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Recent questions tagged gate2017-ee-1
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41
GATE Electrical 2017 Set 1 | Question: 24
In the converter circuit shown below, the switches are controlled such that the load voltage $v_{0}(t)$ is a $400$ Hz square wave. The RMS value of the fundamental component of $v_{0}(t)$ in volts is ________.
In the converter circuit shown below, the switches are controlled such that the load voltage $v_{0}(t)$ is a $400$ Hz square wave.The RMS value of the fundamental compone...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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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
15.9k
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Arjun
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Feb 26, 2017
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gate2017-ee-1
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GATE Electrical 2017 Set 1 | Question: 22
Consider the unity feedback control system shown. The value of $K$ that results in a phase margin of the system to be $30^{\circ}$ is _________. (Give the answer up to two decimal places.)
Consider the unity feedback control system shown. The value of $K$ that results in a phase margin of the system to be $30^{\circ}$ is _________. (Give the answer up to tw...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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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
15.9k
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Arjun
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Feb 26, 2017
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GATE Electrical 2017 Set 1 | Question: 20
A three-phase, $50$Hz, star-connected cylindrical rotor synchronous machine is running as a motor. The machine is operated from a $6.6$ kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is $30 \Omega$ ... $30^{\circ}$. The power delivered to the motor in kW is __________. (Give the answer up to one decimal place).
A three-phase, $50$Hz, star-connected cylindrical rotor synchronous machine is running as a motor. The machine is operated from a $6.6$ kV grid and draws current at unity...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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GATE Electrical 2017 Set 1 | Question: 29
The passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port $1$. Given $V_{1}=A_{1}V_{2}+B_{1}I_{2}$ $I_{1}=C_{1}V_{2}+D_{1}I_{2}$ $V_{2}=A_{2}V_{3}+B_{2}I_{3}$ $I_{2}=C_{2}V_{3}+D_{2}I_{3}$ ...
The passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port $1$.Given$V_{1}=A_{1}V_{2}+B_{1}I_{2}$$I_{1}=C_{1}V_{2}+D...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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GATE Electrical 2017 Set 1 | Question: 13
The Boolean expression $AB+A\bar{C}+BC$ simplifies to $BC + A\bar{C}$ $AB + A\bar{C} + B$ $AB + A\bar{C}$ $AB + BC$
The Boolean expression $AB+A\bar{C}+BC$ simplifies to$BC + A\bar{C}$$AB + A\bar{C} + B$$AB + A\bar{C}$$AB + BC$
Arjun
15.9k
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Arjun
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Feb 26, 2017
Analog and Digital Electronics
gate2017-ee-1
analog-and-digital-electronics
boolean-algebra
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48
GATE Electrical 2017 Set 1 | Question: 17
Let $I= c\int \int _{R} xy^{2} dxdy$, where $R$ is the region shown in the figure and $c= 6 \times 10^{-4}$. The value of $I$ equals _________. (Give the answer up to two decimal places.)
Let $I= c\int \int _{R} xy^{2} dxdy$, where $R$ is the region shown in the figure and $c= 6 \times 10^{-4}$. The value of $I$ equals _________. (Give the answer up to two...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
Calculus
gate2017-ee-1
numerical-answers
calculus
double-integral
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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
15.9k
points
Arjun
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Feb 26, 2017
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numerical-answers
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GATE Electrical 2017 Set 1 | Question: 19
The equivalent resistance between the terminals $A$ and $B$ is __________ $\Omega$.
The equivalent resistance between the terminals $A$ and $B$ is __________ $\Omega$.
Arjun
15.9k
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Arjun
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Feb 26, 2017
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gate2017-ee-1
numerical-answers
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GATE Electrical 2017 Set 1 | Question: 18
The power supplied by the $25$V source in the figure shown below is __________ $W$.
The power supplied by the $25$V source in the figure shown below is __________ $W$.
Arjun
15.9k
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Arjun
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Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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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
15.9k
points
Arjun
asked
Feb 26, 2017
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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
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
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GATE Electrical 2017 Set 1 | Question: 12
The slope and level detector circuit in a $CRO$ has a delay of $100$ns. The start - stop sweep generator has a response time of $50$ns. In order to display correctly, a delay line of $150$ns has to be inserted into the $y$-channel $150$ns has ... $x$ and $y$-channels $100$ns has to be inserted into both $x$ and $y$-channels
The slope and level detector circuit in a $CRO$ has a delay of $100$ns. The start - stop sweep generator has a response time of $50$ns. In order to display correctly, a d...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
Others
gate2017-ee-1
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GATE Electrical 2017 Set 1 | Question: 11
A closed loop system has the characteristic equation given by $s^{3}+Ks^{2}+(K+2)s+3=0$. For this system to be stable, which one of the following conditions should be satisfied? $0 < K < 0.5$ $0.5 < K < 1$ $0 < K < 1$ $K > 1$
A closed loop system has the characteristic equation given by $s^{3}+Ks^{2}+(K+2)s+3=0$. For this system to be stable, which one of the following conditions should be sat...
