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FOURIER SERIES 1. Determine the Fourier Series Expansion: t Amps 0≤t≤ π π t +2 Amps π ≤ t ≤ 2π a. i(t): T C. b. T = 2π ao = 1 2 d. an = [(-1)" - 1] e. bn = 0 (even symmetry) f._i(t) = ² + [=1{ ²2/[(−1)ª − 1] cos(nt)} Amps - 2

FOURIER SERIES 1. Determine the Fourier Series Expansion: t Amps 0≤t≤ π π t +2 Amps π ≤ t ≤ 2π a. i(t): T C. b. T = 2π ao = 1 2 d. an = [(-1)" - 1] e. bn = 0 (even symmetry) f._i(t) = ² + [=1{ ²2/[(−1)ª − 1] cos(nt)} Amps - 2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 67E
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FOURIER SERIES 1. Determine the Fourier Series Expansion: t Amps 0≤t≤ π π t +2 Amps π ≤ t ≤ 2π a. i(t): T b. T = 2π ao = 1 2 d. an = [(-1)" - 1] C. e. bn = 0 (even symmetry) f._i(t) = ² + [=1{ ²2/[(−1)ª − 1] cos(nt)} Amps - 2
Transcribed Image Text:FOURIER SERIES 1. Determine the Fourier Series Expansion: t Amps 0≤t≤ π π t +2 Amps π ≤ t ≤ 2π a. i(t): T b. T = 2π ao = 1 2 d. an = [(-1)" - 1] C. e. bn = 0 (even symmetry) f._i(t) = ² + [=1{ ²2/[(−1)ª − 1] cos(nt)} Amps - 2
General Task: Determine the Fourier Series Expansion of the following periodic functions shown at the graph below. i(t) isss. 47 e. 27 f. бл To do the general task, answer the following: a. Determine the periodic piecewise equation of the said graph. b. Determine the period (T) from the periodic function. c. Determine Euler coefficient ao. Express your answer in simplest form. d. Determine Euler coefficient an. Express your answer in simplest form. Determine Euler coefficient b. Express your answer in simplest form. Determine the Fourier Series Expansion of the periodic function. 87
Transcribed Image Text:General Task: Determine the Fourier Series Expansion of the following periodic functions shown at the graph below. i(t) isss. 47 e. 27 f. бл To do the general task, answer the following: a. Determine the periodic piecewise equation of the said graph. b. Determine the period (T) from the periodic function. c. Determine Euler coefficient ao. Express your answer in simplest form. d. Determine Euler coefficient an. Express your answer in simplest form. Determine Euler coefficient b. Express your answer in simplest form. Determine the Fourier Series Expansion of the periodic function. 87
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