Please show derivation for converting from the g(s) (s-space) expression to the |g(f)| (frequency response) expression.
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Please show derivation for converting from the g(s) (s-space) expression to the |g(f)| (frequency response) expression....
(2) Fig. 2 shows a Salen-Key second-order lowpass filter, where: Derive an expression for the tra...
(2) Fig. 2 shows a Salen-Key second-order lowpass filter, where: Derive an expression for the transfer function in terms of the circuit components. Then design the filter for a dc gain K of 2, fo of 5 khz and a quality factor Q of 5. Record and plot your frequency response, and compare your plot with SPICE. Make sure to model the op-amp appropriately, so that it lends itself to SPICE simulations Hint K = 1 + R2/R1, wo =...
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...
Consider the transfer function of a DC motor given by G(s) = 1 / s(s+2) 3. Consider the transfer function of a DC motor...
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
Problem 24: (18 points) 1. (6 points) Figure 2 shows an RC circuit with input f(t)...
Problem 24: (18 points) 1. (6 points) Figure 2 shows an RC circuit with input f(t) and output y(t) Function Generator R, v, (r) y1) Figure 2: RC circuit. (a) (1 point) Sketch the circuit in the phasor domain by replacing the capacitor with its impedance represen- (b) (3 points) Using circuit analysis techniques, show that the frequency response function is Specify the DC gain, K, and the time constant, T, in terms of the parameters R, R, and C...
Prelab 10.1: Active lowpass filter Given the circuit shown in Figure 10.1 with Ri-R2-Rs-R4-R-1.0 [k2, and...
Prelab 10.1: Active lowpass filter Given the circuit shown in Figure 10.1 with Ri-R2-Rs-R4-R-1.0 [k2, and C 0.1 [uF (a) Represent the circuit in state-space form given by i(t) = ar(t) + bu(t), i.e., find the values of parameters a, b, c, and d. (b) Find the expression for the transfer function, G(s) the complex frequency (Laplace) domain. (c) Find the expression of the frequency transfer function H(f) and the value of the half power frequency, fB in Hz (d)...
Prelab Answer the following questions 1. What is the unit-step response of a system with trans fer function G(s)- ST +1 where and τ are constants > 0? 2. Make a hand-sketch of the response of the...
Prelab Answer the following questions 1. What is the unit-step response of a system with trans fer function G(s)- ST +1 where and τ are constants > 0? 2. Make a hand-sketch of the response of the unit-step response of the system in Part 1 3. What is the value of the step response of the system in Part 1 when t? 4. Find or derive the expression for the transfer function from voltage to angular speed of an unloaded...
Please Help. This is a PSPICE Simulation problem. Thanks. Equipment For the laboratory experimentation, the standard...
Please Help. This is a PSPICE Simulation problem. Thanks.
Equipment For the laboratory experimentation, the standard laboratory equipment (function generator, oscilloscope, multimeter) will be used along with a capacitor (0.027 μF), an inductor (10 mH for the series RLC circuit and 1 mH for the parallel RLC circuit), and a resistor (to be determined in your prelab work) Lab 4 PSPICE Simulation: Using the circuit parameter values given in the prelab, model the circuits given in Fig. 1 using PSPICE....
For each of the transfer functions given below, draw the pole-zero plot and plot the magnitude separate from the phase as a function of frequency. Show only the asymptotic terms that make up the tra...
For each of the transfer functions given below, draw the pole-zero plot and plot the magnitude separate from the phase as a function of frequency. Show only the asymptotic terms that make up the transfer function and then add them to show the composite plot. You can verify your plots (to some extent) by using MATLAB to generate the plots but only as a check that the work you have done is correct. The work that will count for points...
PLEASE SOLVE QUESTION NUMBER 2 ONLY, MAKE SURE ALL PARTS IN QUESTION 2 ARE SOLVED. THANK...
PLEASE SOLVE QUESTION NUMBER 2 ONLY, MAKE SURE ALL PARTS IN
QUESTION 2 ARE SOLVED. THANK YOU
poirmts) l'igure output y ws an RG circuit with inpu Function Generator Model Capacitor Model i,(t) Figure 2: RC cireuit (a) (1 point) Sketch the circuit in the phasor domain by replacing the capacitor with its impedance represen- tation (b) (3 points) Using circuit analysis techniques, show that the frequency response function is F(u) UT 1 Specify the DC gain, K, and time...
