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Hot questions in Networks, Signals and Systems
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41
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 ________
The figure shown an $RLC$ circuit with a sinusoidal current source. At resonance, the ratio $\mid I_{L} \mid / \mid I_{R} \mid$, i...
Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2016-ec-2
numerical-answers
network-solution-methods
rlc-circuits
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0
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0
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42
GATE ECE 2015 Set 2 | Question: 1
The bilateral Laplace transform of a function $f(t) = \begin{cases} 1 & \text{if } a \leq t \leq b \\ 0 & \text{otherwise} \end{cases}$ is $\dfrac{a-b}{s} \\$ $\dfrac{e^{s}(a-b)}{s} \\$ $\dfrac{e^{-as}-e^{-bs}}{s} \\$ $\dfrac{e^{s(a-b)}}{s}$
The bilateral Laplace transform of a function $f(t) = \begin{cases} 1 & \text{if } a \leq t \leq b \\ 0 & \text{otherwise} \end{cases}$ is$\dfrac{a-b}{s} \\$$\dfrac{e^{s...
Milicevic3306
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210
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Mar 27, 2018
Network Solution Methods
gate2015-ec-2
network-solution-methods
laplace-transform
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–
0
votes
0
answers
43
GATE ECE 2012 | Question: 31
The Fourier transform of a signal $h(t)$ is $H(j\omega)=(2\cos\omega)(\sin2\omega)/\omega$. The value of $h(0)$ is $\frac{1}{4}$ $\frac{1}{2}$ $1$ $2$
The Fourier transform of a signal $h(t)$ is $H(j\omega)=(2\cos\omega)(\sin2\omega)/\omega$. The value of $h(0)$ is$\frac{1}{4}$$\frac{1}{2}$$1$$2$
Milicevic3306
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302
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Mar 25, 2018
Continuous-time Signals
gate2012-ec
continuous-time-signals
signals-and-systems
fourier-transform
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0
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0
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44
GATE ECE 2015 Set 2 | Question: 44
Consider two real sequences with time-origin marked by the bold value, $x_{1}[n] = \{\textbf{1},2,3,0\},\:\:x_{2}[n] = \{\textbf{1},3,2,1\}$ Let ܺ$X_{1}(k)$ and ܺ$X_{2}(k)$ be $4$-point DFTs of $x_{1}[n]$ and $x_{2}[n]$, respectively. Another ... $4$-point inverse DFT of $X_{3}(k) = X_{1}(k)X_{2}(k).$ The value of $x_{3}[2]$ is ________.
Consider two real sequences with time-origin marked by the bold value, $$x_{1}[n] = \{\textbf{1},2,3,0\},\:\:x_{2}[n] = \{\textbf{1},3,2,1\}$$ Let ܺ$X_{1}(k)$ and ܺ$X_{...
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194
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Milicevic3306
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Mar 27, 2018
Continuous-time Signals
gate2015-ec-2
numerical-answers
continuous-time-signals
discrete-fourier-transform
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–
1
votes
0
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45
GATE ECE 2016 Set 3 | Question: 42
In the circuit shown in the figure, transistor $M1$ is in saturation and has transconductance $g_m = 0.01$ siemens. Ignoring internal parasitic capacitances and assuming the channel length modulation $\lambda$ to be zero,the small signal input pole frequency (in $kHz$) is _________
In the circuit shown in the figure, transistor $M1$ is in saturation and has transconductance $g_m = 0.01$ siemens. Ignoring internal parasitic capacitances and assuming ...
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150
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Mar 27, 2018
Network Solution Methods
gate2016-ec-3
numerical-answers
network-solution-methods
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0
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0
answers
46
GATE ECE 2015 Set 2 | Question: 45
Let $x(t) = \alpha s(t) + s(-t)$ with $s(t) = \beta e^{-4t}u(t),$ where $u(t)$ is unit step function. If the bilateral Laplace transform of $x(t)$ is $X(s) = \dfrac{16}{s^{2} – 16}\:\: -4 < Re\{s\}<4;$ then the value of $\beta$ is ______.
Let $x(t) = \alpha s(t) + s(-t)$ with $s(t) = \beta e^{-4t}u(t),$ where $u(t)$ is unit step function. If the bilateral Laplace transform of $x(t)$ is $$X(s) = \dfrac{1...