Arjun
15.9k
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Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
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GATE Electrical 2017 Set 1 | Question: 2
For a complex number $z,\displaystyle{} \lim_{z \rightarrow i} \frac{z^{2}+1}{z^{3}+2z-i (z^{2}+2)}$ is $-2i$ $-i$ $i$ $2i$
For a complex number $z,\displaystyle{} \lim_{z \rightarrow i} \frac{z^{2}+1}{z^{3}+2z-i (z^{2}+2)}$ is$-2i$$-i$$i$$2i$
Arjun
15.9k
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Arjun
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Feb 26, 2017
Calculus
gate2017-ee-1
calculus
limits
complex-number
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GATE Electrical 2017 Set 1 | Question: 1
The matrix $A=\begin{bmatrix} \frac{3}{2} &0 & \frac{1}{2}\\ 0& -1 &0 \\ \frac{1}{2} & 0 & \frac{3}{2} \end{bmatrix}$ has three distinct eigenvalues and one of its eigenvectors is $\begin{bmatrix} 1\\ 0\\ 1 \end{bmatrix}$. ... $\begin{bmatrix} 1\\ 0\\ -1 \end{bmatrix}$ $\begin{bmatrix} 1\\ -1\\ 1 \end{bmatrix}$
The matrix $A=\begin{bmatrix}\frac{3}{2} &0 & \frac{1}{2}\\ 0& -1 &0 \\ \frac{1}{2} & 0 & \frac{3}{2}\end{bmatrix}$ has three distinct eigenvalues and one of its eigenv...
Arjun
15.9k
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Arjun
asked
Feb 26, 2017
Linear Algebra
gate2017-ee-1
linear-algebra
matrices
eigen-values
eigen-vectors
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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
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
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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
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
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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
15.9k
points
Arjun
asked
Feb 26, 2017
new
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GATE Electrical 2017 Set 1 | Question: 6
The transfer function of a system is given by, $\frac{V_{0}(s)}{V_{i}(s)}=\frac{1-s}{1+s}$ Let the output of the system be $v_{0}(t)=V_{m} \sin (\omega t + \varphi )$ for the input, $v_{i}(t)=V_{m} \sin (\omega t )$. Then the minimum and maximum values of ... $\frac{\pi}{2}$ $\frac{-\pi}{2}$ and $0$ $0$ and $\frac{\pi}{2}$ $-\pi$ and $0$
The transfer function of a system is given by,$\frac{V_{0}(s)}{V_{i}(s)}=\frac{1-s}{1+s}$Let the output of the system be $v_{0}(t)=V_{m} \sin (\omega t + \varphi )$ for t...
Arjun
15.9k
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Arjun
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Feb 26, 2017
new
gate2017-ee-1
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62
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
15.9k
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Arjun
asked
Feb 26, 2017
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gate2017-ee-1
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GATE Electrical 2017 Set 1 | Question: 5
Consider an electron, a neutron and a proton initially at rest and placed along a straight line such that the neutron is exactly at the center of the line joining the electron and proton. At $t=0$, the particles are released ... these will collide first? The particles will never collide. All will collide together. Proton and neutron. Electron and neutron.
Consider an electron, a neutron and a proton initially at rest and placed along a straight line such that the neutron is exactly at the center of the line joining the ele...
Arjun
15.9k
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Arjun
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GATE Electrical 2017 Set 1 | Question: 4
A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lines inside the cylinder will Bend closer to the cylinder axis Bend farther away from the axis Remain uniform as before Cease to exist inside the cylinder
A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic fiel...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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GATE Electrical 2017 Set 1 | Question: 3
Let $z(t) = x(t) *y(t)$, where "*" denotes convolution. Let $c$ be a positive real-valued constant. Choose the correct expression for $z(ct)$. $c . x(ct) * y (ct)$ $x (ct) * y (ct)$ $c . x (t) * y(ct)$ $c . x (ct) * y(t)$
Let $z(t) = x(t) *y(t)$, where "*" denotes convolution. Let $c$ be a positive real-valued constant. Choose the correct expression for $z(ct)$.$c . x(ct) * y (ct)$$x (ct) ...
Arjun
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Arjun
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