GO Electronics
Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
New Blog
Blogs
Exams
Dark Mode
Filter
Recent
Hot!
Most votes
Most answers
Most views
Previous GATE
Featured
Most answered questions in Network Solution Methods
0
votes
0
answers
41
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 $\dfrac{11s+35}{(s-2)(s+4)} \\$ $\dfrac{11s-35}{(s-2)(s+4)} \\$ $\dfrac{11s+38}{(s-2)(s+4)} \\$ $\dfrac{11s-38}{(s-2)(s+4)}$
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
37
views
gate2015-ec-3
transfer-function
network-solution-methods
0
votes
0
answers
42
GATE ECE 2015 Set 3 | Question: 46
The position control of a DC servo-motor is given in the figure. The values of the parameters are $K_{T}=1 \: N-m/A, R_{a}=1\Omega, L_{a} = 0.1H,J=5kg-m^{2},B=1N-m/(rad/sec)$ and $K_{b} = 1V/(rad/sec) .$ The steady-state position response (in radians) due to unit impulse disturbance torque $T_{d}$ is _______.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
99
views
gate2015-ec-3
numerical-answers
network-solution-methods
steady-state
0
votes
0
answers
43
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 $\dfrac{a-b}{s} \\$ $\dfrac{e^{s}(a-b)}{s} \\$ $\dfrac{e^{-as}-e^{-bs}}{s} \\$ $\dfrac{e^{s(a-b)}}{s}$
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
86
views
gate2015-ec-2
network-solution-methods
laplace-transform
0
votes
0
answers
44
GATE ECE 2015 Set 2 | Question: 6
The voltage $(ܸV_{C})$ across the capacitor (in Volts) in the network shown is ______.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
32
views
gate2015-ec-2
numerical-answers
network-solution-methods
0
votes
0
answers
45
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 ________.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
72
views
gate2015-ec-2
numerical-answers
network-solution-methods
steady-state
0
votes
0
answers
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
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
82
views
gate2015-ec-2
network-solution-methods
laplace-transform
0
votes
0
answers
47
GATE ECE 2015 Set 2 | Question: 19
By performing cascading and/or summing/differencing operations using transfer function blocks $G_{1}(s )$ and $G_{2}(s),$ one CANNOT realize a transfer function of the form $G_{1}(s)G_{2}(s) \\$ $\dfrac{G_{1}(s)}{G_{2}(s)} \\$ $G_{1}(s)\left(\dfrac{1}{G_{1}(s)} + G_{2}(s)\right) \\$ $G_{1}(s)\left(\dfrac{1}{G_{1}(s)} - G_{2}(s)\right)$
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
143
views
gate2015-ec-2
network-solution-methods
transfer-function
0
votes
0
answers
48
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 ________.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
66
views
gate2015-ec-2
numerical-answers
network-solution-methods
transfer-function
0
votes
0
answers
49
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 __________.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
45
views
gate2015-ec-2
numerical-answers
network-solution-methods
sinusoidal
0
votes
0
answers
50
GATE ECE 2015 Set 2 | Question: 31
In the circuit shown, the Norton equivalent resistance $(\text{in}\: \Omega)$ across terminals $a-b$ is _______.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
50
views
gate2015-ec-2
numerical-answers
network-solution-methods
nortons
0
votes
0
answers
51
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 __________.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
63
views
gate2015-ec-2
numerical-answers
network-solution-methods
steady-state
0
votes
0
answers
52
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 ______.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
82
views
gate2015-ec-2
numerical-answers
network-solution-methods
laplace-transform
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 $\dfrac{2}{(s+2)(s+\sqrt{3})}$ $\dfrac{1}{s^{2}+2s+1}$ $\dfrac{3}{s^{2}+2s+3}$ $\dfrac{3}{s^{2}+2s+4}$
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
47
views
gate2015-ec-2
network-solution-methods
transfer-function
0
votes
0
answers
54
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 ________.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
83
views
gate2015-ec-2
numerical-answers
network-solution-methods
transfer-function
0
votes
0
answers
55
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 _________.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
43
views
gate2015-ec-2
numerical-answers
network-solution-methods
sinusoidal
0
votes
0
answers
56
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 ____________.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
48
views
gate2015-ec-1
numerical-answers
network-solution-methods
sinusoidal
0
votes
0
answers
57
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 __________.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
40
views
gate2015-ec-1
numerical-answers
network-solution-methods
0
votes
0
answers
58
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 $\frac{1}{2 \pi} \\$ $\frac{1}{\pi} \\$ $\frac{2}{\pi} \\$ $\pi$
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
37
views
gate2015-ec-1
network-solution-methods
sinusoidal
0
votes
0
answers
59
GATE ECE 2015 Set 1 | Question: 30
The damping ratio of a series RLC circuit can be expressed as $\frac{R^2C}{2L} \\$ $\frac{2L}{R^2C} \\$ $\frac{R}{2} \sqrt{\frac{C}{L}} \\$ $\frac{2}{R} \sqrt{\frac{L}{C}}$
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
56
views
gate2015-ec-1
network-solution-methods
rlc-circuits
0
votes
0
answers
60
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 ________.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
70
views
gate2015-ec-1
numerical-answers
network-solution-methods
maximum-power-transfer
0
votes
0
answers
61
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 $2,3 \\$ $\frac{1}{2},3 \\$ $\frac{1}{2}, \frac{1}{3} \\$ $2, \frac{1}{3}$
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
41
views
gate2015-ec-1
network-solution-methods
transfer-function
0
votes
0
answers
62
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 _________.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
31
views
gate2015-ec-1
numerical-answers
network-solution-methods
diodes
transfer-function
0
votes
0
answers
63
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 ___________.