Milicevic3306
16.0k
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187
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
laplace-transform
+
–
0
votes
0
answers
47
GATE ECE 2015 Set 2 | Question: 21
A unity negative feedback system has an open-loop transfer function $G(S) = \dfrac{K}{s(s+10)}$. The gain $K$ for the system to have a damping ratio of $0.25$ is ________.
A unity negative feedback system has an open-loop transfer function $G(S) = \dfrac{K}{s(s+10)}$. The gain $K$ for the system to have a damping ratio of $0.25$ is ________...
Milicevic3306
16.0k
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184
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
transfer-function
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–
0
votes
0
answers
48
GATE ECE 2016 Set 3 | Question: 47
A second-order linear time-invariant 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
A second-order linear time-invariant 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(...
Milicevic3306
16.0k
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173
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2016-ec-3
network-solution-methods
state-equations
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–
0
votes
0
answers
49
GATE ECE 2015 Set 2 | Question: 23
The signal $\cos \left(10\pi t + \dfrac{\pi}{4}\right)$ is ideally sampled at a sampling frequency of $15 Hz.$ ... $\dfrac{15}{2}\left(\dfrac{\sin (\pi t)}{\pi t}\right)\cos\left(40\pi t - \dfrac{\pi}{2}\right)$
The signal $\cos \left(10\pi t + \dfrac{\pi}{4}\right)$ is ideally sampled at a sampling frequency of $15 Hz.$ The sampled signal is passed through a filter with impulse ...
Milicevic3306
16.0k
points
174
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-2
continuous-time-signals
sampling-theorem
+
–
0
votes
0
answers
50
GATE ECE 2015 Set 3 | Question: 42
Suppose $x[n]$ is an absolutely summable discrete-time signal. Its $z$-transform is a rational function with two poles and two zeroes. The poles are at $z = \pm 2j.$ Which one of the following statements is TRUE for the signal $x[n]$? It is a finite duration signal It is a causal signal It is a non-causal signal It is a periodic signal.
Suppose $x[n]$ is an absolutely summable discrete-time signal. Its $z$-transform is a rational function with two poles and two zeroes. The poles are at $z = \pm 2j.$ Whic...
Milicevic3306
16.0k
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173
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Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
continuous-time-signals
signals-and-systems
fourier-transform
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–
1
votes
0
answers
51
GATE ECE 2015 Set 3 | Question: 31
The $ABCD$ parameters of the following $2$-port network are $\begin{bmatrix}3.5 + j2 & 20.5 \\ 20.5 & 3.5-j2 \end{bmatrix} \\$ $\begin{bmatrix}3.5 +j2 & 30.5 \\ 0.5&3.5-j2 \end{bmatrix} \\$ $\begin{bmatrix}10 &2+j0 \\2+j0 &10 \end{bmatrix} \\$ $\begin{bmatrix}7+j4 &0.5 \\ 30.5&7-j4 \end{bmatrix} $
The $ABCD$ parameters of the following $2$-port network are$\begin{bmatrix}3.5 + j2 & 20.5 \\ 20.5 & 3.5-j2 \end{bmatrix} \\$$\begin{bmatrix}3.5 +j2 & 30.5 \\ 0.5&3.5-j2 ...
Milicevic3306
16.0k
points
129
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Mar 27, 2018
Network Solution Methods
gate2015-ec-3
two-port-network
network-solution-methods
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–
0
votes
0
answers
52
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 $\cos (200t) + 2\sin (500t)$ $2\cos (200t) + 4\sin (500t)$ $\sin (200t) + 2\cos (500t)$ $2\sin (200t) + 4\cos (500t)$
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$\cos (200t) + 2\sin (500t)$...
Milicevic3306
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167
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Mar 27, 2018
Network Solution Methods
gate2016-ec-3
network-solution-methods
rlc-circuits
+
–
0
votes
0
answers
53
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 _______
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 ...
