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Recent questions tagged networksolutionmethods
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1
GATE ECE 2020  Question: 9
In the circuit shown below, the Thevenin voltage $V_{TH}$is $2.4\:V$ $2.8\:V$ $3.6\:V$ $4.5\:V$
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Feb 13, 2020
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Network Solution Methods
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jothee
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51
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gate2020ec
networksolutionmethods
thevenintheorem
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2
GATE ECE 2020  Question: 15
In the given circuit, the twoport network has the impedance matrix $\begin{bmatrix} Z \end{bmatrix}=\begin{bmatrix} 40 & 60\\ 60& 120 \end{bmatrix}$. The value of $Z_{L}$ for which maximum power is transferred to the load is _____________$\Omega$.
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Feb 13, 2020
in
Network Solution Methods
by
jothee
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47
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gate2020ec
numericalanswers
networksolutionmethods
twoportnetwork
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3
GATE ECE 2020  Question: 16
The current in the $\text{RL}$circuit shown below is $i\left ( t \right )=10\cos\left ( 5t\pi /4 \right )A$. The value of the inductor $\text{(rounded off to two decimal places)}$ is _______ $\text{H}$.
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Feb 13, 2020
in
Network Solution Methods
by
jothee
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1.8k
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38
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gate2020ec
numericalanswers
networksolutionmethods
0
votes
0
answers
4
GATE ECE 2020  Question: 17
In the circuit shown below, all the components are ideal and the input voltage is sinusoidal. The magnitude of the steadystate output $V_{o}$ ( rounded off to two decimal places) is ______ $V$.
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Feb 13, 2020
in
Network Solution Methods
by
jothee
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1.8k
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29
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gate2020ec
numericalanswers
networksolutionmethods
steadystate
sinusoidal
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5
GATE ECE 2020  Question: 23
The loop transfer function of a negative feedback system is $G\left ( s \right )H\left ( s \right )=\frac{K(s+11)}{s(s+2)(s+8)}.$ The value of $K$, for which the system is marginally stable, is ___________.
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Feb 13, 2020
in
Network Solution Methods
by
jothee
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1.8k
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45
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gate2020ec
numericalanswers
networksolutionmethods
transferfunction
0
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6
GATE ECE 2020  Question: 28
The current $I$ in the given network is $0 \: A$ $2.38\angle 96.37^{\circ}A$ $2.38\angle143.63^{\circ}A$ $2.38\angle23.63^{\circ}A$
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Feb 13, 2020
in
Network Solution Methods
by
jothee
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1.8k
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28
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gate2020ec
networksolutionmethods
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GATE ECE 2020  Question: 30
For the given circuit, which one of the following is correct state equation? ...
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Feb 13, 2020
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Network Solution Methods
by
jothee
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1.8k
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24
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gate2020ec
networksolutionmethods
stateequations
0
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0
answers
8
GATE ECE 2020  Question: 37
Using the incremental low frequency smallsignal model of the $\text{MOS}$ device, the Norton equivalent resistance of the following circuit is $r_{ds}+R+g_{m}r_{ds}R \\$ $\dfrac{r_{ds}+R}{1+g_{m}r_{ds}} \\$ $r_{ds}+\dfrac{1}{g_{m}}+R \\$ $r_{ds}+R$
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Feb 13, 2020
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Network Solution Methods
by
jothee
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1.8k
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61
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gate2020ec
networksolutionmethods
nortons
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0
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9
GATE ECE 2020  Question: 49
A system with transfer function $G\left ( s \right )=\dfrac{1}{\left ( s+1 \right )\left ( s+a \right )},\:\:a> 0$ is subjected to an input $5 \cos3t$. The steady state output of the system is $\dfrac{1}{\sqrt{10}}\cos\left ( 3t1.892 \right )$. The value of $a$ is _______.
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Feb 13, 2020
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Network Solution Methods
by
jothee
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17
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gate2020ec
numericalanswers
networksolutionmethods
transferfunction
0
votes
0
answers
10
GATE ECE 2020  Question: 53
The transfer function of a stable discretetime $\text{LTI}$ system is $H\left ( z \right )=\dfrac{K\left ( z\alpha \right )}{z+0.5}$, where $K$ and $\alpha$ are real numbers. The value of $\alpha$ (rounded off to one decimal place) with $\mid \alpha \mid > 1$, for which the magnitude response of the system is constant over all frequencies, is ___________.
