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721

GATE Electrical 2014 Set 3 | Question: 31
A perfectly conducting metal plate is placed in $x-y$ plane in a right handed coordinate system. A charge of $+32\pi \epsilon _0\sqrt{2}$ columbs is placed at coordinate $(0, 0, 2)$. $\epsilon _0$ is the permittivity of free space. Assume $\hat{i}$,$\hat{j}$ ... $2\sqrt{2}\hat{k}$ $-2\hat{k}$ $2\hat{k}$ $-2\sqrt{2}\hat{k}$

A perfectly conducting metal plate is placed in $x-y$ plane in a right handed coordinate system. A charge of $+32\pi \epsilon _0\sqrt{2}$ columbs is placed at coordinate...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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722

GATE Electrical 2014 Set 3 | Question: 14
In a long transmission line with $r$,$l$,$g$ and $c$ are the resistance, inductance, shunt conductance and capacitance per unit length, respectively, the condition for distortionless transmission is $rc=lg$ $r=\sqrt{l/c}$ $rg=lc$ $g=\sqrt{c/l}$

In a long transmission line with $r$,$l$,$g$ and $c$ are the resistance, inductance, shunt conductance and capacitance per unit length, respectively, the condition for di...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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723

GATE Electrical 2015 Set 1 | Question: 25
For the signal-flow graph shown in the figure, which one of the following expressions is equal to the transfer function $\dfrac{Y(s)}{X_{2}(s)}\bigg \vert _{X_{1}(s)=0}$ ? $\dfrac{G_{1}}{1+G_{2}(1+G_{1})} \\$ $\dfrac{G_{2}}{1+G_{1}(1+G_{2})} \\$ $\dfrac{G_{1}}{1+G_{1}G_{2}} \\$ $\dfrac{G_{2}}{1+G_{1}G_{2}}$

For the signal-flow graph shown in the figure, which one of the following expressions is equal to the transfer function $\dfrac{Y(s)}{X_{2}(s)}\bigg \vert _{X_{1}(s)=0}$ ...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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724

GATE Electrical 2014 Set 3 | Question: 34
A sinusoid $x(t)$ of unknown frequency is sampled by an impulse train of period $20$ $ms$. The resulting sample train is next applied to an ideal lowpass filter with a cutoff at $25$ $Hz$. The filter output is seen to be a sinusoid of frequency $20$ $Hz$. This means that $x(t)$ has a frequency of $10$ $Hz$ $60$ $Hz$ $30$ $Hz$ $90$ $Hz$

A sinusoid $x(t)$ of unknown frequency is sampled by an impulse train of period $20$ $ms$. The resulting sample train is next applied to an ideal lowpass filter with a cu...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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725

GATE Electrical 2013 | Question: 44
Thyristor $T$ in the figure below is initially off and is triggered with a single pulse of width $10$ $μs$. It is given that $L=\bigg(\dfrac{100}{\pi }\bigg)\mu H$ and $C=\bigg(\dfrac{100}{\pi }\bigg)\mu F$. Assuming latching and holding currents of the ... zero and the initial charge on $C$ is zero, $T$ conducts of $10\mu s$ $50\mu s$ $100\mu s$ $200\mu s$

Thyristor $T$ in the figure below is initially off and is triggered with a single pulse of width $10$ $μs$. It is given that $L=\bigg(\dfrac{100}{\pi }\bigg)\mu H$ and...

piyag476

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piyag476 asked Feb 11, 2017

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726

GATE Electrical 2014 Set 1 | Question: 4
Let $X(s)=\dfrac{3s+5}{s^2+10s+21}$ be the Laplace Transform of a signal $x(t)$. Then, $x(0^+) $is $0$ $3$ $5$ $21$

Let $X(s)=\dfrac{3s+5}{s^2+10s+21}$ be the Laplace Transform of a signal $x(t)$. Then, $x(0^+) $is$0$$3$$5$$21$

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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727

GATE Electrical 2013 | Question: 53
In the following network, the voltage magnitudes at all buses are equal to $1 p.u.$, the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal to $j1$ $\Omega.$ If the base impedance and the line- ... , then the real power in $MW$ delivered by the generator connected at the slack bus is $-10$ $0$ $10$ $20$

In the following network, the voltage magnitudes at all buses are equal to $1 p.u.$, the voltage phase angles are very small, and the line resistances are negligible. All...

piyag476

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piyag476 asked Feb 11, 2017

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728

GATE Electrical 2014 Set 3 | Question: 41
For a $400$ $km$ long transmission line, the series impedance is ($0.0$ + $j0.5$) $Ω/km$ and the shunt admittance is ($0.0$ + $j5.0$) $μmho$/$km$. The magnitude of the series impedance (in $\Omega$) of the equivalent $\pi$ circuit of the transmission line is ________.

For a $400$ $km$ long transmission line, the series impedance is ($0.0$ + $j0.5$) $Ω/km$ and the shunt admittance is ($0.0$ + $j5.0$) $μmho$/$km$. The magnitude of the ...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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729

GATE Electrical 2014 Set 2 | Question: 27
Let $X$ be a random variable with probability density function $f(x)=\begin{cases} 0.2,& \text{for } \mid x \mid \leq 1\\ 0.1,& \text{for }1< \mid x \mid \leq 4\\ 0 & \text{otherwise } \end{cases} \\$ The probability $P(0.5 < X < 5)$ is ______.