Milicevic3306
16.0k
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167
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2016-ec-3
numerical-answers
network-solution-methods
diodes
steady-state
+
–
0
votes
0
answers
54
GATE ECE 2016 Set 2 | Question: 10
The energy of the signal $x(t)= \frac{\sin(4\pi t)}{4\pi t}$ is ________
The energy of the signal $x(t)= \frac{\sin(4\pi t)}{4\pi t}$ is ________
Milicevic3306
16.0k
points
167
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-2
numerical-answers
continuous-time-signals
to-be-tagged
+
–
0
votes
0
answers
55
GATE ECE 2016 Set 1 | Question: 7
A continuous-time function $x(t)$ is periodic with period $T$. The function is sampled uniformly with a sampling period $T_s$. In which one of the following cases is the sampled signal periodic? $T =\sqrt2 \: T_s$ $T = 1.2 \: T_s$ Always Never
A continuous-time function $x(t)$ is periodic with period $T$. The function is sampled uniformly with a sampling period $T_s$. In which one of the following cases is the ...
Milicevic3306
16.0k
points
167
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-1
continuous-time-signals
sampling-theorem
+
–
0
votes
0
answers
56
GATE ECE 2015 Set 3 | Question: 21
The transfer function of a first-order 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 $a<b$ $a>b$ $K<ab$ $K>ab$
The transfer function of a first-order 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 c...
Milicevic3306
16.0k
points
164
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Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-3
network-solution-methods
transfer-function
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–
0
votes
0
answers
57
GATE ECE 2015 Set 1 | Question: 32
In the given circuit, the maximum power (in Watts) that can be transferred to the load $R_L$ is ________.
In the given circuit, the maximum power (in Watts) that can be transferred to the load $R_L$ is ________.
Milicevic3306
16.0k
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163
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Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-1
numerical-answers
network-solution-methods
maximum-power-transfer
+
–
0
votes
0
answers
58
GATE ECE 2016 Set 1 | Question: 46
The open-loop transfer function of a unity feedback control system is given by $G(s)= \frac{K}{s(s+2)}$. For the peak overshoot of the closed-loop system to a unit step input to be $10 \%$, the value of $K$ is _________
The open-loop transfer function of a unity feedback control system is given by $$G(s)= \frac{K}{s(s+2)}$$. For the peak overshoot of the closed-loop system to a unit step...
Milicevic3306
16.0k
points
162
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Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-1
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
59
GATE ECE 2015 Set 1 | Question: 6
In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is ____________.
In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is ____________.
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16.0k
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159
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Mar 27, 2018
Network Solution Methods
gate2015-ec-1
numerical-answers
network-solution-methods
sinusoidal
+
–
0
votes
0
answers
60
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 ______
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 a...
Milicevic3306
16.0k
points
158
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-2
numerical-answers
network-solution-methods
diodes
steady-state
+
–
0
votes
0
answers
61
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 $F(S) = \frac{1}{1+e^{-sT/2}} \\$ $F(S) =\frac{1}{s(1+e^{-sT/2})} \\$ $F(S) = \frac{1}{s(1-e^{-sT})} \\$ $F(S) = \frac{1}{1-e^{-sT}}$
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(...
Milicevic3306
16.0k
points
156
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-1
network-solution-methods
laplace-transform
+
–
0
votes
0
answers
62
GATE ECE 2015 Set 2 | Question: 5
The magnitude and phase of the complex Fourier series coefficients ܽ$a_{k}$ of a periodic signal $x(t)$ are shown in the figure. Choose the correct statement from the four choices given. Notation: $C$ is the set of complex numbers, ܴ$R$ is the set of purely ... $x(t)\in P$ $x(t)\in (C-R)$ the information given is not sufficient to draw any conclusion about $x(t)$
The magnitude and phase of the complex Fourier series coefficients ܽ$a_{k}$ of a periodic signal $x(t)$ are shown in the figure. Choose the correct statement from the fo...
Milicevic3306
16.0k
points
155
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-2
continuous-time-signals
signals-and-systems
fourier-transform
+
–
0
votes
0
answers
63
GATE ECE 2016 Set 3 | Question: 36
The direct form structure of an FIR (finite impulse response) filter is shown in the figure. The filter can be used to approximate a low-pass filter high-pass filter band-pass filter band-stop filter
The direct form structure of an FIR (finite impulse response) filter is shown in the figure.The filter can be used to approximate alow-pass filterhigh-pass filterband-pas...
