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Hot questions in Networks, Signals and Systems
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121
GATE ECE 2014 Set 2 | Question: 48
Consider the state space system expressed by the signal flow diagram shown in the figure. The corresponding system is always controllable always observable always stable always unstable
Consider the state space system expressed by the signal flow diagram shown in the figure. The corresponding system isalways controllablealw...
Milicevic3306
16.0k
points
153
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Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-2
continuous-time-signals
to-be-tagged
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0
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0
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122
GATE ECE 2014 Set 1 | Question: 31
A $230\: V$ rms source supplies power to two loads connected in parallel. The first load draws $10 \: kW$ at $0.8$ leading power factor and the second one draws $10\: kVA$ at $0.8$ lagging power factor. The complex power delivered by the source is $(18 + j\:1.5)\:kVA$ $(18 – j\:1.5)\:kVA$ ‘$(20 + j\:1.5)\:kVA$ $(20 – j\:1.5)\:kVA$
A $230\: V$ rms source supplies power to two loads connected in parallel. The first load draws $10 \: kW$ at $0.8$ leading power factor and the second one draws $10\: kVA...
Milicevic3306
16.0k
points
150
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Milicevic3306
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Mar 25, 2018
Continuous-time Signals
gate2014-ec-1
continuous-time-signals
maximum-power-transfer
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0
votes
0
answers
123
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
points
148
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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
answers
124
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
points
145
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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
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0
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125
GATE ECE 2014 Set 4 | Question: 19
The sequence $x[n] = 0.5^n \: u[n]$, where $u[n]$ is the unit step sequence, is convolved with itself to obtain $y[n]$. Then $\Sigma_{n= -\infty}^{+ \infty} y[n]$ is _________.
The sequence $x[n] = 0.5^n \: u[n]$, where $u[n]$ is the unit step sequence, is convolved with itself to obtain $y[n]$. Then $\Sigma_{n= -\infty}^{+ \infty} y[n]$ is ____...
Milicevic3306
16.0k
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144
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Milicevic3306
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Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
numerical-answers
continuous-time-signals
to-be-tagged
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0
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0
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126
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
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149
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Mar 25, 2018
Network Solution Methods
gate2013-ec
network-solution-methods
to-be-tagged
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0
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0
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127
GATE ECE 2013 | Question: 14
For a periodic signal $v(t) = 30\sin100\:t + 10\cos300\:t + 6\sin(500\:t+\pi/4),$ the fundamental frequency in $rad/s$ is $100$ $300$ $500$ $1500$
For a periodic signal $v(t) = 30\sin100\:t + 10\cos300\:t + 6\sin(500\:t+\pi/4),$ the fundamental frequency in $rad/s$ is$100$$300$$500$$1500$
Milicevic3306
16.0k
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143
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Milicevic3306
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Mar 25, 2018
Continuous-time Signals
gate2013-ec
signals-and-systems
continuous-time-signals
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0
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0
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128
GATE ECE 2013 | Question: 28
In the circuit shown below, if the source voltage $V_S = 100\angle 53.13^{\circ}\: V$ then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $R_{L}$ is $100\angle 90^{\circ}$ $800\angle 0^{\circ}$ $800\angle 90^{\circ}$ $100\angle 60^{\circ}$
In the circuit shown below, if the source voltage $V_S = 100\angle 53.13^{\circ}\: V$ then the Thevenin’s equivalentvoltage in Volts as seen by the load resistance $R_{...
Milicevic3306
16.0k
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139
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Milicevic3306
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Mar 25, 2018
Network Solution Methods
gate2013-ec
thevenin-theorem
network-solution-methods
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0
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0
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129
GATE ECE 2014 Set 1 | Question: 19
A continuous, linear time-invariant filter has an impulse response $h(t)$ described by $h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{cases}$ When a constant input of value $5$ is applied to this filter, the steady state output is ________.
A continuous, linear time-invariant filter has an impulse response $h(t)$ described by $$h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{...
