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661
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...
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662
GATE Electrical 2017 Set 2 | Question: 33
A $220$ V, $10$ kW, $900$ rpm separately excited $DC$ motor has an armature resistance $R_{a}=0.02 \Omega$. When the motor operates at rated speed and with rated terminal voltage, the electromagnetic torque developed by the motor is $70$Nm. Neglecting the ... the current drawn by the motor from the $220$V supply is $34.2$ A $30$ A $22$ A $4.84$ A
A $220$ V, $10$ kW, $900$ rpm separately excited $DC$ motor has an armature resistance $R_{a}=0.02 \Omega$. When the motor operates at rated speed and with rated terminal...
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663
GATE Electrical 2017 Set 2 | Question: 7
The transfer function $C(s)$ of a compensator is given below. $C(s)=\frac{(1+\frac{s}{0.1})(1+\frac{s}{100})}{(1+s)(1+\frac{s}{10})}$ The frequency range in which the phase (lead) introduced by the compensator reaches the maximum is $0.1 < \omega < 1$ $1 < \omega < 10$ $10 < \omega < 100$ $ \omega > 100$
The transfer function $C(s)$ of a compensator is given below.$C(s)=\frac{(1+\frac{s}{0.1})(1+\frac{s}{100})}{(1+s)(1+\frac{s}{10})}$The frequency range in which the phase...
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664
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...
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665
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)$$x (ct) ...
Arjun
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666
GATE Electrical 2017 Set 2 | Question: 17
Assume that in traffic junction, the cycle of the traffic signal lights is $2$ minutes of green (Vehicle does not stop) and $3$ minutes of red (Vehicle stops). Consider that the arrival time of vehicles at the junction is uniformly distributed over $5$ minute cycle. The expected waiting time (in minutes) for the vehicle at the junction is ________.
Assume that in traffic junction, the cycle of the traffic signal lights is $2$ minutes of green (Vehicle does not stop) and $3$ minutes of red (Vehicle stops). Consider t...
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667
GATE Electrical 2017 Set 1 | Question: 25
A $3$-phase voltage source inverter is supplied from a $600V$ DC source as shown in the figure below. For a star connected resistive load of $20\Omega$ per phase, the load power for $120^{\circ}$ device conduction, in kW, is ________.
A $3$-phase voltage source inverter is supplied from a $600V$ DC source as shown in the figure below. For a star connected resistive load of $20\Omega$ per phase, the loa...
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668
GATE Electrical 2017 Set 1 | Question: 29
The passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port $1$. Given $V_{1}=A_{1}V_{2}+B_{1}I_{2}$ $I_{1}=C_{1}V_{2}+D_{1}I_{2}$ $V_{2}=A_{2}V_{3}+B_{2}I_{3}$ $I_{2}=C_{2}V_{3}+D_{2}I_{3}$ ...
The passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port $1$.Given$V_{1}=A_{1}V_{2}+B_{1}I_{2}$$I_{1}=C_{1}V_{2}+D...
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669
GATE Electrical 2017 Set 1 | Question: 39
A load is supplied by a $230$ V, $50$ Hz source. The active power $P$ and the reactive power $Q$ consumed by the load are such that $1kW \leq P \leq 2kW$ and $1kVAR \leq Q \leq 2kVAR$. A capacitor connected across the load for power factor ... power factor after power factor correction is $0.447 \text{ lag}$ $0.707 \text{ lag}$ $0.894 \text{ lag}$ $1$
A load is supplied by a $230$ V, $50$ Hz source. The active power $P$ and the reactive power $Q$ consumed by the load are such that $1kW \leq P \leq 2kW$ and $1kVAR \leq ...
Arjun
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670
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 ...
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671
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...
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672
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...
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673
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, $\text{and}$ $Y_{33} = -j7$ ...
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674
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...
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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...
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676
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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677
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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678
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...
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679
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...
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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 ...
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