Milicevic3306
16.0k
points
153
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-3
continuous-time-signals
impulse-response
+
–
0
votes
0
answers
64
GATE ECE 2016 Set 3 | Question: 7
If the signal $x(t) = \large \frac{\sin(t)}{\pi t}$*$\large \frac{\sin(t)}{\pi t}$ with $*$ denoting the convolution operation, then $x(t)$ is equal to $\large\frac{\sin(t)}{\pi t}$ $\large\frac{\sin(2t)}{2\pi t}$ $\large\frac{2\sin(t)}{\pi t}$ $\bigg(\frac{\sin(t)}{\pi t}\bigg)^2$
If the signal $x(t) = \large \frac{\sin(t)}{\pi t}$$*$$\large \frac{\sin(t)}{\pi t}$ with $*$ denoting the convolution operation, then $x(t)$ is equal to $\large\frac{\si...
Milicevic3306
16.0k
points
152
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
signals-and-systems
+
–
0
votes
0
answers
65
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 $\begin{bmatrix} 2 &-2\\-2 &2 \end{bmatrix} \\$...
Milicevic3306
16.0k
points
152
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
network-solution-methods
+
–
0
votes
0
answers
66
GATE ECE 2015 Set 2 | Question: 48
The transfer function of a mass-spring-damper system is given by $G(S) = \dfrac{1}{Ms^{2}+Bs+K}$ ... The unit step response of the system approaches a steady state value of ________.
The transfer function of a mass-spring-damper system is given by $$G(S) = \dfrac{1}{Ms^{2}+Bs+K}$$The frequency response data for the system are given in the following ta...
Milicevic3306
16.0k
points
152
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
67
GATE ECE 2015 Set 3 | Question: 6
For the circuit shown in the figure, the Thevenin equivalent voltage (in Volts) across terminals $a-b$ is _______.
For the circuit shown in the figure, the Thevenin equivalent voltage (in Volts) across terminals $a-b$ is _______.
Milicevic3306
16.0k
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149
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2015-ec-3
numerical-answers
network-solution-methods
thevenin-theorem
+
–
0
votes
0
answers
68
GATE ECE 2015 Set 3 | Question: 20
The phase margin (in degrees) of the system $G(s) = \dfrac{10}{s(s+10)}$ is _______.
The phase margin (in degrees) of the system $G(s) = \dfrac{10}{s(s+10)}$ is _______.
Milicevic3306
16.0k
points
147
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Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
numerical-answers
continuous-time-signals
phase-delay
+
–
0
votes
0
answers
69
GATE ECE 2015 Set 3 | Question: 45
Consider a continuous-time signal defined as $x(t)=\left(\dfrac{\sin(\pi t/2)}{(\pi t /2)}\right)\ast \sum _{n=-\infty}^{\infty}\delta(t-10n)$ where $’\ast’$ denotes the convolution operation and $t$ is in seconds. The Nyquist sampling rate $\text{(in samples/sec)}$ for $x(t)$ is _______.
Consider a continuous-time signal defined as$$x(t)=\left(\dfrac{\sin(\pi t/2)}{(\pi t /2)}\right)\ast \sum _{n=-\infty}^{\infty}\delta(t-10n)$$where $’\ast’$ denotes ...
Milicevic3306
16.0k
points
147
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Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
numerical-answers
continuous-time-signals
convolution
nyquist
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–
0
votes
0
answers
70
GATE ECE 2016 Set 2 | Question: 33
The Discrete Fourier Transform (DFT) of the $4$-point sequence $x\left [ n \right ]=\left \{ x\left [ 0 \right ],x\left [ 1 \right ], x\left [ 2 \right ], x\left [ 3 \right ] \right \}= \left \{ 3,2,3,4 \right \}$ ... $\left | \frac{X_{1}\left [ 8 \right ]}{X_{1}\left [ 11 \right ]} \right |$ is _________
The Discrete Fourier Transform (DFT) of the $4$-point sequence$x\left [ n \right ]=\left \{ x\left [ 0 \right ],x\left [ 1 \right ], x\left [ 2 \right ], x\left [ 3 \righ...
Milicevic3306
16.0k
points
146
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Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-2
numerical-answers
continuous-time-signals
discrete-fourier-transform
+
–
0
votes
0
answers
71
GATE ECE 2015 Set 1 | Question: 31
In the circuit shown, switch SW is closed at $t=0$. Assuming zero initial conditions, the value of $v_c(t)$ (in Volts) at $t=1$ sec is _________.
In the circuit shown, switch SW is closed at $t=0$. Assuming zero initial conditions, the value of $v_c(t)$ (in Volts) at $t=1$ sec is _________.