Milicevic3306
16.0k
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131
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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
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0
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130
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
16.0k
points
150
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2012-ec
two-port-network
network-solution-methods
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–
0
votes
0
answers
131
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
16.0k
points
123
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Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-2
network-solution-methods
nortons
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0
votes
0
answers
132
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
16.0k
points
121
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
numerical-answers
network-solution-methods
transfer-function
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0
votes
0
answers
133
GATE ECE 2013 | Question: 18
Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system? All the poles of the system must lie on the left side of the $j\omega$ axis Zeros of the system can lie anywhere in the $s$-plane All the poles must ... $\mid s \mid =1$ All the roots of the characteristic equation must be located on the left side of the $j\omega$ axis
Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system? All the poles of the system must lie on the left side of the $j\omeg...
Milicevic3306
16.0k
points
126
views
Milicevic3306
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Mar 25, 2018
Continuous-time Signals
gate2013-ec
continuous-time-signals
linear-time-invariant-systems
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–
0
votes
0
answers
134
GATE ECE 2014 Set 2 | Question: 46
An unforced linear time invariant (LTI) system is represented by $\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} -1 & 0 \\ 0& -2 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}$ If the initial conditions are $x_1(0)= 1$ and $x_2(0)= -1$, the solution of the ... $x_{1}(t)= -e^{-t}, \: x_{2}(t)= -2e^{-t}$
An unforced linear time invariant (LTI) system is represented by $$\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} -1 & 0 \\ 0& -2 \end{bmatrix} \begin{bmatrix...
Milicevic3306
16.0k
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119
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Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-2
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
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–
0
votes
0
answers
135
GATE ECE 2012 | Question: 11
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. The unilateral Laplace transform of $tf(t)$ is $-\frac{s}{(s^2+s+1)^2}$ $-\frac{2s+1}{(s^2+s+1)^2}$ $\frac{s}{(s^2+s+1)^2}$ $\frac{2s+1}{(s^2+s+1)^2}$
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. The unilateral Laplace transform of $tf(t)$ is$-\frac{s}{(s^2+s+1)^2}$$-\frac{2s+1}{(s^2+s+1)^2}$$\frac...
Milicevic3306
16.0k
points
139
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2012-ec
network-solution-methods
laplace-transform
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0
votes
0
answers
136
GATE ECE 2013 | Question: 16
A band-limited signal with a maximum frequency of $5\: kHz$ is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is $5\: kHz $ $12\: kHz$ $15\: kHz$ $20\: kHz$
A band-limited signal with a maximum frequency of $5\: kHz$ is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is$5\: kHz $$12...
Milicevic3306
16.0k
points
117
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2013-ec
continuous-time-signals
sampling-theorem
+
–
0
votes
0
answers
137
GATE ECE 2014 Set 1 | Question: 20
The forward path transfer function of a unity negative feedback system is given by $G(s) = \frac{K}{(s+2)(s-1)}$. The value of $K$ which will place both the poles of the closed-loop system at the same location, is _______.
The forward path transfer function of a unity negative feedback system is given by $$G(s) = \frac{K}{(s+2)(s-1)}$$. The value of $K$ which will place both the poles of th...
Milicevic3306
16.0k
points
112
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
numerical-answers
transfer-function
network-solution-methods
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0
votes
0
answers
138
GATE ECE 2014 Set 3 | Question: 48
In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the following transfer functions has this root locus? $\frac{s+1}{(s+2)(s+4)(s+7)} \\$ $\frac{s+4}{(s+1)(s+2)(s+7)} \\$ $\frac{s+7}{(s+1)(s+2)(s+4)} \\$ $\frac{(s+1)(s+2)}{(s+7)(s+4)}$
In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the following transfer functions has this root locus? ...
Milicevic3306
16.0k
points
111
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-3
continuous-time-signals
signals-and-systems
poles-and-zeros
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–
0
votes
0
answers
139
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
16.0k
points
111
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
140
GATE ECE 2012 | Question: 20
A system with transfer function $G(s)=\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$ is excited by $\sin(\omega t)$. The steady-state output of the system is zero at $\omega=1\:rad/s$ $\omega=2\:rad/s$ $\omega=3\:rad/s$ $\omega=4\:rad/s$
A system with transfer function$$G(s)=\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$$is excited by $\sin(\omega t)$. The steady-state output of the system is zero at$\omega=1\:rad...
