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GATE Electrical 2017 Set 2 | Question: 13
A three-phase voltage source inverter with ideal devices operating in $180^{\circ}$ conduction mode is feeding a balanced star-connected resistive load. The $DC$ voltage input is $V_{dc}$. The peak of the fundamental component of the phase voltage is $\frac{V_{dc}}{\pi} \\$ $\frac{2V_{dc}}{\pi} \\$ $\frac{3V_{dc}}{\pi} \\$ $\frac{4V_{dc}}{\pi} $

A three-phase voltage source inverter with ideal devices operating in $180^{\circ}$ conduction mode is feeding a balanced star-connected resistive load. The $DC$ voltage ...

Arjun

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462

GATE Electrical 2017 Set 1 | Question: 21
A $10$-bus power system consists of four generator buses indexed as $G1, G2, G3, G4$ and six load buses indexed as $L1, L2, L3, L4, L5, L6$. The generator-bus $G1$ is considered as slack bus, and the load buses ... limit. The number of non-linear equations required for solving the load flow problem using Newton - Raphson method in polar form is ___________.

A $10$-bus power system consists of four generator buses indexed as $G1, G2, G3, G4$ and six load buses indexed as $L1, L2, L3, L4, L5, L6$. The generator-bus $G1$ is con...

Arjun

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463

GATE Electrical 2017 Set 1 | Question: 38
The input voltage $V_{DC}$ of the buck-boost converter shown below varies from $32$V to $72$V. Assume that all components are ideal, inductor current is continuous, and output voltage is ripple free. The range of duty ratio $D$ of the converter for which the magnitude of the ... $0 \leq D \leq 1$ $\frac{1}{3}\leq D \leq \frac{2}{3}$

The input voltage $V_{DC}$ of the buck-boost converter shown below varies from $32$V to $72$V. Assume that all components are ideal, inductor current is continuous, and o...

Arjun

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464

GATE Electrical 2017 Set 1 | Question: 10
A $3$-bus power system is shown in the figure below, where the diagonal elements of $Y$-bus matrix are: $Y_{11}= -j12$ pu, $Y_{22}= -j15$ pu, $\text{and}$ $Y_{33} = -j7$ pu. The per unit values of the line reactances $p, q$ and $r$ shown in the figure are $p= -0.2, q= -0.1, r= -0.5$ $p= 0.2, q= 0.1, r= 0.5$ $p= -5, q= -10, r= -2$ $p= 5, q= 10, r= 2$

A $3$-bus power system is shown in the figure below, where the diagonal elements of $Y$-bus matrix are: $Y_{11}= -j12$ pu, $Y_{22}= -j15$ pu, $\text{and}$ $Y_{33} = -j7$ ...

Arjun

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465

GATE Electrical 2017 Set 1 | Question: 7
Consider the system with following input-output relation $y[n]=(1+(-1)^{n}x[n]$ where, $x[n]$ is the input and $y[n]$ is the output. The system is Invertible and time invariant Invertible and time varying Non-invertible and time invariant Non-invertible and time varying

Consider the system with following input-output relation$y[n]=(1+(-1)^{n}x[n]$where, $x[n]$ is the input and $y[n]$ is the output. The system isInvertible and time invari...

Arjun

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466

GATE Electrical 2017 Set 1 | Question: 16
Consider $g(t)= \begin{cases} t-\lfloor t \rfloor, & t \geq 0 \\ t-\lceil t \rceil, & \text{otherwise } \end{cases}$, where $t \in \mathbb{R}$. Here, $\lfloor t \rfloor$ represents the largest integer ... integer greater than or equal to $t$. The coefficient of the second harmonic component of the Fourier series representing $g(t)$ is __________.

Consider $g(t)= \begin{cases} t-\lfloor t \rfloor, & t \geq 0 \\ t-\lceil t \rceil, & \text{otherwise }\end{cases}$, where $t \in \mathbb{R}$.Here, $\lfloor t \rfloor$ r...

Arjun

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467

GATE Electrical 2017 Set 1 | Question: 23
The following measurements are obtained on a single phase load $V=220 V \pm 1$%, $I=5.0 A \pm 1$% and $W=555 W \pm 2$%. If the power factor is calculated using these measurements, the worst case error in the calculated power factor in percent is _______. (Give answer up to one decimal place.)

The following measurements are obtained on a single phase load $V=220 V \pm 1$%, $I=5.0 A \pm 1$% and $W=555 W \pm 2$%. If the power factor is calculated using these meas...

Arjun

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468

GATE Electrical 2017 Set 1 | Question: 14
For the circuit shown in the figure below, assume that diodes $D_{1}, D_{2}$ and $D_{3}$ are ideal. The $DC$ components of voltages $v_{1}$ and $v_{2}$, respectively are $0$V and $1$V $-0.5$V and $0.5$V $1$V and $0.5$V $1$V and $1$V

For the circuit shown in the figure below, assume that diodes $D_{1}, D_{2}$ and $D_{3}$ are ideal. The $DC$ components of voltages $v_{1}$ and $v_{2}$, respectively are$...

Arjun

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469

GATE Electrical 2017 Set 1 | Question: 15
For the power semiconductor devices $IGBT, MOSFET$, Diode and Thyristor, which one of the following statements is TRUE? All the four are majority carrier devices. All the four are minority carrier devices. $IGBT$ and $MOSFET$ ... minority carrier devices. $MOSFET$ is majority carrier device, whereas $IGBT$, Diode, Thyristor are minority carrier devices.