Milicevic3306
16.0k
points
144
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-1
numerical-answers
continuous-time-signals
poles-and-zeros
+
–
0
votes
0
answers
72
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
16.0k
points
142
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
numerical-answers
network-solution-methods
transfer-function
bode-and-root-locus-plots
+
–
0
votes
0
answers
73
GATE ECE 2016 Set 3 | Question: 49
A wide sense stationary random process $X(t)$ passes through the LTI system shown in the figure. If the autocorrelation function of $X(t)$ is $R_X(\tau)$, then the autocorrelation function $R_Y(\tau)$ of the output $Y(t)$ ... $2R_X(\tau)-R_X(\tau-T_0)-R_X(\tau+T_0)$ $2R_X(\tau)+2R_X(\tau- 2T_0)$ $2R_X(\tau)-2R_X(\tau- 2T_0)$
A wide sense stationary random process $X(t)$ passes through the LTI system shown in the figure. If the autocorrelation function of $X(t)$ is $R_X(\tau)$, then the autoco...
Milicevic3306
16.0k
points
142
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-3
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
74
GATE ECE 2015 Set 3 | Question: 17
The impulse response of an LTI system can be obtained by differentiating the unit ramp response differentiating the unit step response integrating the unit ramp response integrating the unit step response
The impulse response of an LTI system can be obtained by differentiating the unit ramp response differentiating the unit step response integrating the unit ramp response ...
Milicevic3306
16.0k
points
141
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
continuous-time-signals
impulse-response
linear-time-invariant-systems
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75
GATE ECE 2015 Set 3 | Question: 43
A realization of a stable discrete time system is shown in the figure. If the system is excited by a unit step sequence input $x[n ],$ the response $y[n ]$ is $4\left(-\dfrac{1}{3}\right)^{n}\:u[n]-5\left(-\dfrac{2}{3}\right)^{n}\:u[n]$ ... $5\left(\dfrac{2}{3}\right)^{n}\:u[n]-5\left(\dfrac{1}{3}\right)^{n}\:u[n]$
A realization of a stable discrete time system is shown in the figure. If the system is excited by a unit step sequence input $x[n ],$ the response $y[n ]$ is$4\left(-\df...
Milicevic3306
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Continuous-time Signals
gate2015-ec-3
continuous-time-signals
discrete-time-signals
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0
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76
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...
Milicevic3306
16.0k
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138
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Milicevic3306
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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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77
GATE ECE 2016 Set 3 | Question: 30
A signal $2 \cos(\frac{2\pi}{3}t)-\cos(\pi t)$ is the input to an LTI system with the transfer function $H(s)=e^s+e^{-s}.$ If $C_k$ denotes the $k^{th}$ coefficient in the exponential Fourier series of the output signal, then $C_3$ is equal to $0$ $1$ $2$ $3$
A signal $2 \cos(\frac{2\pi}{3}t)-\cos(\pi t)$ is the input to an LTI system with the transfer function$$H(s)=e^s+e^{-s}.$$If $C_k$ denotes the $k^{th}$ coefficient in th...
Milicevic3306
16.0k
points
136
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Milicevic3306
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Mar 27, 2018
Continuous-time Signals
gate2016-ec-3
continuous-time-signals
linear-time-invariant-systems
transfer-function
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0
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0
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78
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...
Milicevic3306
16.0k
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Milicevic3306
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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
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79
GATE ECE 2015 Set 1 | Question: 23
Consider the signal $s(t)=m(t) \cos(2 \pi \: f_ct)+ \hat{m}(t) \sin(2 \pi f_c t)$ where $\hat{m}(t)$ denotes the Hilbert transform of $m(t)$ and the bandwidth of $m(t)$ is very small compared to $f_c$. The signal $s(t)$ is a high-pass signal low-pass signal band-pass signal double sideband suppressed carrier signal
Consider the signal $s(t)=m(t) \cos(2 \pi \: f_ct)+ \hat{m}(t) \sin(2 \pi f_c t)$ where $\hat{m}(t)$ denotes the Hilbert transform of $m(t)$ and the bandwidth of $m(t)$ i...
Milicevic3306
16.0k
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135
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Milicevic3306
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Mar 27, 2018
Continuous-time Signals
gate2015-ec-1
continuous-time-signals
to-be-tagged
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0
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0
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80
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
16.0k
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134
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Mar 27, 2018
Network Solution Methods
gate2016-ec-1
network-solution-methods
laplace-transform
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