Obtain complex exponential Fourier series expansions for the following signals To To (a) 2 2 x(t) = = At, st< |x(t)= x(t+T₂), allt (b) x(t) = cos² 2 0nt sin 1 0nt
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![3. Obtain complex exponential Fourier series expansions for the following signals
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- Electrical Engineering Please answer asap Fourier Series Find the general Solution of (Q(t)) cant It) of RLC circuit of the given values : R = 102 L = 10H 1 C = 10-² F E (t) = 2wt (77²- +²), -H1 Consider the Fourier series for the periodic function: z(t)=sin(4t) + cos(8t) +7+ cos(16t) The Fourier coefficient C₂ of the exponential series is: Select one: O 0.5e-1/2 O 0.5/2 O 0.5 O 0.57) x(t)=2sin(pi*t+pi/2) Write the signal in the form of the Fourier expansion. Show the coefficients, sizes and phases.H.W: Find the Fourier series for the following periodic functions 2), (x) = |t| -T2. Find the fundamental period and fundamental frequency of the following periodic signal. Sketch this signal. x(t) = > e-(t-k) cos(4(t – 2k)) [u(t – 2k) – u(t – 2k – 1)] k=-oDetermine the Fourier transform of the sinusoidal pulse described as T x(t) = Xm sin = 0, 0Consider the Fourier series for the periodic function: x(t) = 2sin2(t) + cos(4t) out of The Fourier coefficient Co of the exponential series is: Select one: O 0.5 O 1.5 O 1O 1.5 Consider a function x(t) with a period To = 4 and Cor = 0 Given another function: y(t) = 2x(t+ 1) – 2 Find the Fourier coefficient Cou: Select one: O Coy = 2 O Coy = -2 O Coy = 0 O Coy =-4The Fourier series coefficient over fundamental period for the periodic signal x(t) = sin(2 pi t) is Select one: O a. S[k-1] - j/2 8[k+1] O b. j/2 8[k+1] - S[k-1] O c. j/2 8[k-1] - j/2 S[k+1] O d. j/2 8[k+1] - j/2 8[k-1]What is the complex Fourier series of the function f(t) = cos t? Hint: if you're confident, you can do this without integrating anything. 1 1 2. it 2n(-1)" e'nt 2. n=-00,n3%31 n2 1. 1. 1+- Σ 2n(-1)" eint n2 . n=ox, n30 1. eit +e t+= 2n(-1)" None of these.2. Find the inverse Fourier transform of the following signals. (a) X(jw) = (1-j)8(w - 3) + (1+j)8(w + 3) jw+2 (b) X (jw) = (-w²-3.75 jw-1) (jw+0.625)Recommended 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,