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Hot questions in Network Solution Methods
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41
GATE ECE 2016 Set 3 | Question: 48
The forward-path transfer function and the feedback-path transfer function of a single loop negative feedback control system are given as $G(s)=\frac{K(s+2)}{s^2+2s+2}\;\text{and}\hspace{0.3cm}H(s)=1,$ respectively. If the variable parameter $K$ is real positive, then the location of the breakaway point on the root locus diagram of the system is _________
The forward-path transfer function and the feedback-path transfer function of a single loop negative feedback control system are given as$$G(s)=\frac{K(s+2)}{s^2+2s+2}\;\...
Milicevic3306
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Milicevic3306
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Network Solution Methods
gate2016-ec-3
numerical-answers
network-solution-methods
transfer-function
bode-and-root-locus-plots
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0
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0
answers
42
GATE ECE 2016 Set 3 | Question: 34
The $z$-parameter matrix $\begin{bmatrix} z_{11} &z_{12}\\ z_{21} &z_{22} \end{bmatrix}$ for the two-port network shown is $\begin{bmatrix} 2 &-2\\-2 &2 \end{bmatrix} \\$ $\begin{bmatrix} 2 &2\\2 &2 \end{bmatrix} \\$ $\begin{bmatrix} 9 &-3\\6 &9 \end{bmatrix} \\$ $\begin{bmatrix} 9 &3\\6 &9 \end{bmatrix}$
The $z$-parameter matrix $\begin{bmatrix} z_{11} &z_{12}\\ z_{21} &z_{22} \end{bmatrix}$ for the two-port network shown is $\begin{bmatrix} 2 &-2\\-2 &2 \end{bmatrix} \\$...
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Network Solution Methods
gate2016-ec-3
network-solution-methods
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0
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0
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43
GATE ECE 2016 Set 2 | Question: 32
A continuous-time filter with transfer function $H\left ( s \right )= \frac{2s+6}{s^{2}+6s+8}$ ... sampled at $2$ $Hz$, is identical at the sampling instants to the impulse response of the discrete time-filter. The value of $k$ is _________
A continuous-time filter with transfer function $H\left ( s \right )= \frac{2s+6}{s^{2}+6s+8}$ is converted to a discrete-time filter with transfer function $G\left ( z\r...
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Mar 27, 2018
Network Solution Methods
gate2016-ec-2
numerical-answers
network-solution-methods
transfer-function
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0
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0
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44
GATE ECE 2015 Set 2 | Question: 32
In the circuit shown, the initial voltages across the capacitors $C_{1}$ and $C_{2}$ are $1\: V$ and $3\: V,$ respectively. The switch is closed at time $t = 0$. The total energy dissipated (in Joules) in the resistor $R$ until steady state is reached, is __________.
In the circuit shown, the initial voltages across the capacitors $C_{1}$ and $C_{2}$ are $1\: V$ and $3\: V,$ respectively. The switch is closed at time $t = 0$. The tota...
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Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
steady-state
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0
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0
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45
GATE ECE 2016 Set 1 | Question: 4
Which one of the following is a property of the solutions to the Laplace equation: $\nabla^2f = 0$? The solutions have neither maxima nor minima anywhere except at the boundaries. The solutions are not separable in the coordinates. The solutions are not continuous. The solutions are not dependent on the boundary conditions.
Which one of the following is a property of the solutions to the Laplace equation: $\nabla^2f = 0$?The solutions have neither maxima nor minima anywhere except at the bo...
Milicevic3306
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133
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Mar 27, 2018
Network Solution Methods
gate2016-ec-1
network-solution-methods
laplace-transform
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0
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0
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46
GATE ECE 2015 Set 2 | Question: 17
Let the signal ݂$f(t) = 0$ outside the interval $[T_{1},T_{2}]$, where ܶ$T_{1}$ and ܶ$T_{2}$ are finite. Furthermore, $\mid f(t) \mid < \infty$ ... ݆$j\Omega$ axis a parallel strip not containing the ݆$j\Omega$ axis the entire $s$- plane a half plane containing the ݆$j\Omega$ axis
Let the signal ݂$f(t) = 0$ outside the interval $[T_{1},T_{2}]$, where ܶ$T_{1}$ and ܶ$T_{2}$ are finite. Furthermore, $\mid f(t) \mid < \infty$. The region of converge...