Milicevic3306
16.0k
points
134
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2012-ec
network-solution-methods
transfer-function
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–
0
votes
0
answers
141
GATE ECE 2012 | Question: 41
The circuit shown is a low pass filter with $f_{3\:dB}=\frac{1}{(R_1+R_2)C}\: rad/s$ high pass filter with $f_{3\:dB}=\frac{1}{R_1C}\: rad/s$ low pass filter with $f_{3\:dB}=\frac{1}{R_1C}\: rad/s$ high pass filter with $f_{3\:dB}=\frac{1}{(R_1+R_2)C}\: rad/s$
The circuit shown is a low pass filter with $f_{3\:dB}=\frac{1}{(R_1+R_2)C}\: rad/s$high pass filter with $f_{3\:dB}=\frac{1}{R_1C}\: rad/s$low pass filter with $f_{3\:dB...
Milicevic3306
16.0k
points
134
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2012-ec
continuous-time-signals
digital-filter-design-techniques
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–
0
votes
0
answers
142
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
points
109
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
two-port-network
network-solution-methods
+
–
0
votes
0
answers
143
GATE ECE 2014 Set 4 | Question: 21
For the second order closed-loop system shown in the figure, the natural frequency (in rad/s) is $16$ $4$ $2$ $1$
For the second order closed-loop system shown in the figure, the natural frequency (in rad/s) is$16$$4$$2$$1$
Milicevic3306
16.0k
points
107
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
network-solution-methods
to-be-tagged
+
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0
votes
0
answers
144
GATE ECE 2013 | Question: 8
The impulse response of a system is $h(t) = tu(t).$ For an input $u(t − 1),$ the output is $\frac{t^{2}}{2}u(t)$ $\frac{t(t-1)}{2}u(t-1)$ $\frac{(t-1)^{2}}{2}u(t-1)$ $\frac{t^{2}-1}{2}u(t-1)$
The impulse response of a system is $h(t) = tu(t).$ For an input $u(t − 1),$ the output is$\frac{t^{2}}{2}u(t)$$\frac{t(t-1)}{2}u(t-1)$$\frac{(t-1)^{2}}{2}u(t-1)$$\frac...
Milicevic3306
16.0k
points
113
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2013-ec
continuous-time-signals
impulse-response
+
–
0
votes
0
answers
145
GATE ECE 2013 | Question: 33
The impulse response of a continuous time system is given by $h(t) = \delta(t-1) + \delta(t-3).$ The value of the step response at $t = 2$ is $0$ $1$ $2$ $3$
The impulse response of a continuous time system is given by $h(t) = \delta(t-1) + \delta(t-3).$ The value of the step response at $t = 2$ is $0$$1$$2$$3$
Milicevic3306
16.0k
points
110
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2013-ec
continuous-time-signals
impulse-response
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0
votes
0
answers
146
GATE ECE 2014 Set 4 | Question: 17
A Fourier transform pair is given by $\left ( \frac{2}{3} \right ) \: u[n+3] \overset{FT}{\Leftrightarrow} \frac{Ae^{-j6 \pi f}}{1- (\frac{2}{3} ) e^{-j2 \pi f}}$ where $u[n]$ denotes the unit step sequence. The values of $A$ is ____________
A Fourier transform pair is given by $$\left ( \frac{2}{3} \right ) \: u[n+3] \overset{FT}{\Leftrightarrow} \frac{Ae^{-j6 \pi f}}{1- (\frac{2}{3} ) e^{-j2 \pi f}}$$ where...
Milicevic3306
16.0k
points
103
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
+
–
0
votes
0
answers
147
GATE ECE 2013 | Question: 25
Let $g(t) = e^{-\pi t^{2}},$ and $h(t)$ is a filter matched to $g(t).$ If $g(t)$ is applied as input to $h(t),$ then the Fourier transformation of the output is $ e^{-\pi f^{2}}$ $ e^{-\pi f^{2}/ 2}$ $ e^{-\pi \mid f \mid }$ $ e^{-2\pi f^{2}}$
Let $g(t) = e^{-\pi t^{2}},$ and $h(t)$ is a filter matched to $g(t).$ If $g(t)$ is applied as input to $h(t),$ then the Fourier transformation of the output is$ e^{-\pi ...
Milicevic3306
16.0k
points
107
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2013-ec
continuous-time-signals
fourier-transform
+
–
0
votes
0
answers
148
GATE ECE 2014 Set 2 | Question: 33
In the magnetically coupled circuit shown in the figure, $56 \%$ of the total flux emanating from one coil links the other coil. The value of the mutual inductance (in H) is ____ .
