Homework Answers
Add Answer to:
The Bode diagram below relates the input u(t) to the output y(t): Bode Diagram 20 2...
A bode plot of the transfer function, GS = - 25 $2+45+25, is shown as below....
A bode plot of the transfer function, GS = - 25 $2+45+25, is shown as below. Bode Diagram System sys Frequency (rad/s): 7 Magnitude (dB): -3.4 Magnitude (dB) Phase (deg) Systemt sys Frequency (rad/s): 7 Phase (deg): - 130 - 135 - 180 10 Frequency (rad/s) Determine the frequency response y(t) when a sinusoidal function, X(t) = 10 sin (7t +30) is applied to the transfer function as an input signal. (20 points)
In a continuous-time system, the laplace transform of the input X(s) and the output Y(s) are...
In a continuous-time system, the laplace transform of the input X(s) and the output Y(s) are related by Y(s) = 2 (s+2)2 +10 a) If x(t) = u(t), find the zero-state response of the system, yzs(1). yzs() = b) Find the zero-input response of the system, yzi(t). Yzi(t) = c) Find the steady-state solution of the system, yss(t). Yss(t) =
3) Given x1 = x2 with kER, find the forced output response y(t) and steady state...
3) Given x1 = x2 with kER, find the forced output response y(t) and steady state output response yss(t) to an input u(t) = 1 + sint and find values of k E R such that ly(t) - a 0.05 for allt 10-2sec. yss
5. [20 marks Consider the RC series circuit shown in Fig. 3. Determine the overall output...
5. [20 marks Consider the RC series circuit shown in Fig. 3. Determine the overall output y(t). Determine the steady state output, yss(t), of the circuit if the input signal is given by r(t) = sin (3t) u(t) x(t) = sin(31) C = 0.5 μF Figure 3: RC series circuit for Q5
Problem 4: (30) From the given Bode magnitude diagram, (a) Construct the transfer function G(s). 1), find the steady-state response y (b) If input utos(0.l ) The slope of 20logolG jo) at ω < 0.-th...
Problem 4: (30) From the given Bode magnitude diagram, (a) Construct the transfer function G(s). 1), find the steady-state response y (b) If input utos(0.l ) The slope of 20logolG jo) at ω < 0.-the slope of 2010giolG jo) at 0.1 < ω < I The slope of 201°golG jo) at ω > 4000-the slope of 2010giolGUo) at 400 < ω < 4000 20log1G(jo) -40 60 80 10 10' 4 10 40 10 400 10 4000 10 w(rad/sec)
Problem 4:...
B Frequency Response Modeling Frequency response modeling of a linear system is based on the prem...
Please explain every step as clearly and detailed as
possible.
B Frequency Response Modeling Frequency response modeling of a linear system is based on the premise that the dynamics of a linear system can be recovered from a knowledge of how the system responds to sinusoidal inputs. (This will be made mathematically precise in Theorem 13.) In other words, to determine (or iden- tify) a linear system, all one has to do is observe how the system reacts to sinusoidal...
5- For the following system: x( Input: x(t)s u(t) Output: y() With the initial condition y(0) 1...
5- For the following system: x( Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F, C2-1F. Identify the natural and forced response of the system a) Find the zero input response. b) Unit impulse response. c) zero state response. d) The total response. e Identify the natural and forced response of the system.
5- For the following system: x(
Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F,...
g) The Bode magnitude plot of a system is given below (note gains are in dB...
g) The Bode magnitude plot of a system is given below (note gains are in dB scale). What are the five (approximate) amplitudes of the sinusoidal outputs if the inputs are u(t) = sin(w t) (i.e. input amplitude is 1) where w are respectively: i) 0.1 rad/s; ii) 2.1 rad/s; iii) 3 rad/s; iv) 4.3 rad/s; v) 10 rad/s. Magnitude gain - dB 10 100 Frequency - [rad/s]
Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t...
Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t) frequency response formula.) (9%) (Easy) 3cos (0.5t-0.5). (Hint: use the
Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t) frequency response formula.) (9%)...
yce) Figure 1: Time-domain block diagram, with input u(t) and output y(t). For the block diagram...
yce) Figure 1: Time-domain block diagram, with input u(t) and output y(t). For the block diagram shown in Figure find the system transfer function Y (s)/U(s).