Let $X$ be a random variable with probability density function$f(x)=\begin{cases} 0.2,& \text{for } \mid x \mid \leq 1\\ 0.1,& \text{for }1< \mid x \mid \leq 4\\ 0 & \tex...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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730

GATE Electrical 2015 Set 1 | Question: 53
The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at $(2 − j3)$. List all the poles and zeroes. Poles at $(2 \pm j3)$, no zeroes. Poles at $(\pm 2 − j3)$, one zero at origin. Poles at $(2 − j3)$, $(−2 + j3)$, zeroes at $(−2 − j3)$, $(2 + j3)$. Poles at $(2 \pm j3)$, zeroes at $(−2 \pm j3)$.

The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at $(2 − j3)$. List all the poles and zeroes.Poles at $...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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731

GATE Electrical 2014 Set 1 | Question: 20
In an oscilloscope screen, linear sweep is applied at the vertical axis horizontal axis origin both horizontal and vertical axis

In an oscilloscope screen, linear sweep is applied at thevertical axishorizontal axisoriginboth horizontal and vertical axis

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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732

GATE Electrical 2015 Set 1 | Question: 50
A $200/400$ V, $50$ Hz, two-winding transformer is rated at $20$ kVA. Its windings are connected as an auto-transformer of rating $200/600$ V. A resistive load of $12 \Omega$ is connected to the high voltage ($600$ V) side of the auto-transformer. The value of equivalent load resistance (in Ohm) as seen from low voltage side is _________.

A $200/400$ V, $50$ Hz, two-winding transformer is rated at $20$ kVA. Its windings are connected as an auto-transformer of rating $200/600$ V. A resistive load of $12 \Om...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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733

GATE Electrical 2015 Set 1 | Question: 9
A moving average function is given by $y(t) = \dfrac{1}{T} \displaystyle \int_{t-T}^{t} u(\tau ) d \tau$. If the input $u$ is a sinusoidal signal of frequency $\dfrac{1}{2T}Hz$ then in steady state, the output $y$ will lag $u$ (in degree) by __________ .

A moving average function is given by $y(t) = \dfrac{1}{T} \displaystyle \int_{t-T}^{t} u(\tau ) d \tau$. If the input $u$ is a sinusoidal signal of frequency $\dfrac{1}{...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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734

GATE Electrical 2015 Set 2 | Question: 45
A symmetrical square wave of $50\%$ duty cycle has amplitude of $\pm15$ V and time period of $0.4\pi$ ms. This square wave is applied across a series $RLC$ circuit with $R = 5 \Omega$, $L = 10$ mH, and $C = 4 \mu F$. The amplitude of the $5000$ rad/s component of the capacitor voltage (in Volt) is ______.

A symmetrical square wave of $50\%$ duty cycle has amplitude of $\pm15$ V and time period of $0.4\pi$ ms. This square wave is applied across a series $RLC$ circuit with $...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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735

GATE Electrical 2015 Set 1 | Question: 49
A DC motor has the following specifications: $10$ hp, $37.5$ A, $230$ V; flux/pole $= 0.01$ Wb, number of poles $= 4$, number of conductors $= 666$, number of parallel paths $= 2$. Armature resistance$ = 0.267 \Omega$. The ... The motor operates from a $230$ V DC supply. If the motor runs at $1000$ rpm, the output torque produced (in Nm) is ________.

A DC motor has the following specifications: $10$ hp, $37.5$ A, $230$ V; flux/pole $= 0.01$ Wb, number of poles $= 4$, number of conductors $= 666$, number of parallel pa...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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736

GATE Electrical 2014 Set 2 | Question: 4
All the values of the multi-valued complex function $1^i$,where $i=\sqrt{-1}$ are purely imaginary. real and non-negative on the unit circle. equal in real and imaginary parts.

All the values of the multi-valued complex function $1^i$,where $i=\sqrt{-1}$ arepurely imaginary.real and non-negativeon the unit circle.equal in real and imaginary part...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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737

GATE Electrical 2015 Set 1 | Question: 36
A parallel plate capacitor is partially filled with glass of dielectric constant $4.0$ as shown below. The dielectric strengths of air and glass are $30$ kV/cm and $300$ kV/cm, respectively. The maximum voltage (in kilovolts), which can be applied across the capacitor without any breakdown, is ______.

A parallel plate capacitor is partially filled with glass of dielectric constant $4.0$ as shown below. The dielectric strengths of air and glass are $30$ kV/cm and $300$ ...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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738

GATE Electrical 2015 Set 1 | Question: 4
Consider a function $\overrightarrow{f}=\dfrac{1}{r^{2}} \hat{r}$ where $r$ is the distance from the origin and $\hat{r}$ is the unit vector in the radial direction. The divergence of this function over a sphere of radius $R$, which includes the origin, is $0$ $2 \pi$ $4 \pi$ $R \pi$

Consider a function $\overrightarrow{f}=\dfrac{1}{r^{2}} \hat{r}$ where $r$ is the distance from the origin and $\hat{r}$ is the unit vector in the radial direction. The ...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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739

GATE Electrical 2014 Set 3 | Question: 29
The Norton’s equivalent source in amperes as seen into the terminals $X$ and $Y$ is _______.

The Norton’s equivalent source in amperes as seen into the terminals $X$ and $Y$ is _______.

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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740

GATE Electrical 2014 Set 2 | Question: 18
The state transition matrix for the system $\begin{bmatrix} \dot{x_1}\\ \dot{x_2} \end{bmatrix}=\begin{bmatrix} 1 & 0\\ 1 & 1 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{bmatrix}+\begin{bmatrix} 1\\ 1 \end{bmatrix}u$ ... $\begin{bmatrix} e^t &te^t \\ 0&e^t \end{bmatrix}$

The state transition matrix for the system$\begin{bmatrix} \dot{x_1}\\ \dot{x_2} \end{bmatrix}=\begin{bmatrix} 1 & 0\\ 1 & 1 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{b...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017