money besides Besides money
recategorized
May 29
in
Verbal Ability
by
Lakshman Patel RJIT
(
110
points)
gate2017ee1
0
votes
0
answers
38
GATE20171GA1
After Rajendra Chola returned from his voyage to Indonesia, he ________ to visit the temple in Thanjavur. Was wishing Is wishing Wished Had wished
recategorized
May 29
in
Verbal Ability
by
Lakshman Patel RJIT
(
110
points)
gate2017ee1
0
votes
0
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39
GATE2017155
The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for electrical power is $1.5 \sin \delta$, where $\delta$ is the rotor angle. The system is operating at the stable equilibrium point with mechanical power equal to ... $P_{\max}$, in pu is ______. (Give the answer up to three decimal places.)
edited
May 29
in
new
by
Lakshman Patel RJIT
(
110
points)
gate2017ee1
0
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0
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40
GATE2017154
The positive, negative, and zero sequence reactances of a wyeconnected synchronous generator are $0.2$pu, $0.2$pu, and $0.1$pu, respectively. The generator is an open circuit with a terminal voltage of $1$pu. The minimum value of the inductive ... ground fault occurs at the terminals is ___________ (assume fault impedance to be zero). (Give the answer up to one decimal place.)
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May 29
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Others
by
Lakshman Patel RJIT
(
110
points)
gate2017ee1
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