Homework Answers
We can design the required circuit using a differentiator, an inverter and properly choosing the resistance and capacitance values as shown. Thank You
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Problem B: Given the following non-homogenous differential equation, build a circuit using a minimum number of...
B. The following is used for the assessment of SO e (An ability to identify, formulate, and solve engineering problems): Problem: Given the following non-homogenous differential equation, build a...
B. The following is used for the assessment of SO e (An ability to identify, formulate, and solve engineering problems): Problem: Given the following non-homogenous differential equation, build a circuit using a minimum number of operational amplifiers to simulate the forced response: Show all design details, and also label the outputs of the operational amplifiers.
B. The following is used for the assessment of SO e (An ability to identify, formulate, and solve engineering problems): Problem: Given the following non-homogenous...
Problem 3: Insights into Differential Equations a. Consider the differential equation 습 +4 = f(t), where...
Problem 3: Insights into Differential Equations a. Consider the differential equation 습 +4 = f(t), where f(t) = e-u, 12 0. Please write the forms of the natural and forced solution for this differential equation. You DO NOT need to solve. (7 points) b. Again consider the differential equation f(t), where f(t) is an input and y(t) is the output (response) of interest. Please write the differential equation in state-space form. (10 points) c. The classical method for solving differential...
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%)...
Problem 3 (8 points) (a)Find the natural response and the COMPLEX forced response (2 points). (b) And then write the general REAL solution of the given differential equation (2 points). (c)Rewrit...
Problem 3 (8 points) (a)Find the natural response and the COMPLEX forced response (2 points). (b) And then write the general REAL solution of the given differential equation (2 points). (c)Rewrite the forced response in POLAR form and sketch it on (y, t) AND on the PHASE (v, y) plane (3 points). (d) Sketch the solution of the INITIAL VALUE Problem y(0) 0, y (0) 0 using your sketches on both planes in part (c) (1 point) Use COMPLEX numbers!...
fill in the blank. Calc 2 Part a and b Consider the following differential equation by"...
fill in the blank. Calc 2 Part a and b
Consider the following differential equation by" + 3y - 3y = 0 Exercise (a) satisfy the equation? For what values of r does the function y = e Step 1 in the To determine the values of r for which er satisfies the differential equation, we substitute f(x) = e equation, 67"(x) + 3f'(x) - 3f(x) = 0. Thus, we need to find f'(x) and "(x). f'(X) = Click here...
Consider the linear system given by the following differential equation y(4) + 3y(3) + 2y +...
Consider the linear system given by the following differential equation y(4) + 3y(3) + 2y + 3y + 2y = ů – u where u = r(t) is the input and y is the output. Do not use MATLAB! a) Find the transfer function of the system (assume zero initial conditions)? b) Is this system stable? Show your work to justify your claim. Note: y(4) is the fourth derivative of y. Hint: Use the Routh-Hurwitz stability criterion! c) Write the...
For the given RC circuit shown below, ys the output, and ut) is the input. Values of the components are marked on schematic i) Derive the system differential equation and transfer function Y(s)/U(s)...
For the given RC circuit shown below, ys the output, and ut) is the input. Values of the components are marked on schematic i) Derive the system differential equation and transfer function Y(s)/U(s) ii) Choose voltage across capacitors as states and derive the state equations and state matrices (A, B, C,and D). iii) Validate the states by deriving the transfer function from state matrices. iv) Choose a different set of states and derive a different state equation and state Matrix...
3. Consider the Linear Time-Invariant (LTI) system decribed by the following differential equation: dy +504 +...
3. Consider the Linear Time-Invariant (LTI) system decribed by the following differential equation: dy +504 + 4y = u(t) dt dt where y(t) is the output of the system and u(t) is the input. This is an Initial Value Problem (IVP) with initial conditions y(0) = 0, y = 0. Also by setting u(t) = (t) an input 8(t) is given to the system, where 8(t) is the unit impulse function. a. Write a function F(s) for a function f(t)...
Yes, this is one problem. Please solve ALL PARTS. Guaranteed thumbs up for the person who solves it. 3 1. Photodiode...
Yes, this is one problem. Please solve ALL PARTS. Guaranteed
thumbs up for the person who solves it.
3 1. Photodiode amplifier circuit You are designinga CF photosensor circuit for a light detection and ranging LiDAR) system in autonomous vehicles. The circuit utilizes a transimpedance amplifier to convert low-level RF photodiode current signal to a usable voltage output. It consists of a photodiode, an amplifier, and feedback capacitor/resistor pair as shown in Figure 1. We will derive simple equations to...