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125
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Network Solution Methods
gate2015-ec-2
network-solution-methods
laplace-transform
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0
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0
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47
GATE ECE 2015 Set 1 | Question: 30
The damping ratio of a series RLC circuit can be expressed as $\frac{R^2C}{2L} \\$ $\frac{2L}{R^2C} \\$ $\frac{R}{2} \sqrt{\frac{C}{L}} \\$ $\frac{2}{R} \sqrt{\frac{L}{C}}$
The damping ratio of a series RLC circuit can be expressed as$\frac{R^2C}{2L} \\$$\frac{2L}{R^2C} \\$$\frac{R}{2} \sqrt{\frac{C}{L}} \\$$\frac{2}{R} \sqrt{\frac{L}{C}}$
Milicevic3306
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125
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Network Solution Methods
gate2015-ec-1
network-solution-methods
rlc-circuits
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0
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0
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48
GATE ECE 2016 Set 1 | Question: 45
The open-loop transfer function of a unity-feedback control system is $G(s)= \frac{K}{s^2+5s+5}$. The value of $K$ at the breakaway point of the feedback contol system’s root-locus plot is _________
The open-loop transfer function of a unity-feedback control system is $$G(s)= \frac{K}{s^2+5s+5}$$. The value of $K$ at the breakaway point of the feedback contol system�...
Milicevic3306
16.0k
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117
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2016-ec-1
numerical-answers
network-solution-methods
transfer-function
bode-and-root-locus-plots
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0
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0
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49
GATE ECE 2016 Set 1 | Question: 47
The transfer function of a linear time invariant system is given by $H(s) = 2s^4 – 5s^3 + 5s -2$. The number of zeroes in the right half of the $s$-plane is _________
The transfer function of a linear time invariant system is given by $H(s) = 2s^4 – 5s^3 + 5s -2$. The number of zeroes in the right half of the $s$-plane is _________
Milicevic3306
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116
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2016-ec-1
numerical-answers
network-solution-methods
transfer-function
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0
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0
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50
GATE ECE 2016 Set 1 | Question: 23
The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal $s(t) = 5 \cos1600 \pi t + 20 \cos 1800 \pi t + 5 \cos 2000 \pi t$. The value of the modulation index is _________
The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal $s(t) = 5 \cos1600 \pi t + 20 \cos 1800 \pi t + 5 \cos 2...
Milicevic3306
16.0k
points
113
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2016-ec-1
numerical-answers
network-solution-methods
sinusoidal-signal
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0
votes
0
answers
51
GATE ECE 2015 Set 1 | Question: 48
A plant transfer function is given as $G(s)= \bigg( K_p+ \frac{K_1}{s} \bigg) \frac{1}{s(s+2)}$. When the plant operates in a unity feedback configuration, the condition for the stability of the closed loop system is $K_p>\frac{K_1}{2}>0 \\$ $2K_1>K_p>0 \\$ $2K_1<K_p \\$ $2K_1>K_p$
A plant transfer function is given as $G(s)= \bigg( K_p+ \frac{K_1}{s} \bigg) \frac{1}{s(s+2)}$. When the plant operates in a unity feedback configuration, the condition ...
Milicevic3306
16.0k
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113
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2015-ec-1
network-solution-methods
transfer-function
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0
votes
0
answers
52
GATE ECE 2015 Set 2 | Question: 7
In the circuit shown, the average value of the voltage $V_{ab}$ (in Volts) in steady state condition is ________.
In the circuit shown, the average value of the voltage $V_{ab}$ (in Volts) in steady state condition is ________.
Milicevic3306
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111
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Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
steady-state
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0
votes
0
answers
53
GATE ECE 2015 Set 2 | Question: 47
The output of a standard second-order system for a unit step input is given as $y(t) = 1-\dfrac{2}{\sqrt{3}}e^{-t}\cos \left(\sqrt{3t}-\dfrac{\pi}{6}\right)$. The transfer function of the system is $\dfrac{2}{(s+2)(s+\sqrt{3})}$ $\dfrac{1}{s^{2}+2s+1}$ $\dfrac{3}{s^{2}+2s+3}$ $\dfrac{3}{s^{2}+2s+4}$
The output of a standard second-order system for a unit step input is given as $y(t) = 1-\dfrac{2}{\sqrt{3}}e^{-t}\cos \left(\sqrt{3t}-\dfrac{\pi}{6}\right)$. The transfe...
