Find the Fourier Series for the following periodic functions -T/2
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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Question
![Find the Fourier Series for the following periodic functions
1
-T/2<x<n/2
1) f(x)={
|-1
cos(x) -cos(3x)+cos(5x)-
Ans.
T/2<x<3n/2
1
2) f(x)=x
-T<x<n Ans. 2 sin(x)-sin(2x)+sin(3x)-.|
3) f(x) = x
- n<x< T
Ans.
cos(x
cos(2x) +:
T+x
4) f(x)=
TーX
-T<x<0
4
1
cos(x)+cosBx)+cos(6x)+...
25
Ans.
0<x<7
-r/2<x<t/2
4
Ans.
1
1
5) f(x)=
sin(x)-sin(3x)+sin(5x)–..
t/2<x<3r/2
25
cos(x)-cos
4
-cos(3x)
277
cos(2x)+
-x/2<x<n/2
6) f(x)={
2 14
Ans.
Tt/2<x<3t/2
1
+cos(4x)-.
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Transcribed Image Text:Find the Fourier Series for the following periodic functions
1
-T/2<x<n/2
1) f(x)={
|-1
cos(x) -cos(3x)+cos(5x)-
Ans.
T/2<x<3n/2
1
2) f(x)=x
-T<x<n Ans. 2 sin(x)-sin(2x)+sin(3x)-.|
3) f(x) = x
- n<x< T
Ans.
cos(x
cos(2x) +:
T+x
4) f(x)=
TーX
-T<x<0
4
1
cos(x)+cosBx)+cos(6x)+...
25
Ans.
0<x<7
-r/2<x<t/2
4
Ans.
1
1
5) f(x)=
sin(x)-sin(3x)+sin(5x)–..
t/2<x<3r/2
25
cos(x)-cos
4
-cos(3x)
277
cos(2x)+
-x/2<x<n/2
6) f(x)={
2 14
Ans.
Tt/2<x<3t/2
1
+cos(4x)-.
8.
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