asked
Feb 13, 2020
in
Network Solution Methods
by
jothee
(
1.8k
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20
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gate2020ec
numericalanswers
networksolutionmethods
transferfunction
0
votes
0
answers
11
GATE ECE 2020  Question: 55
Consider the following closed loop control system where $G\left ( s \right )=\dfrac{1}{s\left ( s+1 \right )}$ and $C\left ( s \right )=K\dfrac{s+1}{s+3}$. If the steady state error for a unit ramp input is $0.1$, then the value of $K$ is ______________.
asked
Feb 13, 2020
in
Network Solution Methods
by
jothee
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1.8k
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32
views
gate2020ec
numericalanswers
networksolutionmethods
steadystate
0
votes
0
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12
GATE ECE 2019  Question: 4
Consider the twoport resistive network shown in the figure. When an excitation of $5\: V$ is applied across Port $1$, and Port $2$ is shorted, the current through the short circuit at Port $2$ is measured to be $1\: A$ ... ), what is the current through the short circuit at Port $1?$ $0.5\: A$ $1\: A$ $2\: A$ $2.5\: A$
asked
Feb 12, 2019
in
Network Solution Methods
by
Arjun
(
4.4k
points)

97
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gate2019ec
twoportnetwork
networksolutionmethods
0
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0
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13
GATE ECE 2019  Question: 5
Let $Y(s)$ be the unitstep response of a causal system having a transfer function $G(s)= \dfrac{3s}{(s+1)(s+3)}$ that is ,$Y(s)=\dfrac{G(s)}{s}.$ The forced response of the system is $u(t)2e^{t}u(t)+e^{3t}u(t)$ $2u(t)2e^{t}u(t)+e^{3t}u(t)$ $2u(t)$ $u(t)$
asked
Feb 12, 2019
in
Network Solution Methods
by
Arjun
(
4.4k
points)

178
views
gate2019ec
networksolutionmethods
signalsandsystems
transferfunction
0
votes
0
answers
14
GATE ECE 2019  Question: 30
In the circuit shown, if $v(t)=2 \sin(1000\: t)$ volts, $R=1\:k \Omega$ and $C=1\:\mu F,$ then the steadystate current $i(t)$, milliamperes (mA), is $\sin(1000\: t)+ \cos(1000\: t)$ $2 \sin(1000\: t) +2 \cos(1000\: t)$ $3 \sin(1000\: t) + \cos(1000\: t)$ $\sin(1000\: t) +3 \cos(1000\: t)$
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Feb 12, 2019
in
Network Solution Methods
by
Arjun
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4.4k
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48
views
gate2019ec
networksolutionmethods
steadystate
0
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0
answers
15
GATE ECE 2019  Question: 31
Consider a causal secondorder system with the transfer function $G(s)=\dfrac{1}{1+2s+s^{2}}$ with a unitstep $R(s)=\dfrac{1}{s}$ as an input. Let $C(s)$ be the corresponding output. The time taken by the system output $c(t)$ to reach $94\%$ of its ... value $\underset{t\rightarrow \infty}{\lim}\:c(t),$ rounded off to two decimal places, is $5.25$ $4.50$ $3.89$ $2.81$
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Feb 12, 2019
in
Network Solution Methods
by
Arjun
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4.4k
points)

54
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gate2019ec
networksolutionmethods
transferfunction
0
votes
0
answers
16
GATE ECE 2019  Question: 32
The block diagram of a system is illustrated in the figure shown, where $X(s)$ is the input and $Y(s)$ is the output. The transfer function $H(s)=\dfrac{Y(s)}{X(s)}$ is $H(s)=\frac{s^{2}+1}{s^{3}+s^{2}+s+1}$ $H(s)=\frac{s^{2}+1}{s^{3}+2s^{2}+s+1}$ $H(s)=\frac{s+1}{s^{2}+s+1}$ $H(s)=\frac{s^{2}+1}{2s^{2}+1}$
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Feb 12, 2019
in
Network Solution Methods
by
Arjun
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4.4k
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28
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gate2019ec
networksolutionmethods
transferfunction
0
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0
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17
GATE ECE 2019  Question: 42
Consider a unity feedback system, as in the figure shown, with an integral compensator $\dfrac{K}{s}$ and openloop transfer function $G(s)=\dfrac{1}{s^{2}+3s+2}$ where $K>0.$ The positive value of $K$ for which there are exactly two poles of the unity feedback system on the $j\omega$ axis is equal to ________ (rounded off to two decimal places).