A classic second order system has transfer function the undamped natural frequency to be 10 rad/s throughout this exercise. Note, for the following MATLAB simulations you need to use format long defi...
A classic second order system has transfer function
the undamped natural frequency to be 10 rad/s throughout this
exercise. Note, for the following MATLAB simulations you need to
use format long defined at the top of the program to get full
precision.
a) Use MATLAB to plot the step response for three damping
factors of ζ =0.5,1 and 1.5 respectively. step(g,tfinal)_ where
tfinal is the max time you need to make it 2 secs and g is the
b) Takeζ...
(2) Fig. 2 shows a Salen-Key second-order lowpass filter, where: Derive an expression for the transfer function in terms of the circuit components. Then design the filter for a dc gain K of 2, fo of 5 khz and a quality factor Q of 5. Record and plot your frequency response, and compare your plot with SPICE. Make sure to model the op-amp appropriately, so that it lends itself to SPICE simulations Hint K = 1 + R2/R1, wo =...
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...
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
Problem 24: (18 points) 1. (6 points) Figure 2 shows an RC circuit with input f(t) and output y(t) Function Generator R, v, (r) y1) Figure 2: RC circuit. (a) (1 point) Sketch the circuit in the phasor domain by replacing the capacitor with its impedance represen- (b) (3 points) Using circuit analysis techniques, show that the frequency response function is Specify the DC gain, K, and the time constant, T, in terms of the parameters R, R, and C...
Prelab 10.1: Active lowpass filter Given the circuit shown in Figure 10.1 with Ri-R2-Rs-R4-R-1.0 [k2, and C 0.1 [uF (a) Represent the circuit in state-space form given by i(t) = ar(t) + bu(t), i.e., find the values of parameters a, b, c, and d. (b) Find the expression for the transfer function, G(s) the complex frequency (Laplace) domain. (c) Find the expression of the frequency transfer function H(f) and the value of the half power frequency, fB in Hz (d)...
Prelab Answer the following questions 1. What is the unit-step response of a system with trans fer function G(s)- ST +1 where and τ are constants > 0? 2. Make a hand-sketch of the response of the unit-step response of the system in Part 1 3. What is the value of the step response of the system in Part 1 when t? 4. Find or derive the expression for the transfer function from voltage to angular speed of an unloaded...
Please Help. This is a PSPICE Simulation problem. Thanks.
Equipment For the laboratory experimentation, the standard laboratory equipment (function generator, oscilloscope, multimeter) will be used along with a capacitor (0.027 μF), an inductor (10 mH for the series RLC circuit and 1 mH for the parallel RLC circuit), and a resistor (to be determined in your prelab work) Lab 4 PSPICE Simulation: Using the circuit parameter values given in the prelab, model the circuits given in Fig. 1 using PSPICE....
For each of the transfer functions given below, draw the pole-zero plot and plot the magnitude separate from the phase as a function of frequency. Show only the asymptotic terms that make up the transfer function and then add them to show the composite plot. You can verify your plots (to some extent) by using MATLAB to generate the plots but only as a check that the work you have done is correct. The work that will count for points...
PLEASE SOLVE QUESTION NUMBER 2 ONLY, MAKE SURE ALL PARTS IN
QUESTION 2 ARE SOLVED. THANK YOU
poirmts) l'igure output y ws an RG circuit with inpu Function Generator Model Capacitor Model i,(t) Figure 2: RC cireuit (a) (1 point) Sketch the circuit in the phasor domain by replacing the capacitor with its impedance represen- tation (b) (3 points) Using circuit analysis techniques, show that the frequency response function is F(u) UT 1 Specify the DC gain, K, and time...
A classic second order system has transfer function
the undamped natural frequency to be 10 rad/s throughout this
exercise. Note, for the following MATLAB simulations you need to
use format long defined at the top of the program to get full
precision.
a) Use MATLAB to plot the step response for three damping
factors of ζ =0.5,1 and 1.5 respectively. step(g,tfinal)_ where
tfinal is the max time you need to make it 2 secs and g is the
b) Takeζ...
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