Milicevic3306
16.0k
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106
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2015-ec-2
network-solution-methods
transfer-function
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0
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0
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54
GATE ECE 2015 Set 2 | Question: 31
In the circuit shown, the Norton equivalent resistance $(\text{in}\: \Omega)$ across terminals $a-b$ is _______.
In the circuit shown, the Norton equivalent resistance $(\text{in}\: \Omega)$ across terminals $a-b$ is _______.
Milicevic3306
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106
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Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
nortons
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0
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55
GATE ECE 2015 Set 2 | Question: 22
A sinusoidal signal of amplitude $A$ is quantized by a uniform quantizer. Assume that the signal utilizes all the representation levels of the quantizer. If the signal to quantization noise ratio is $31.8\: dB,$ the number of levels in the quantizer is __________.
A sinusoidal signal of amplitude $A$ is quantized by a uniform quantizer. Assume that the signal utilizes all the representation levels of the quantizer. If the signal to...
Milicevic3306
16.0k
points
103
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
sinusoidal
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0
votes
0
answers
56
GATE ECE 2015 Set 1 | Question: 7
In the network shown in the figure, all resistors are identical with $R = 300 \Omega$. The resistance $R_{ab}$ (in $\Omega$) of the network is __________.
In the network shown in the figure, all resistors are identical with $R = 300 \Omega$. The resistance $R_{ab}$ (in $\Omega$) of the network is __________.
Milicevic3306
16.0k
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97
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2015-ec-1
numerical-answers
network-solution-methods
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0
votes
0
answers
57
GATE ECE 2014 Set 3 | Question: 20
Consider the following block diagram in the figure. The transfer function $\frac{C(s)}{R(s)}$ is $\frac{G_{1}G_{2}}{1+G_{1}G_{2}}$ $G_{1}G_{2}+G_{1}+1$ $G_{1}G_{2}+G_{2}+1$ $\frac{G_{1}}{1+G_{1}G_{2}}$
Consider the following block diagram in the figure. The transfer function $\frac{C(s)}{R(s)}$ is$\frac{G_{1}G_{2}}{1+G_{1}G_{2}}$$G_{1}G_{2}+G_{1}+1$$G_{1...
Milicevic3306
16.0k
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175
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Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
network-solution-methods
transfer-function
+
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0
votes
0
answers
58
GATE ECE 2015 Set 2 | Question: 54
Two half-wave dipole antennas placed as shown in the figure are excited with sinusoidally varying currents of frequency $3\: MHz$ and phase shift of $\frac{\pi}{2}$ between them (the element at the origin leads in phase). If the maximum radiated ... plane occurs at an azimuthal angle of $60^{\circ},$ the distance $d$ (in meters) between the antennas is _________.
Two half-wave dipole antennas placed as shown in the figure are excited with sinusoidally varying currents of frequency $3\: MHz$ and phase shift of $\frac{\pi}{2}$ betwe...
Milicevic3306
16.0k
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96
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Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
sinusoidal
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–
0
votes
0
answers
59
GATE ECE 2015 Set 1 | Question: 44
For the discrete-time system shown in the figure, the poles of the system transfer function are located at $2,3 \\$ $\frac{1}{2},3 \\$ $\frac{1}{2}, \frac{1}{3} \\$ $2, \frac{1}{3}$
For the discrete-time system shown in the figure, the poles of the system transfer function are located at$2,3 \\$$\frac{1}{2},3 \\$$\frac{1}{2}, \frac{1}{3} \\$$2, \frac...
Milicevic3306
16.0k
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96
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2015-ec-1
network-solution-methods
transfer-function
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0
votes
0
answers
60
GATE ECE 2015 Set 3 | Question: 32
A network is described by the state model as $\dot{x_{1}}=2x_{1}-x_{2}+3u \\ \dot{x_{2}}=-4x_{2}-u \\ y=3x_{1}-2x_{2}$ The transfer function $H(s)\left(=\dfrac{Y(s)}{U(s)}\right)$ is $\dfrac{11s+35}{(s-2)(s+4)} \\$ $\dfrac{11s-35}{(s-2)(s+4)} \\$ $\dfrac{11s+38}{(s-2)(s+4)} \\$ $\dfrac{11s-38}{(s-2)(s+4)}$
A network is described by the state model as $$\dot{x_{1}}=2x_{1}-x_{2}+3u \\ \dot{x_{2}}=-4x_{2}-u \\ y=3x_{1}-2x_{2}$$ The transfer function $H(s)\left(=\dfrac{Y(s)}{...
