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
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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.
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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