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
44
views
gate2015-ec-1
numerical-answers
network-solution-methods
transfer-function
0
votes
0
answers
64
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 $K_p>\frac{K_1}{2}>0 \\$ $2K_1>K_p>0 \\$ $2K_1<K_p \\$ $2K_1>K_p$
Milicevic3306
asked
in
Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
65
views
gate2015-ec-1
network-solution-methods
transfer-function
0
votes
0
answers
65
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 $16$ $4$ $2$ $1$
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
51
views
gate2014-ec-4
network-solution-methods
to-be-tagged
0
votes
0
answers
66
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 $g(t) = t \cdot f(t)$? $\frac{-s}{(s^2+s+1)^2}$ $\frac{-(2s+1)}{(s^2+s+1)^2}$ $\frac{s}{(s^2+s+1)^2}$ $\frac{2s+1}{(s^2+s+1)^2}$
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
60
views
gate2014-ec-4
network-solution-methods
laplace-transform
0
votes
0
answers
67
GATE ECE 2014 Set 4 | Question: 30
The steady state output of the circuit shown in the figure is given by $y(t)=A(\omega) \sin (\omega t + \phi ( \omega))$. If the amplitude $\mid A (\omega ) \mid =0.25$, then the frequency $\omega$ is $\frac{1}{\sqrt{3} \: R \: C}$ $\frac{2}{\sqrt{3} \: R \: C}$ $\frac{1}{R \: C}$ $\frac{2}{R \: C}$
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
44
views
gate2014-ec-4
network-solution-methods
steady-state
0
votes
0
answers
68
GATE ECE 2014 Set 4 | Question: 31
In the circuit shown in the figure, the value of $v_0(t)$ (in Volts) for $t \to \infty$ is ___________
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
29
views
gate2014-ec-4
numerical-answers
network-solution-methods
0
votes
0
answers
69
GATE ECE 2014 Set 4 | Question: 32
The equivalent resistance in the infinite ladder network shown in the figure, is $R_e$. The value of $R_e/R$ is __________
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
33
views
gate2014-ec-4
numerical-answers
network-solution-methods
ladder-network
0
votes
0
answers
70
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 ___________.
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
40
views
gate2014-ec-4
numerical-answers
network-solution-methods
transfer-function
0
votes
0
answers
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 ________.
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
55
views
gate2014-ec-4
numerical-answers
network-solution-methods
transfer-function
0
votes
0
answers
72
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 $a$ $a^{*}$ $1/a^{*}$ $1/a$
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
71
views
gate2014-ec-3
continuous-time-signals
0
votes
0
answers
73
GATE ECE 2014 Set 3 | Question: 20
Consider the following block diagram in the figure. The transfer function $\frac{C(s)}{R(s)}$ is $\frac{G_{1}G_{2}}{1+G_{1}G_{2}}$ $G_{1}G_{2}+G_{1}+1$ $G_{1}G_{2}+G_{2}+1$ $\frac{G_{1}}{1+G_{1}G_{2}}$
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
83
views
gate2014-ec-3
network-solution-methods
transfer-function
0
votes
0
answers
74
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 _______.
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
46
views
gate2014-ec-3
numerical-answers
network-solution-methods
transfer-function
0
votes
0
answers
75
GATE ECE 2014 Set 3 | Question: 30
Consider the building block called ‘Network N’ shown in the figure. Let $C= 100\mu F$ and $R= 10 k \Omega.$ Two such blocks are connected in cascade, as shown in the figure. The transfer function $\frac{V_{3}(s)}{V_{1}(s)}$ of the cascaded network is $\frac{s}{1+s} \\$ $\frac{s^{2}}{1+3s+s^{2}} \\$ $\left ( \frac{s}{1+s} \right )^{2} \\$ $\frac{s}{2+s}$
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
79
views
gate2014-ec-3
network-solution-methods
transfer-function
0
votes
0
answers
76
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 __________.
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
37
views
gate2014-ec-3
numerical-answers
network-solution-methods
0
votes
0
answers
77
GATE ECE 2014 Set 3 | Question: 44
Let $h(t)$ denote the impulse response of a causal system with transfer function $\frac{1}{s+1}.$ Consider the following three statements. $S1$: The system is stable. $S2$: $\frac{h(t+1)}{h(t)}$ is independent of $t$ for $t > 0$. $S3$: A non-causal ... $S1$ and $S2$ are true only $S2$ and $S3$ are true only $S1$ and $S3$ are true $S1$, $S2$ and $S3$ are true
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
31
views
gate2014-ec-3
network-solution-methods
transfer-function
0
votes
0
answers
78
GATE ECE 2014 Set 3 | Question: 46
The steady state error of the system shown in the figure for a unit step input is _________.
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
62
views
gate2014-ec-3
numerical-answers
network-solution-methods
steady-state
0
votes
0
answers
79
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
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
63
views
gate2014-ec-2
network-solution-methods
nortons
0
votes
0
answers
80
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}}\\ $ $\frac{1}{s+1} \\$ $\frac{s+2}{s(s+1)} \\$ $\frac{s+1}{s(s+2)}$
Milicevic3306
asked
in
Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
42
views
gate2014-ec-2
network-solution-methods
transfer-function
Page:
« prev
1
2
3
next »
Top Users
Jan 2023
Lakshman Patel RJIT
2410 Points
Welcome to GO Electronics, where you can ask questions and receive answers from other members of the community.