In the magnetically coupled circuit shown in the figure, $56 \%$ of the total flux emanating from one coil links the other coil. The value of the mutual inductance (in H)...
Milicevic3306
16.0k
points
98
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-2
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
149
GATE ECE 2014 Set 4 | Question: 47
Consider a transfer function $G_p(s) = \frac{ps^2+3ps-2}{s^2+(3+p)s+(2-p)}$ with $p$ a positive real parameter. The maximum value of $p$ until which $G_p$ remains stable is ___________.
Consider a transfer function $G_p(s) = \frac{ps^2+3ps-2}{s^2+(3+p)s+(2-p)}$ with $p$ a positive real parameter. The maximum value of $p$ until which $G_p$ remains stable...
Milicevic3306
16.0k
points
97
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
150
GATE ECE 2014 Set 4 | Question: 43
A stable linear time variant (LTI) system has a transfer function $H(s) = \frac{1}{s^2+s-6}$. To make this system casual it needs to be cascaded with another LTI system having a transfer function $H_1(s)$. A correct choice for $H_1(s)$ among the following options is $s+3$ $s-2$ $s-6$ $s+1$
A stable linear time variant (LTI) system has a transfer function $H(s) = \frac{1}{s^2+s-6}$. To make this system casual it needs to be cascaded with another LTI system ...
Milicevic3306
16.0k
points
97
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
151
GATE ECE 2012 | Question: 48
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$ With $10\: V$ dc connected at ... $\frac{3}{7}\: A$ $\frac{5}{7}\: A$ $1\: A$ $\frac{9}{7}\: A$
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
16.0k
points
122
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2012-ec
two-port-network
network-solution-methods
+
–
0
votes
0
answers
152
GATE ECE 2014 Set 4 | Question: 45
The $N$-point DFT $X$ of a sequence $x[n]$, $0 \leq n \leq N-1$ is given by $X[k] = \frac{1}{\sqrt{N}} \Sigma_{n=0}^{N-1} x[n] e^{-j \frac{2\pi}{N}nk}, \: \: \: 0 \leq k \leq N-1.$ Denote this relation as $X=DFT(x)$. For ... $x = \begin{bmatrix} 1 & 3 & 2 & 2 \end{bmatrix}$ $x = \begin{bmatrix} 1 & 2 & 2 & 3 \end{bmatrix}$
The $N$-point DFT $X$ of a sequence $x[n]$, $0 \leq n \leq N-1$ is given by $$X[k] = \frac{1}{\sqrt{N}} \Sigma_{n=0}^{N-1} x[n] e^{-j \frac{2\pi}{N}nk}, \: \: \: 0 \leq k...
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
continuous-time-signals
discrete-fourier-transform
+
–
0
votes
0
answers
153
GATE ECE 2014 Set 2 | Question: 43
Consider a discrete-time signal $ x[n]= \begin{cases} n & \text{for } 0\leq n\leq 10 \\ 0 & \text{otherwise }\end{cases}$ If $y[n]$ is the convolution of $x[n]$ with itself, the value of $y[4]$ is _______ .
Consider a discrete-time signal $$ x[n]= \begin{cases} n & \text{for } 0\leq n\leq 10 \\ 0 & \text{otherwise }\end{cases}$$ If $y[n]$ is the convolution of $x[n]$ with it...
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-2
numerical-answers
continuous-time-signals
discrete-time-signals
+
–
0
votes
0
answers
154
GATE ECE 2014 Set 2 | Question: 21
For the following system, when $X_{1} (s) = 0$, the transfer function $\frac{Y(s)}{X_{2}(s)}$ is $\frac{s+1}{s^{2}}\\ $ $\frac{1}{s+1} \\$ $\frac{s+2}{s(s+1)} \\$ $\frac{s+1}{s(s+2)}$
For the following system, when $X_{1} (s) = 0$, the transfer function $\frac{Y(s)}{X_{2}(s)}$ is$\frac{s+1}{s^{2}}\\ $$\frac{1}{s+1} \\$$\frac{s+2}{s(s+1...
