Find the step response of each of the following transfer functions shown in the equations below, place them in one plot: 24.452 G(s) a. s²+4s+24.542 24.452 b. G(s) = (s+10)(s²+4s+24.542) 24.452 G(s) = С. (s+3)(s²+4s+24.542)
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Find the step response of each of the following transfer functions shown in the equations below, place them in one
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- 4) F(s) = s-4s Ans. f(t) sinh(2r)-2t 1 5) F(s) = Ans. f(1) = (e" -1-21 – 21 )/ 8 -2.s 1 6) F(s): Ans. f(1) =1+t- cos(t)-sin(t)This homework deals with applications of concepts related to the Bilateral Laplace Transform, or otherwise known as the BLT 1. For the circuit shown, the voltage source x(t) is the input and the current y(t) y(t) is the output. Write the differential equation of the cireuit relating the input L and the output without assigning x(t) numerical values to the eireuit elements 2. Use the differential equation developed in Prob. 1 to obtain the transfer function H(s) of the system (circuit) 3. Assume now for simplicity that the circuit elements have the unrealistic values of 10 1H, and 1F. Draw the pole-zero plot of the transfer function of the system using these component values. 4. Use graphical methods to evaluate and plot the magnitude of the transfer function H(j@) as a function of o. Show five separate pole-zero plots and the associated vectors. One plot will be done with o=0 rps, the next one with o=0.5 rps , the next one with o-1rps, the next one with -5 rps , and the last one with…What is the steady-state error to a unit-step input R(s) == for the system below? R(s) + 6 C(s) s+3 Select one: O a. ess = lim (r(t)- c(t)) 1-x 2 O b. e.. = lim (r(t) - c(t)) = 0 1-x 1 OC. Ess = lim (r(t)- c(t)) = 3 t-00 O d. ess = lim (r(t)- c(t)) = ∞ 14x
- For the electrical circuit given below. (L1-5H. C1-C2-0.1F, R1-10 ohm) LI Vi :C1 R1 www C2 Vo a. Write the differential equations. b. Determine the transfer function in s-domain. do it on paper with neat hand writing, no chat GPT, otherwise leave a DOWNVOTEDetermine the transfer function, of the differential equation presented below. Write your complete solution Y() X(s) on the space provided and box your final answer (6-points). d³y dt d2y +3 dy dt+5+y= d³x d²x d+4. dr² dx +6 +8 dtFind the steady-state oscillations of y" + cy' + y = r(t) with c > 0 and r(t) as given. Note that the spring constant is k = 1. Show the details. In Probs. 14–16 sketch r(t). 16. r(t) = t if -1/2Please adhere to the following instructions Turn in the assignment on time, you have one week from the day the assignment is given. • Provide solutions to problems in the order assigned Problem 1: Classify the following signals as energy or power signals, and find the normalized energy or normalized power of each: d. exp(j2nt) over (-∞Question # 2: For each of the transfer functions below, find the values of the damping coefficient and the natural frequency on, and then characterize the nature of the response. a. G(s) b. G(s) c. G(s) d. G(s) = 400 s² + 12s + 400 900 S² +90s + 900 225 S² +30s +225 625 S²2+625QUESTION & ANSWER K(S+2) 1) Find the angle of asymptotes for the given openloop transfer function G(S) (S² +2S+2)A signal h(n) is given. Now convolute this signal in matlab when x(n) = h(n)Solve the following problems: Given the Pole-Zero Map below Determine: -3 a. Characteristic Equation b. Transfer Function c. Differential Equation Imaginary 0 j RealC(s) 2. G(s) = R(s) s+2 Write the state matrix s2+4s+3 equation and the output equation in the phase variable form. Read class notes for help.SEE MORE QUESTIONSRecommended textbooks for youIntroductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationFundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationFundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,