Concept explainers
Find the trigonometric Fourier series for
Want to see the full answer?
Check out a sample textbook solutionChapter 17 Solutions
Fundamentals of Electric Circuits
- 2. Circle the fundamental frequency of the complex wave below. Which Fourier component has the most energy? Write an equation to find its frequency (you do not need to give a frequency in Hz, just fi, f2, etc.) 1.0 V 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 Ov 0.0 551.2 1.1k 1.7k 2.2k 2.8k Frequency (Hz)arrow_forwardProblem 1 Find the Fourier Transform of the signal s(t) = 20 cos1000t. Plot the spectrum (Fourier transform) of the signal. Determine the average power in the signal. Problem 2 Find the Fourier Transform of x(t) = 10 sin(2n2000t). Plot the spectrum (Fourier transform) of the signal. Determine the average power in the signal. %3Darrow_forwardthe Fourier series of F (x)=sin2xfunctionreferences osinx-sin2x 1-cos2x Osinx+sin2x: O 0.5-0. 5cos2x o sin2x+ cos2xarrow_forward
- The Fourier series coefficient for the periodic signal x(t) = 8 cos(t) sin(4t) are A. C3 = C5 =-j, C_3 = C_5 = j, all other coefficients are zeros B. C3 = C5 =j, C_3 = C_5 = - C. C C_1 = 1, C = C_4 = D. C3 C5 = -2j, C_3 = C_5 = E. C3 = C5 = 2j, C_3 = C_5 =- %3D -i.all other coefficients are zeros i. all other coefficients are zeros %3D - C. 21. all other coefficients are zeros %3D 2j. all other coefficients are zeros OL Aarrow_forwardThe Fourier series representation of the discrete time signal x(n) is 2πη X(n)=4 sin 3 X(n)=eieiwon + 2eiewom X{n}=1/2ee/won + 1/2e%e²jwon Option 3 Option 4 X(n)=1/2ee2won + 1/2eže²jwon O Option 1 O Option 2arrow_forwardFor the periodic signal shown below, answer the following questions: v (V) a) w, in radians per second, b) fo in kHz, c) The Fourier series coefficients av, ak, bk Q Ara -2 -1 0 3 4 5 6 -1(s)arrow_forward
- Obtain the Fourier Series for the following Signal. i = 5 sin e/2 5 -27 Note: sin A cos B Use sin(A+ B)+ sin(A – B)]arrow_forwardFind the trigonometric Fourier of the triangular waveform shown over the interval (-TT, Tt). x(t) 2 -2t - - 2arrow_forward24 92 1492 ww 12 92 Figure #4 The circuit shown in Figure #4 shows the inductive and capacitive reactances of a series RLC circuit at the second harmonic of the complex input voltage "e". The Fourier series of "e" given by: F(t) = 15 – 36/r[ Sin377t – ½ Sin754t-¹/3 Sin1131t – ¼ Sin1508t -..] a. What is the frequency of the waveform? b. What is the amplitude of the third harmonic? c. What is the magnitude of the direct current component? d. Determine the apparent power consumed by the circuit e. Hence or otherwise, determine the power factor of this circuit.arrow_forward
- Q2) A periodic signal with fundamental period TO=2 have complex exponential Fourier series coefficients D0=-1 D1=1 D-1=1 , D2=-0.5J D-2 = 0.5J Find the periodic signal x(t)arrow_forwardItem 3 Calculate the Fourier Series of Periodic Functions from the given figure. Find the Amplitude and spectra. Find the Vo(t) response of the circuit. f(t) A ww 2H vo(t) -3 -2 -1 0 1 2 4 5 6 t T =... 1) = .. ... ... b.=... Fourier Series (r) =..arrow_forward67% 0 P 4:51 4G mobily liı. صورة QI. For shown periodic signal, find exponential Fourier series coefficient D. Simplify your answer. What is the value of D. -2 -1 3 4 I (sec) (a) Q2) Find the power, rms value and energy of the shown signal (Show steps). Q3) For signal g(t) shown below, sketch the signal -2g(6-t) in 0.5 6. 12 15 24arrow_forward
- 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 Education
- Fundamentals 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,