Milicevic3306
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95
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Milicevic3306
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Mar 26, 2018
Network Solution Methods
gate2014-ec-2
network-solution-methods
transfer-function
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–
0
votes
0
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155
GATE ECE 2014 Set 2 | Question: 18
Let $x[n] = x[-n]$. Let $X(z)$ be the $z$-transform of $x[n]$. If $0.5 + j 0.25$ is a zero of $X(z)$, which one of the following must also be a zero of $x(z)$ $0.5 – j 0.25$ $1/(0.5 + j 0.25)$ $1/(0.5 – j 0.25)$ $2+j 4$
Let $x[n] = x[-n]$. Let $X(z)$ be the $z$-transform of $x[n]$. If $0.5 + j 0.25$ is a zero of $X(z)$, which one of the following must also be a zero of $x(z)$$0.5 – j 0...
Milicevic3306
16.0k
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92
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Mar 26, 2018
Continuous-time Signals
gate2014-ec-2
continuous-time-signals
z-transform
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–
0
votes
0
answers
156
GATE ECE 2014 Set 3 | Question: 33
For the $Y$-network shown in the figure, the value of $R_{1}$ (in $\Omega$) in the equivalent $\Delta$-network is __________.
For the $Y$-network shown in the figure, the value of $R_{1}$ (in $\Omega$) in the equivalent $\Delta$-network is __________.
Milicevic3306
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91
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Mar 26, 2018
Network Solution Methods
gate2014-ec-3
numerical-answers
network-solution-methods
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–
0
votes
0
answers
157
GATE ECE 2014 Set 2 | Question: 31
In the h-parameter model of the $2$-port network given in the figure shown, the value of $h_{22}$ (in S) is ______ .
In the h-parameter model of the $2$-port network given in the figure shown, the value of $h_{22}$ (in S) is ______ .
Milicevic3306
16.0k
points
90
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Mar 26, 2018
Network Solution Methods
gate2014-ec-2
numerical-answers
two-port-network
network-solution-methods
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–
0
votes
0
answers
158
GATE ECE 2013 | Question: 3
Two systems with impulse responses $h_{1}(t)$ and $h_{2}(t)$ are connected in cascade. Then the overall impulse response of the cascaded system is given by product of $h_{1}(t)$ and $h_{2}(t)$ sum of $h_{1}(t)$ and $h_{2}(t)$ convolution of $h_{1}(t)$ and $h_{2}(t)$ subtraction of $h_{2}(t)$ from $h_{1}(t)$
Two systems with impulse responses $h_{1}(t)$ and $h_{2}(t)$ are connected in cascade. Then the overall impulse response of the cascaded system is given by product of $...
Milicevic3306
16.0k
points
95
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Mar 25, 2018
Continuous-time Signals
gate2013-ec
signals-and-systems
continuous-time-signals
impulse-response
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–
0
votes
0
answers
159
GATE ECE 2014 Set 1 | Question: 44
Consider a discrete time periodic signal $x[n] = \sin(\frac{\pi n}{s}).$ Let $a_{k}$ be the complex Fourier series coefficients of $x[n].$ The coefficients $\{a_{k}\}$ are non-zero when $k = Bm\: \pm 1,$ where $m$ is any integer. The value of $B$ is ______.
Consider a discrete time periodic signal $x[n] = \sin(\frac{\pi n}{s}).$ Let $a_{k}$ be the complex Fourier series coefficients of $x[n].$ The coefficients $\{a_{k}\}$ ar...
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16.0k
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89
views
Milicevic3306
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Mar 25, 2018
Continuous-time Signals
gate2014-ec-1
numerical-answers
discrete-time-signals
continuous-time-signals
+
–
0
votes
0
answers
160
GATE ECE 2014 Set 4 | Question: 44
A casual LTI system has zero initial conditions and impulse response $h(t)$. Its input $x(t)$ and output $y(t)$ are related through the linear constant-coefficient differential equation $\frac{d^2y(t)}{dt^2} + a \frac{dy(t)}{dt}+a^2y(t)=x(t).$ Let another ... $G(s)$ is the Laplace transform of $g(t)$, then the number of poles of $G(s)$ is _________.
A casual LTI system has zero initial conditions and impulse response $h(t)$. Its input $x(t)$ and output $y(t)$ are related through the linear constant-coefficient differ...
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16.0k
points
86
views
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Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
numerical-answers
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
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