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-3
transfer-function
network-solution-methods
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0
votes
0
answers
61
GATE ECE 2015 Set 1 | Question: 47
A lead compensator network includes a parallel combination of $R$ and $C$ in the feed-forward path. If the transfer function of the compensator is $G_c(s)=\frac{s+2}{s+4}$, the value of $RC$ is ___________.
A lead compensator network includes a parallel combination of $R$ and $C$ in the feed-forward path. If the transfer function of the compensator is $G_c(s)=\frac{s+2}{s+4}...
Milicevic3306
16.0k
points
94
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-1
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
62
GATE ECE 2015 Set 1 | Question: 22
A sinusoidal signal of $2$ kHz frequency is applied to a delta modulator. The sampling rate and step-size $\Delta$ of the data modulator are $20,000$ samples per second and $0.1$ V, respectively. To prevent slope overload, the maximum amplitude of the sinusoidal signal (in Volts) is $\frac{1}{2 \pi} \\$ $\frac{1}{\pi} \\$ $\frac{2}{\pi} \\$ $\pi$
A sinusoidal signal of $2$ kHz frequency is applied to a delta modulator. The sampling rate and step-size $\Delta$ of the data modulator are $20,000$ samples per second a...
Milicevic3306
16.0k
points
94
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2015-ec-1
network-solution-methods
sinusoidal
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0
votes
0
answers
63
GATE ECE 2015 Set 2 | Question: 6
The voltage $(ܸV_{C})$ across the capacitor (in Volts) in the network shown is ______.
The voltage $(ܸV_{C})$ across the capacitor (in Volts) in the network shown is ______.
Milicevic3306
16.0k
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93
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
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0
votes
0
answers
64
GATE ECE 2014 Set 3 | Question: 46
The steady state error of the system shown in the figure for a unit step input is _________.
The steady state error of the system shown in the figure for a unit step input is _________.
Milicevic3306
16.0k
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171
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Milicevic3306
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Mar 26, 2018
Network Solution Methods
gate2014-ec-3
numerical-answers
network-solution-methods
steady-state
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0
votes
0
answers
65
GATE ECE 2016 Set 1 | Question: 9
Consider a two-port network with the transmission matrix: $T = \begin{pmatrix}A & B \\C & D\end{pmatrix}$. If the network is reciprocal, then $T^{-1} = T$ $T^2 = T$ Determinant $(T) = 0$ Determinant $(T) = 1$
Consider a two-port network with the transmission matrix: $T = \begin{pmatrix}A & B \\C & D\end{pmatrix}$. If the network is reciprocal, then $T^{-1} = T$$T^2 = T$Deter...
Milicevic3306
16.0k
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91
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2016-ec-1
network-solution-methods
two-port-network
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0
votes
0
answers
66
GATE ECE 2012 | Question: 54
The transfer function of a compensator is given as $G_c(s)=\frac{s+a}{s+b}$ $G_c(s)$ is a lead compensator if $a=1,b=2$ $a=3,b=2$ $a=-3,b=-1$ $a=3,b=1$
The transfer function of a compensator is given as$$G_c(s)=\frac{s+a}{s+b}$$$G_c(s)$ is a lead compensator if$a=1,b=2$$a=3,b=2$$a=-3,b=-1$$a=3,b=1$
Milicevic3306
16.0k
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194
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Milicevic3306
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Mar 25, 2018
Network Solution Methods
gate2012-ec
network-solution-methods
transfer-function
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0
votes
0
answers
67
GATE ECE 2014 Set 4 | Question: 28
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. Which one of the following is the unilateral Laplace transform of $g(t) = t \cdot f(t)$? $\frac{-s}{(s^2+s+1)^2}$ $\frac{-(2s+1)}{(s^2+s+1)^2}$ $\frac{s}{(s^2+s+1)^2}$ $\frac{2s+1}{(s^2+s+1)^2}$
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. Which one of the following is the unilateral Laplace transform of $g(t) = t \cdot f(t)$?$\frac{-s}{(s^2...
