Recent questions tagged gate2016-ee-2 / GO Electrical

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41

GATE Electrical 2016 Set 2 | Question: 15
The inductance and capacitance of a $400$ kV, three-phase, $50$ Hz lossless transmission line are $1.6$ mH/km/phase and $10$ nF/km/phase respectively. The sending end voltage is maintained at $400$ kV. To maintain a ... at the receiving end, when the line is delivering $300$ MW load, the shunt compensation required is Capacitive Inductive Resistive Zero

The inductance and capacitance of a $400$ kV, three-phase, $50$ Hz lossless transmission line are $1.6$ mH/km/phase and $10$ nF/km/phase respectively. The sending end vol...

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42

GATE Electrical 2016 Set 2 | Question: 14
A power system has $100$ buses including $10$ generator buses. For the load flow analysis using Newton-Raphson method in polar coordinates, the size of the Jacobian is $189 \times 189$ $100 \times 100$ $90 \times 90$ $180 \times 180$

A power system has $100$ buses including $10$ generator buses. For the load flow analysis using Newton-Raphson method in polar coordinates, the size of the Jacobian is$18...

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43

GATE Electrical 2016 Set 2 | Question: 13
A power system with two generators is shown in the figure below. The system (generators, buses and transmission lines) is protected by six overcurrent relays $R_{1}$ to $R_{6}$ ... are $R_{1}, R_{2}$ $R_{2}, R_{6}$ $R_{2}, R_{5}$ $R_{1}, R_{6}$

A power system with two generators is shown in the figure below. The system (generators, buses and transmission lines) is protected by six overcurrent relays $R_{1}$ to $...

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44

GATE Electrical 2016 Set 2 | Question: 9
The value of the line integral $\int_{c}^{} (2xy^{2}dx+2x^{2}y dy+dz)$ along a path joining the origin $(0, 0, 0)$ and the point $(1, 1, 1)$ is $0$ $2$ $4$ $6$

The value of the line integral$\int_{c}^{} (2xy^{2}dx+2x^{2}y dy+dz)$along a path joining the origin $(0, 0, 0)$ and the point $(1, 1, 1)$ is$0$ $2$ $4$ $6$

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45

GATE Electrical 2016 Set 2 | Question: 10
Let $f(x)$ be a real, periodic function satisfying $f(-x)=-f(x)$. The general form of its Fourier series representation would be $f(x)=a_{0}+\sum_{k=1}^{\infty}a_{k}\cos(kx)$ $f(x)=\sum_{k=1}^{\infty}b_{k}\sin(kx)$ $f(x)=a_{0}+\sum_{k=1}^{\infty}a_{2k}\cos(kx)$ $f(x)=\sum_{k=0}^{\infty}a_{2k+1}\sin(2k+1)x$

Let $f(x)$ be a real, periodic function satisfying $f(-x)=-f(x)$. The general form of its Fourier series representation would be$f(x)=a_{0}+\sum_{k=1}^{\infty}a_{k}\cos(k...

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46

GATE Electrical 2016 Set 2 | Question: 12
The voltage $(V)$ and current $(A)$ across a load are as follows. $v(t)=100\sin$ (ωt), $i(t)=10\sin(ωt-60°) + 2\sin(3ωt)+5\sin(5ωt)$ The average power consumed by the load, in $W$, is _________.

The voltage $(V)$ and current $(A)$ across a load are as follows.$v(t)=100\sin$ (ωt),$i(t)=10\sin(ωt-60°) + 2\sin(3ωt)+5\sin(5ωt)$The average power consumed by the l...

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GATE Electrical 2016 Set 2 | Question: 11
A resistance and a coil are connected in series and supplied from a single phase, $100 V, 50 Hz$ ac source as shown in the figure below. The rms values of plausible voltages across the resistance $(V_{R})$ and coil $(V_{C})$ respectively, in volts, are $65, 35$ $50, 50$ $60, 90$ $60, 80$

A resistance and a coil are connected in series and supplied from a single phase, $100 V, 50 Hz$ ac source as shown in the figure below. The rms values of plausible volta...