A bode plot of the transfer function, GS = - 25 $2+45+25, is shown as below. Bode Diagram System sys Frequency (rad/s): 7 Magnitude (dB): -3.4 Magnitude (dB) Phase (deg) Systemt sys Frequency (rad/s): 7 Phase (deg): - 130 - 135 - 180 10 Frequency (rad/s) Determine the frequency response y(t) when a sinusoidal function, X(t) = 10 sin (7t +30) is applied to the transfer function as an input signal. (20 points)
In a continuous-time system, the laplace transform of the input X(s) and the output Y(s) are related by Y(s) = 2 (s+2)2 +10 a) If x(t) = u(t), find the zero-state response of the system, yzs(1). yzs() = b) Find the zero-input response of the system, yzi(t). Yzi(t) = c) Find the steady-state solution of the system, yss(t). Yss(t) =
3) Given x1 = x2 with kER, find the forced output response y(t) and steady state output response yss(t) to an input u(t) = 1 + sint and find values of k E R such that ly(t) - a 0.05 for allt 10-2sec. yss
5. [20 marks Consider the RC series circuit shown in Fig. 3. Determine the overall output y(t). Determine the steady state output, yss(t), of the circuit if the input signal is given by r(t) = sin (3t) u(t) x(t) = sin(31) C = 0.5 μF Figure 3: RC series circuit for Q5
Problem 4: (30) From the given Bode magnitude diagram, (a) Construct the transfer function G(s). 1), find the steady-state response y (b) If input utos(0.l ) The slope of 20logolG jo) at ω < 0.-the slope of 2010giolG jo) at 0.1 < ω < I The slope of 201°golG jo) at ω > 4000-the slope of 2010giolGUo) at 400 < ω < 4000 20log1G(jo) -40 60 80 10 10' 4 10 40 10 400 10 4000 10 w(rad/sec)
Problem 4:...
Please explain every step as clearly and detailed as
possible.
B Frequency Response Modeling Frequency response modeling of a linear system is based on the premise that the dynamics of a linear system can be recovered from a knowledge of how the system responds to sinusoidal inputs. (This will be made mathematically precise in Theorem 13.) In other words, to determine (or iden- tify) a linear system, all one has to do is observe how the system reacts to sinusoidal...
5- For the following system: x( Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F, C2-1F. Identify the natural and forced response of the system a) Find the zero input response. b) Unit impulse response. c) zero state response. d) The total response. e Identify the natural and forced response of the system.
5- For the following system: x(
Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F,...
g) The Bode magnitude plot of a system is given below (note gains are in dB scale). What are the five (approximate) amplitudes of the sinusoidal outputs if the inputs are u(t) = sin(w t) (i.e. input amplitude is 1) where w are respectively: i) 0.1 rad/s; ii) 2.1 rad/s; iii) 3 rad/s; iv) 4.3 rad/s; v) 10 rad/s. Magnitude gain - dB 10 100 Frequency - [rad/s]
Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t) frequency response formula.) (9%) (Easy) 3cos (0.5t-0.5). (Hint: use the
Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t) frequency response formula.) (9%)...
yce) Figure 1: Time-domain block diagram, with input u(t) and output y(t). For the block diagram shown in Figure find the system transfer function Y (s)/U(s).
Most questions answered within 3 hours.
-
A 0.035 mol sample of a weak acid, HA, is dissolved in 437 mL of
water...
asked 11 seconds ago -
a sample of Ar gas has a volume of 6.30 L with an unknown
pressure. the...
asked 53 seconds ago -
The
serum cholesterol levels of a population of kids follow a normal
distribution with mean 155...
asked 20 minutes ago -
han discusses the racist practice of badlands, a bar
in the Castro
district of San Francisco,...
asked 32 minutes ago -
A sample of final exam scores is normally distributed with a
mean equal to 25 and...
asked 36 minutes ago -
An investor shorts 100 shares of a stock when the share price is
$50 and closes...
asked 40 minutes ago -
LLOP corporation just paid 4$ dividend per share, you expect the
dividend to grow 8% for...
asked 49 minutes ago -
if we subtract 1000 from 0001 is there overflow? (binary)
asked 57 minutes ago -
Hello, I need help with the function below, The language I am
using is Ocaml
open...
asked 59 minutes ago -
Explain how the presence of glucose represses the gal structural
genes?
asked 1 hour ago -
For the reaction CaI2+2AgNO3⟶2AgI+Ca(NO3)2 how many grams of
silver iodide, AgI, are produced from 56.5 g...
asked 1 hour ago -
Write an equation for hydrolysis via acid catalysis.
Using ethyl acetate, ethyl benzoate, ethyl formate or...
asked 1 hour ago