Vout should be a sinusoid signal of 12Vp-p Dc voltage to uA741 : +/-8.5V Please simulate...
Vout should be a sinusoid signal of 12Vp-p
Dc voltage to uA741 : +/-8.5V
Please simulate as well
please help, im completely lost on this
this is all of the information
Experiment 5. RC Sinusoidal Oscillators PURPOSE: This laboratory provides an introduction to the background, analysis and design of sinusoidal oscillators using RC feedback networks and active devices to achieve the criteria for continuous oscillations to occur. EQUIPMENT REQUIRED : 1 Operational amplifier u.A741 1 CEU development station Resistors and...
B. The following is used for the assessment of SO e (An ability to identify, formulate, and solve engineering problems): Problem: Given the following non-homogenous differential equation, build a circuit using a minimum number of operational amplifiers to simulate the forced response: Show all design details, and also label the outputs of the operational amplifiers.
B. The following is used for the assessment of SO e (An ability to identify, formulate, and solve engineering problems): Problem: Given the following non-homogenous...
Problem 3: Insights into Differential Equations a. Consider the differential equation 습 +4 = f(t), where f(t) = e-u, 12 0. Please write the forms of the natural and forced solution for this differential equation. You DO NOT need to solve. (7 points) b. Again consider the differential equation f(t), where f(t) is an input and y(t) is the output (response) of interest. Please write the differential equation in state-space form. (10 points) c. The classical method for solving differential...
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%)...
Problem 3 (8 points) (a)Find the natural response and the COMPLEX forced response (2 points). (b) And then write the general REAL solution of the given differential equation (2 points). (c)Rewrite the forced response in POLAR form and sketch it on (y, t) AND on the PHASE (v, y) plane (3 points). (d) Sketch the solution of the INITIAL VALUE Problem y(0) 0, y (0) 0 using your sketches on both planes in part (c) (1 point) Use COMPLEX numbers!...
fill in the blank. Calc 2 Part a and b
Consider the following differential equation by" + 3y - 3y = 0 Exercise (a) satisfy the equation? For what values of r does the function y = e Step 1 in the To determine the values of r for which er satisfies the differential equation, we substitute f(x) = e equation, 67"(x) + 3f'(x) - 3f(x) = 0. Thus, we need to find f'(x) and "(x). f'(X) = Click here...
Consider the linear system given by the following differential equation y(4) + 3y(3) + 2y + 3y + 2y = ů – u where u = r(t) is the input and y is the output. Do not use MATLAB! a) Find the transfer function of the system (assume zero initial conditions)? b) Is this system stable? Show your work to justify your claim. Note: y(4) is the fourth derivative of y. Hint: Use the Routh-Hurwitz stability criterion! c) Write the...
For the given RC circuit shown below, ys the output, and ut) is the input. Values of the components are marked on schematic i) Derive the system differential equation and transfer function Y(s)/U(s) ii) Choose voltage across capacitors as states and derive the state equations and state matrices (A, B, C,and D). iii) Validate the states by deriving the transfer function from state matrices. iv) Choose a different set of states and derive a different state equation and state Matrix...
3. Consider the Linear Time-Invariant (LTI) system decribed by the following differential equation: dy +504 + 4y = u(t) dt dt where y(t) is the output of the system and u(t) is the input. This is an Initial Value Problem (IVP) with initial conditions y(0) = 0, y = 0. Also by setting u(t) = (t) an input 8(t) is given to the system, where 8(t) is the unit impulse function. a. Write a function F(s) for a function f(t)...
Yes, this is one problem. Please solve ALL PARTS. Guaranteed
thumbs up for the person who solves it.
3 1. Photodiode amplifier circuit You are designinga CF photosensor circuit for a light detection and ranging LiDAR) system in autonomous vehicles. The circuit utilizes a transimpedance amplifier to convert low-level RF photodiode current signal to a usable voltage output. It consists of a photodiode, an amplifier, and feedback capacitor/resistor pair as shown in Figure 1. We will derive simple equations to...
Vout should be a sinusoid signal of 12Vp-p
Dc voltage to uA741 : +/-8.5V
Please simulate as well
please help, im completely lost on this
this is all of the information
Experiment 5. RC Sinusoidal Oscillators PURPOSE: This laboratory provides an introduction to the background, analysis and design of sinusoidal oscillators using RC feedback networks and active devices to achieve the criteria for continuous oscillations to occur. EQUIPMENT REQUIRED : 1 Operational amplifier u.A741 1 CEU development station Resistors and...
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