Milicevic3306
16.0k
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163
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Milicevic3306
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Mar 26, 2018
Network Solution Methods
gate2014-ec-4
network-solution-methods
laplace-transform
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0
votes
0
answers
68
GATE ECE 2015 Set 1 | Question: 46
The open-loop transfer function of a plant in a unity feedback configuration is given as $G(s) = \frac{K(s+4)}{(s+8)(s^2-9)}$. The value of the gain $K(>0)$ for which $-1+j2$ lies on the root locus is _________.
The open-loop transfer function of a plant in a unity feedback configuration is given as $G(s) = \frac{K(s+4)}{(s+8)(s^2-9)}$. The value of the gain $K(>0)$ for which $-1...
Milicevic3306
16.0k
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79
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Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-1
numerical-answers
network-solution-methods
diodes
transfer-function
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0
votes
0
answers
69
GATE ECE 2013 | Question: 29
The open-loop transfer function of a dc motor is given as $\dfrac{\omega(s)}{V_{a}(s)} = \dfrac{10}{1+10s}.$ When connected in feedback as shown below, the approximate value of $K_{a}$ that will reduce the time constant of the closed loop system by one hundred times as compared to that of the open-loop system is $1$ $5$ $10$ $100$
The open-loop transfer function of a dc motor is given as $\dfrac{\omega(s)}{V_{a}(s)} = \dfrac{10}{1+10s}.$ When connected in feedback as shown below, the approximate v...
Milicevic3306
16.0k
points
156
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Milicevic3306
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Mar 25, 2018
Network Solution Methods
gate2013-ec
network-solution-methods
transfer-function
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0
votes
0
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70
GATE ECE 2014 Set 3 | Question: 18
For an all-pass system $H(z)= \frac{(z^{-1}-b)}{(1-az^{-1})}$, where $\mid H(e^{-j\omega }) \mid= 1,$ for all $\omega$. If $\text{Re}(a)\neq 0, \: \text{Im}(a)\neq 0,$then $b$ equals $a$ $a^{*}$ $1/a^{*}$ $1/a$
For an all-pass system $H(z)= \frac{(z^{-1}-b)}{(1-az^{-1})}$, where $\mid H(e^{-j\omega }) \mid= 1,$ for all $\omega$. If $\text{Re}(a)\neq 0, \: \text{Im}(a)\neq 0,$the...
Milicevic3306
16.0k
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147
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Milicevic3306
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Mar 26, 2018
Network Solution Methods
gate2014-ec-3
continuous-time-signals
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–
0
votes
0
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71
GATE ECE 2014 Set 4 | Question: 48
The characteristic equation of a unity negative feedback system is $1+KG(s)=0$. The open loop transfer function $G(s)$ has one pole at $0$ and two poles at $-1$. The root locus of the system for varying $K$ is shown in the figure. The constant damping ... point A. The distance from the origin to point A is given as $0.5$. The value of $K$ at point A is ________.
The characteristic equation of a unity negative feedback system is $1+KG(s)=0$. The open loop transfer function $G(s)$ has one pole at $0$ and two poles at $-1$. The root...
Milicevic3306
16.0k
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139
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Milicevic3306
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Mar 26, 2018
Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
transfer-function
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0
votes
0
answers
72
GATE ECE 2013 | Question: 11
Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor $k, \: k> 0,$ the elements of the corresponding star equivalent will be scaled by a factor of $k^{2}$ $k$ $1/k$ $\sqrt{k}$
Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor $k, \: k 0,$ th...
Milicevic3306
16.0k
points
145
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2013-ec
network-solution-methods
to-be-tagged
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0
votes
0
answers
73
GATE ECE 2013 | Question: 28
In the circuit shown below, if the source voltage $V_S = 100\angle 53.13^{\circ}\: V$ then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $R_{L}$ is $100\angle 90^{\circ}$ $800\angle 0^{\circ}$ $800\angle 90^{\circ}$ $100\angle 60^{\circ}$
In the circuit shown below, if the source voltage $V_S = 100\angle 53.13^{\circ}\: V$ then the Thevenin’s equivalentvoltage in Volts as seen by the load resistance $R_{...
