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- Please 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 1 vclt) For the RLC series circuit with applied voltage v(t), which of the following best describes why v(t) cannot be a state vector? The applied voltage V(t) provides the same information as V(t). The applied voltage v(t) is an output. The applied voltage v(t) is an input. Three elements, not two, are needed to fully specify the state.The waveforms of two supply voltage signals V1 and V2 can be seen below, so answer these following questions: a) Does V2 lead or lag V1?b) If V1(t)=V0sin(vt), write the expression of V2(t)2. 3t. What is the time constant of f(t), and the frequency in hertz? 3t. What is the time constant of f(t), and the frequency in hertz? b. A system is described by the following differential equation: d'y di3 ďy dr? dx ď²x dx +3 +5 +y= + 4. +6 + &r dt di3 di? dt Find the expression for the transfer function of the system. i.e. Y(s)/X(s)Basic signal system...Computer Technology Eng. Dept. -z- 2 - 1)W? – 1)/ Homework3: A second-order series RLC circuit, shown in Figure below, has some damping due to the resistor. Determine: 1. The key parameters for this circuit in terms of R, L, and C. 2. The time response and the error signal for this system if it is called over damped system. R Vo C Vị 8. Scanned with CamScanner Control Engineering Fundamentals Third Class Hint: We can modify the denominator term of the transfer function as follows: s2 + 23wns + wn2 = [s? + 23wns+ w,²] + (3@n)² - ((wn)“ = [s + 2(s)(3Wn) + (3wn)²] + w,? - ((w,)? = (s + (wn)² – wn² (² – 1) Answer: 1 1+ 2(3+ J?-1)( u(t) 1 le-Ban-V²-1)t 1 e-(kantanv-1) e(t) = 2(3+ J? -1)(J-1), u(t) e-Cwn--1)t - 1)W? – 1)/c) Solve the circuit in the time domain Apply the differential equation technique to find i(t) for t>0 in the circuit shown in the figure and obtain the graph of the response including the interval immediately before the movement of the switch. 12 V 6 kfl ww AWAY 1-0 0.2 mH (10) 4 kf 02 AFind 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 -1/2pes) Consider the RLC circuit as a system, where the input signal is the voltage of the time-dependent voltage source x(t), and the output signal is the resistor voltage y(t). Derive a linear constant coefficient differential equation (LCCDE) that governs this system. Your final result should d²y dy dt² dt be of the form: d²x dt² Input x(t) dx dt L Output + R y(t) +α1 +αoy = b₂ + b₁ + box, where a₁, ao, b₂, b₁, bo are constants. Express a₁, ao, b₂, b₁, bo in terms of circuit parameters R, L, and C.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,