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48

GATE Electrical 2016 Set 2 | Question: 8
The solution of the differential equation, for $t > 0, y"(t)+2y'(t)+y(t)=0$ with initial conditions $y(0)=0$ and $y'(0)=1$, is ($u(t)$ denotes the unit step function), $te^{-t}u(t)$ $(e^{-t}-te^{-t})u(t)$ $(-e^{-t}+te^{-t})u(t)$ $e^{-t}u(t)$

The solution of the differential equation, for $t 0, y"(t)+2y'(t)+y(t)=0$ with initial conditions $y(0)=0$ and $y'(0)=1$, is ($u(t)$ denotes the unit step function),$te^...

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49

GATE Electrical 2016 Set 2 | Question: 7
A $3 \times 3$ matrix $P$ is such that, $P^{3}=P$. Then the eigenvalues of $P$ ܲ are $1, 1, −1$ $1, 0.5 + ݆j0.866, 0.5 − ݆j0.866$ $1,−0.5 + ݆j0.866, −0.5 − ݆j0.866$ $0, 1, −1$

A $3 \times 3$ matrix $P$ is such that, $P^{3}=P$. Then the eigenvalues of $P$ ܲ are$1, 1, −1$$1, 0.5 + ݆j0.866, 0.5 − ݆j0.866$ $1,−0.5 + ݆j0.866, −0.5 − ݆...

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50

GATE Electrical 2016 Set 2 | Question: 6
Consider the function $f(z)=z+z^{*}$ where $z$ is a complex variable and $z^{*}$ denotes its complex conjugate. Which one of the following is TRUE? $f(z)$ is both continuous and analytic $f(z)$ is continuous but not analytic $f(z)$ is not continuous but is analytic $f(z)$ is neither continuous nor analytic

Consider the function $f(z)=z+z^{*}$ where $z$ is a complex variable and $z^{*}$ denotes its complex conjugate. Which one of the following is TRUE?$f(z)$ is both continuo...

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51

GATE Electrical 2016 Set 2 | Question: 5
Suppose the maximum frequency in a band-limited signal $x(t)$ is $5 kHz$. Then, the maximum frequency in $x(t)\cos(2000\pi t)$, in $kHz$, is ________.

Suppose the maximum frequency in a band-limited signal $x(t)$ is $5 kHz$. Then, the maximum frequency in $x(t)\cos(2000\pi t)$, in $kHz$, is ________.

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52

GATE Electrical 2016 Set 2 | Question: 4
Consider a causal $LTI$ system characterized by differential equation $\frac{dy(t)}{dt}+\frac{1}{6}y(t)=3x(t)$ The response of the system to the input $x(t)=3e^{-\frac{t}{3}}u(t)$, where $u(t)$ denotes the unit step function, is $9e^{-\frac{t}{3}}u(t)$ ... $54e^{-\frac{t}{6}}u(t)-54e^{-\frac{t}{3}}u(t)$

Consider a causal $LTI$ system characterized by differential equation $\frac{dy(t)}{dt}+\frac{1}{6}y(t)=3x(t)$ The response of the system to the input $x(t)=3e^{-\frac{t}...

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53

GATE Electrical 2016 Set 2 | Question: 1
The output expression for the Karnaugh map shown below is $A+\bar{B}$ $A+\bar{C}$ $\bar{A}+\bar{C}$ $\bar{A}+C$

The output expression for the Karnaugh map shown below is$A+\bar{B}$$A+\bar{C}$$\bar{A}+\bar{C}$$\bar{A}+C$

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54

GATE Electrical 2016 Set 2 | Question: 3
The following figure shows the connection of an ideal transformer with primary to secondary turns ratio of $1:100$. The applied primary voltage is $100 V$ (rms), $50 Hz, AC$. The rms value of the current $I$, in ampere, is _________.

The following figure shows the connection of an ideal transformer with primary to secondary turns ratio of $1:100$. The applied primary voltage is $100 V$ (rms), $50 Hz, ...