For the power semiconductor devices $IGBT, MOSFET$, Diode and Thyristor, which one of the following statements is TRUE?All the four are majority carrier devices.All the f...

Arjun

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470

GATE Electrical 2017 Set 1 | Question: 40
The bus admittance matrix for a power system network is $\begin{bmatrix} -j39.9 & j20 & j20\\ j20 & -j39.9 & j20 \\ j20 & j20 & -j39.9 \end{bmatrix} pu.$ There is a transmission line, connected between buses $1$ and $3$, ...

The bus admittance matrix for a power system network is$\begin{bmatrix}-j39.9 & j20 & j20\\ j20 & -j39.9 & j20 \\ j20 & j20 & -j39.9\end{bmatrix} pu.$There is a transmi...

Arjun

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471

GATE Electrical 2017 Set 1 | Question: 8
A $4$ pole induction machine is working as an induction generator. The generator supply frequency is $60$Hz. The rotor current frequency is $5$Hz. The mechanical speed of the rotor in $RPM$ is $1350$ $1650$ $1950$ $2250$

A $4$ pole induction machine is working as an induction generator. The generator supply frequency is $60$Hz. The rotor current frequency is $5$Hz. The mechanical speed of...

Arjun

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Arjun asked Feb 26, 2017

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472

GATE Electrical 2017 Set 1 | Question: 9
A source is supplying a load through a $2$-phase, $3$-wire transmission system as shown in figure below. The instantaneous voltage and current in phase-a are $v_{an}=220 \sin (100 \pi t) V$ and $i_{a}=10 \sin (100 \pi t) A$, respectively. Similarly for phase-b, the ... $2200$W $2200 \sin^{2} (100 \pi t) W$ $4400$W $2200 \sin (100 \pi t) \cos (100 \pi t) W$

A source is supplying a load through a $2$-phase, $3$-wire transmission system as shown in figure below. The instantaneous voltage and current in phase-a are $v_{an}=220 ...

Arjun

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473

GATE Electrical 2015 Set 2 | Question: 52
The following discrete-time equations result from the numerical integration of the differential equations of an un-damped simple harmonic oscillator with state variables $x$ and $y$. The integration time step is $h$. $\dfrac{x_{k+1}-x_{k}}{h}=y_{k}$ ... $\dfrac{1}{2\pi}<h<\dfrac{1}{\pi}$

The following discrete-time equations result from the numerical integration of the differential equations of an un-damped simple harmonic oscillator with state variables ...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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474

GATE Electrical 2015 Set 2 | Question: 41
A composite conductor consists of three conductors of radius $R$ each. The conductors are arranged as shown below. The geometric mean radius $(GMR)$ (in cm) of the composite conductor is $kR$. The value of $k$ is __________.

A composite conductor consists of three conductors of radius $R$ each. The conductors are arranged as shown below. The geometric mean radius $(GMR)$ (in cm) of the compos...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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475

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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476

GATE Electrical 2015 Set 2 | Question: 53
The unit step response of a system with the transfer function $G(s)=\dfrac{1-2s}{1+s}$ is given by which one of the following waveforms?

The unit step response of a system with the transfer function $G(s)=\dfrac{1-2s}{1+s}$ is given by which one of the following waveforms?

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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477

GATE Electrical 2015 Set 2 | Question: 36
Two semi-infinite conducting sheets are placed at right angles to each other as shown in the figure. A point charge of $+Q$ is placed at a distance of $d$ from both sheets. The net force on the charge is $\dfrac{Q^{2}}{4\pi \in_{0}} \frac{Q}{d^{2}}$, where $K$ is ... $\dfrac{1-2\sqrt{2}}{8\sqrt{2}} \hat{t}+\dfrac{1-2\sqrt{2}}{8\sqrt{2}} \hat{j}$

Two semi-infinite conducting sheets are placed at right angles to each other as shown in the figure. A point charge of $+Q$ is placed at a distance of $d$ from both sheet...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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478

GATE Electrical 2015 Set 2 | Question: 9
Two semi-infinite dielectric regions are separated by a plane boundary at $y = 0$. The dielectric constants of region $1 (y < 0)$ and region $2 (y > 0)$ are $2$ and $5$, respectively. Region $1$ ... $3\hat{a}_{x}+10\hat{a}_{y}+0.8\hat{a}_{z}$

Two semi-infinite dielectric regions are separated by a plane boundary at $y = 0$. The dielectric constants of region $1 (y < 0)$ and region $2 (y 0)$ are $2$ and $5$, r...

makhdoom ghaya

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479

GATE Electrical 2015 Set 2 | Question: 46
Two identical coils each having inductance $L$ are placed together on the same core. If an overall inductance of $\alpha L$ is obtained by interconnecting these two coils, the minimum value of $\alpha$ is ________.

Two identical coils each having inductance $L$ are placed together on the same core. If an overall inductance of $\alpha L$ is obtained by interconnecting these two coils...

makhdoom ghaya

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480

GATE Electrical 2015 Set 2 | Question: 44
In the given network $V_{1}=100\angle 0^{\circ}V, V_{2}=100\angle -120^{\circ}V, V_{3}=100\angle +120^{\circ}V$. The phasor current $i$ (in Ampere) is $173.2\angle -60^{\circ}$ $173.2\angle 120^{\circ}$ $100.0\angle -60^{\circ}$ $100.0\angle 120^{\circ}$

In the given network $V_{1}=100\angle 0^{\circ}V, V_{2}=100\angle -120^{\circ}V, V_{3}=100\angle +120^{\circ}V$. The phasor current $i$ (in Ampere) is$173.2\angle -60^{\c...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017