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Feb 12, 2019
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Network Solution Methods
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Arjun
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4.4k
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23
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gate2019ec
numericalanswers
feedbacksystems
networksolutionmethods
0
votes
0
answers
18
GATE ECE 2016 Set 3  Question: 9
In the RLC circuit shown in the figure, the input voltage is given by $v_i(t) = 2\cos (200t) + 4\sin (500t).$ The output voltage $v_o(t)$ is $\cos (200t) + 2\sin (500t)$ $2\cos (200t) + 4\sin (500t)$ $\sin (200t) + 2\cos (500t)$ $2\sin (200t) + 4\cos (500t)$
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Mar 28, 2018
in
Network Solution Methods
by
Milicevic3306
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15.8k
points)

19
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gate2016ec3
networksolutionmethods
rlccircuits
0
votes
0
answers
19
GATE ECE 2016 Set 3  Question: 13
The diodes $D1$ and $D2$ in the figure are ideal and the capacitors are identical. The product $RC$ is very large compared to the time period of the ac voltage. Assuming that the diodes do not breakdown in the reverse bias, the output voltage $V_o$(in volt) at the steady state is _______
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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15.8k
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36
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gate2016ec3
numericalanswers
networksolutionmethods
diodes
steadystate
0
votes
0
answers
20
GATE ECE 2016 Set 3  Question: 32
Assume that the circuit in the figure has reached the steady state before time $t = 0$ when the $3\;\Omega$ resistor suddenly burns out, resulting in an open circuit. The current $i(t)$ (in ampere) at $t=0^+$ is _______
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Mar 28, 2018
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Network Solution Methods
by
Milicevic3306
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15.8k
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24
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gate2016ec3
numericalanswers
networksolutionmethods
steadystate
0
votes
0
answers
21
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 twoport network shown is $\begin{bmatrix} 2 &2\\2 &2 \end{bmatrix} \\$ $\begin{bmatrix} 2 &2\\2 &2 \end{bmatrix} \\$ $\begin{bmatrix} 9 &3\\6 &9 \end{bmatrix} \\$ $\begin{bmatrix} 9 &3\\6 &9 \end{bmatrix}$
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Mar 28, 2018
in
Network Solution Methods
by
Milicevic3306
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15.8k
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14
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gate2016ec3
networksolutionmethods
0
votes
0
answers
22
GATE ECE 2016 Set 3  Question: 42
In the circuit shown in the figure, transistor $M1$ is in saturation and has transconductance $g_m = 0.01$ siemens. Ignoring internal parasitic capacitances and assuming the channel length modulation $\lambda$ to be zero,the small signal input pole frequency (in $kHz$) is _________
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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15.8k
points)

22
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gate2016ec3
numericalanswers
networksolutionmethods
0
votes
0
answers
23
GATE ECE 2016 Set 3  Question: 47
A secondorder linear timeinvariant system is described by the following state equations $\frac{d}{dt}x_1(t)+2x_1(t)=3u(t)$ $\frac{d}{dt}x_2(t)+x_2(t)=u(t)$ where $x_1(t)$ and $x_2(t)$ are the two ... , then the system is controllable but not observable observable but not controllable both controllable and observable neither controllable nor observable
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Mar 28, 2018
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Network Solution Methods
by
Milicevic3306
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17
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gate2016ec3
networksolutionmethods
stateequations
0
votes
0
answers
24
GATE ECE 2016 Set 3  Question: 48
The forwardpath transfer function and the feedbackpath 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 _________
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Mar 28, 2018
in
Network Solution Methods
by
Milicevic3306
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15.8k
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17
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gate2016ec3
numericalanswers
networksolutionmethods
transferfunction
bodeandrootlocusplots
0
votes
0
answers
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GATE ECE 2016 Set 2  Question: 8
The figure shown an $RLC$ circuit with a sinusoidal current source. At resonance, the ratio $\mid I_{L} \mid / \mid I_{R} \mid$, i.e., the ratio of the magnitudes of the inductor current phasor and the resistor current phasor, is ________
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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20
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gate2016ec2
numericalanswers
networksolutionmethods
rlccircuits
0
votes
0
answers
26
GATE ECE 2016 Set 2  Question: 32
A continuoustime 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 timefilter. The value of $k$ is _________
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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17
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gate2016ec2
numericalanswers
networksolutionmethods
transferfunction
0
votes
0
answers
27
GATE ECE 2016 Set 2  Question: 34
The switch $S$ in the circuit shown has been closed for a long time. It is opened at $t = 0$ and remains open after that. Assume that the diode has zero reverse current and zero forward voltage drop. The steady state magnitude of the capacitor voltage $V_{c}$ (in volts) is ______
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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15.8k
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18
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gate2016ec2
numericalanswers
networksolutionmethods
diodes
steadystate
0
votes
0
answers
28
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.