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55

GATE Electrical 2016 Set 2 | Question: 2
The circuit shown below is an example of a Low pass filter. Band pass filter. High pass filter. Notch filter.

The circuit shown below is an example of aLow pass filter.Band pass filter.High pass filter.Notch filter.

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56

GATE Electrical 2016 Set 2 | GA Question: 10
The numeral in the units position of $211^{870}+146^{127} \times 3^{424}$ is _____.

The numeral in the units position of $211^{870}+146^{127} \times 3^{424}$ is _____.

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57

GATE Electrical 2016 Set 2 | GA Question: 8
Sourya committee had proposed the establishment of Sourya Institutes of Technology $(SITs)$ in line with Indian Institutes of Technology $(IITs)$ to cater to the technological and industrial needs of a developing country. Which of the following can be logically inferred from the ... (iv) only. (i) and (iv) only. (ii) and (iv) only. (ii) and (iii) only.

Sourya committee had proposed the establishment of Sourya Institutes of Technology $(SITs)$ in line with Indian Institutes of Technology $(IITs)$ to cater to the technolo...

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58

GATE Electrical 2016 Set 2 | GA Question: 6
The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a plant is defined as ratio of actual ... a small plant. The difference between total production of large plants and small plants, in tonnes is ______________.

The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. C...

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59

GATE Electrical 2016 Set 2 | GA Question: 7
A poll of students appearing for masters in engineering indicated that $60$ % of the students believed that mechanical engineering is a profession unsuitable for women. A research study on women with masters or higher degrees ... or higher degrees in mechanical engineering. The number of women pursuing higher degrees in mechanical engineering is small.

A poll of students appearing for masters in engineering indicated that $60$ % of the students believed that mechanical engineering is a profession unsuitable for women. A...

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60

GATE Electrical 2016 Set 2 | GA Question: 9
Shaquille 'O' Neal is a $60\%$ career free throw shooter, meaning that he successfully makes $60$ free throws out of $100$ attempts on average. What is the probability that he will successfully make exactly $6$ free throws in $10$ attempts? $0.2508$ $0.2816$ $0.2934$ $0.6000$

Shaquille 'O' Neal is a $60\%$ career free throw shooter, meaning that he successfully makes $60$ free throws out of $100$ attempts on average. What is the probability th...

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61

GATE Electrical 2016 Set 2 | GA Question: 5
If $|9y−6| =3$, then $y^{2}-4y/3$ is . $0$ $+1/3$ $-1/3$ undefined

If $|9y−6| =3$, then $y^{2}-4y/3$ is .$0$$+1/3$$-1/3$undefined

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62

GATE Electrical 2016 Set 2 | GA Question: 4
$R2D2$ is a robot. $R2D2$ can repair aeroplanes. No other robot can repair aeroplanes. Which of the following can be logically inferred from the above statements? $R2D2$ is a robot which can only repair aeroplanes. $R2D2$ is the only robot which can repair aeroplanes. $R2D2$ is a robot which can repair only aeroplanes. Only $R2D2$ is a robot.

$R2D2$ is a robot. $R2D2$ can repair aeroplanes. No other robot can repair aeroplanes. Which of the following can be logically inferred from the above statements?$R2D2$ i...

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63

GATE Electrical 2016 Set 2 | GA Question: 3
Pick the odd one out in the following: $13, 23, 33, 43, 53$ $23$ $33$ $43$ $53$

Pick the odd one out in the following: $13, 23, 33, 43, 53$ $23$$33$ $43$$53$

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64

GATE Electrical 2016 Set 2 | GA Question: 2
Identify the correct spelling out of the given options: Managable Manageable Mangaeble Managible

Identify the correct spelling out of the given options:ManagableManageableMangaebleManagible

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65

GATE Electrical 2016 Set 2 | GA Question: 1
The chairman requested the aggrieved shareholders to _________________ him. Bare with Bore with Bear with Bare

The chairman requested the aggrieved shareholders to _________________ him.Bare withBore withBear withBare

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