Milicevic3306
16.0k
points
135
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Milicevic3306
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Mar 25, 2018
Network Solution Methods
gate2013-ec
thevenin-theorem
network-solution-methods
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0
votes
0
answers
74
GATE ECE 2014 Set 1 | Question: 19
A continuous, linear time-invariant filter has an impulse response $h(t)$ described by $h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{cases}$ When a constant input of value $5$ is applied to this filter, the steady state output is ________.
A continuous, linear time-invariant filter has an impulse response $h(t)$ described by $$h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{...
Milicevic3306
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128
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Milicevic3306
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Mar 25, 2018
Network Solution Methods
gate2014-ec-1
numerical-answers
steady-state
network-solution-methods
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0
votes
0
answers
75
GATE ECE 2012 | Question: 49
With $10\:V$ dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed: $1\: \Omega$ connected at port B draws a current of $3\:A$ $2.5\: \Omega$ connected at port B draws a current of $2\:A$ For the same network, with ... $6\:V$ $7\:V$ $8\:V$ $9\:V$
With $10\:V$ dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:$1\: \Omega$ connected at port B draws a current...
Milicevic3306
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Mar 25, 2018
Network Solution Methods
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two-port-network
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76
GATE ECE 2014 Set 2 | Question: 6
Norton’s theorem states that a complex network connected to a load can be replaced with an equivalent impedance in series with a current source in parallel with a voltage source in series with a voltage source in parallel with a current source
Norton’s theorem states that a complex network connected to a load can be replaced with an equivalent impedancein series with a current source ...
Milicevic3306
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Mar 26, 2018
Network Solution Methods
gate2014-ec-2
network-solution-methods
nortons
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77
GATE ECE 2014 Set 3 | Question: 21
The input $-3e^{2t}u(t),$ where $u(t)$ is the unit step function, is applied to a system with transfer function $\frac{s-2}{s+3}.$ If the initial value of the output is $-2$, then the value of the output at steady state is _______.
The input $-3e^{2t}u(t),$ where $u(t)$ is the unit step function, is applied to a system with transfer function $\frac{s-2}{s+3}.$ If the initial value of the output is $...
Milicevic3306
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Milicevic3306
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Mar 26, 2018
Network Solution Methods
gate2014-ec-3
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transfer-function
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78
GATE ECE 2012 | Question: 11
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. The unilateral Laplace transform of $tf(t)$ is $-\frac{s}{(s^2+s+1)^2}$ $-\frac{2s+1}{(s^2+s+1)^2}$ $\frac{s}{(s^2+s+1)^2}$ $\frac{2s+1}{(s^2+s+1)^2}$
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. The unilateral Laplace transform of $tf(t)$ is$-\frac{s}{(s^2+s+1)^2}$$-\frac{2s+1}{(s^2+s+1)^2}$$\frac...
Milicevic3306
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Mar 25, 2018
Network Solution Methods
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network-solution-methods
laplace-transform
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79
GATE ECE 2014 Set 1 | Question: 30
A $Y$-network has resistances of $10\Omega$ each in two of its arms, while the third arm has a resistance of $11\Omega.$ In the equivalent $\Delta$ – network, the lowest value (in $\Omega)$ among the three resistances is ______.
A $Y$-network has resistances of $10\Omega$ each in two of its arms, while the third arm has a resistance of $11\Omega.$ In the equivalent $\Delta$ – network, the lowe...
Milicevic3306
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Mar 25, 2018
Network Solution Methods
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numerical-answers
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80
GATE ECE 2014 Set 1 | Question: 24
A two-port network has scattering parameters given by $[S] = \begin{bmatrix}s_{11} &s_{12} \\s_{21} &s_{22} \end{bmatrix}.$ If the port-2 of the two-port is short circuited, the $s_{11}$ ... $\dfrac{s_{11} - s_{11}s_{22} + s_{12}s_{21}}{1 - s_{22}}$
A two-port network has scattering parameters given by $[S] = \begin{bmatrix}s_{11} &s_{12} \\s_{21} &s_{22} \end{bmatrix}.$ If the port-2 of the two-port is short circuit...
Milicevic3306
16.0k
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109
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Mar 25, 2018
Network Solution Methods
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two-port-network
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