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Network Solution Methods
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gate2016ec1
networksolutionmethods
laplacetransform
0
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0
answers
29
GATE ECE 2016 Set 1  Question: 9
Consider a twoport 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 $(T) = 1$
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Mar 28, 2018
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Network Solution Methods
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11
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gate2016ec1
networksolutionmethods
twoportnetwork
0
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0
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30
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 _________
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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15.8k
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20
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gate2016ec1
numericalanswers
networksolutionmethods
sinusoidalsignal
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votes
0
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31
GATE ECE 2016 Set 1  Question: 30
The Laplace transform of the casual periodic square wave of period $T$ shown in the figure below is $F(S) = \frac{1}{1+e^{sT/2}} \\$ $F(S) =\frac{1}{s(1+e^{sT/2})} \\$ $F(S) = \frac{1}{s(1e^{sT})} \\$ $F(S) = \frac{1}{1e^{sT}}$
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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15.8k
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25
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gate2016ec1
networksolutionmethods
laplacetransform
0
votes
0
answers
32
GATE ECE 2016 Set 1  Question: 45
The openloop transfer function of a unityfeedback 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 rootlocus plot is _________
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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14
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gate2016ec1
numericalanswers
networksolutionmethods
transferfunction
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votes
0
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33
GATE ECE 2016 Set 1  Question: 46
The openloop transfer function of a unity feedback control system is given by $G(s)= \frac{K}{s(s+2)}$. For the peak overshoot of the closedloop system to a unit step input to be $10 \%$, the value of $K$ is _________
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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15.8k
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13
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gate2016ec1
numericalanswers
networksolutionmethods
transferfunction
0
votes
0
answers
34
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 _________
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Network Solution Methods
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gate2016ec1
numericalanswers
networksolutionmethods
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0
votes
0
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35
GATE ECE 2015 Set 3  Question: 6
For the circuit shown in the figure, the Thevenin equivalent voltage (in Volts) across terminals $ab$ is _______.
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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15.8k
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34
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gate2015ec3
numericalanswers
networksolutionmethods
thevenintheorem
0
votes
0
answers
36
GATE ECE 2015 Set 3  Question: 14
The circuit shown consists of JK flipflops, each with an active low asynchronous reset $(\overline{R_{d}}\:\text{input}).$ The counter corresponding to this circuit is a modulo$5$ binary up counter a modulo$6$ binary down counter a modulo$5$ binary down counter a modulo$6$ binary up counter
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Network Solution Methods
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Milicevic3306
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15.8k
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18
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gate2015ec3
networksolutionmethods
flipflops
0
votes
0
answers
37
GATE ECE 2015 Set 3  Question: 21
The transfer function of a firstorder controller is given as $G_{C}(s) = \dfrac{K(s+a)}{s+b}$where $K,a$ and ܾ$b$ are positive real numbers. The condition for this controller to act as a phase lead compensator is $a<b$ $a>b$ $K<ab$ $K>ab$
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Mar 28, 2018
in
Network Solution Methods
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Milicevic3306
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15.8k
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16
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gate2015ec3
networksolutionmethods
transferfunction
+1
vote
0
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38
GATE ECE 2015 Set 3  Question: 31
The $ABCD$ parameters of the following $2$port network are $\begin{bmatrix}3.5 + j2 & 20.5 \\ 20.5 & 3.5j2 \end{bmatrix} \\$ $\begin{bmatrix}3.5 +j2 & 30.5 \\ 0.5&3.5j2 \end{bmatrix} \\$ $\begin{bmatrix}10 &2+j0 \\2+j0 &10 \end{bmatrix} \\$ $\begin{bmatrix}7+j4 &0.5 \\ 30.5&7j4 \end{bmatrix} $
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15
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gate2015ec3
twoportnetwork
networksolutionmethods
0
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0
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39
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 $\dfrac{11s+35}{(s2)(s+4)} \\$ $\dfrac{11s35}{(s2)(s+4)} \\$ $\dfrac{11s+38}{(s2)(s+4)} \\$ $\dfrac{11s38}{(s2)(s+4)}$
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Network Solution Methods
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gate2015ec3
transferfunction
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0
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40
GATE ECE 2015 Set 3  Question: 46
The position control of a DC servomotor is given in the figure. The values of the parameters are $K_{T}=1 \: Nm/A, R_{a}=1\Omega, L_{a} = 0.1H,J=5kgm^{2},B=1Nm/(rad/sec)$ and $K_{b} = 1V/(rad/sec) .$ The steadystate position response (in radians) due to unit impulse disturbance torque $T_{d}$ is _______.
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gate2015ec3
numericalanswers
networksolutionmethods
steadystate
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