Answered: 2. Find the Fourier series expansion…

Engineering

Electrical Engineering

2. Find the Fourier series expansion of: So, 0, -1 <<0 f(r) = sin ra, 0

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.

Question

2. Find the Fourier series expansion of:
So.
0,
-1<<0
f(r) =
sin Ta, 0<r <1
and then use it to find the values of the following infinite sum
s:
1
(a)
1
1
1
1
15
35
4n2
+.
1
1
(-1)n+1
(b)
3
+...
15
35
63
4n? - 1
1
(c)
1
1
15
63
143
255
16n2 – 1
1
1
1
(d)
+...
32
152
352
632
(4n2
1)2
-18-128

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