Fourier series V_out (t) = sin(wt) for 0 < wt < pi, 0 for pi < wt < 2pi

[Rick55446]

Hi, there! I'm struggling a bit with Fourier series. I've watched endless videos on the subject, but can't seem to grasp it and wondered if anyone would kindly take a look at the problem and try to explain it to me in the simplest of terms. Thanks in advance, Rick

1. Figure 1 below shows a Half-wave rectifier whose input is a sinusoidal AC signal, V_in(t)=sin(ωt). The output is defined in the following;

. . . . .\(\displaystyle V_{out}(t)\, =\, \begin{cases}\sin(\omega t)& \mbox{ for }\, 0\, <\, \omega t\, <\, \pi \\ 0& \mbox{ for }\, \pi\, <\, \omega t\, <\, 2\pi \end{cases}\)

express V_out(t) as a trigonometric Fourier series; assume w=1,

 

[Deleted member 4993]

hi there, I'm struggling a bit with Fourier series I've watched endless videos on the subject but can't seem to grasp it and wondered if anyone would kindly take a look at the problem and try to explain it to me in the simplest of terms. Thanks in advance, Rick

1. Figure 1 below shows a Half-wave rectifier whose input is a sinusoidal AC signal, V_in(t)=sin(ωt). The output is defined in the following;

V_out(t)={ sin wt 0<wt<pi
...........{ 0 pi<wt<2pi
express V_out(t) as a trigonometric Fourier series; assume w=1,

What are your thoughts? Please share your work with us ...even if you know it is wrong If you are stuck at the beginning tell us and we'll start with the definitions. You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL: http://www.freemathhelp.com/forum/th...Before-Posting

 

[Rick55446]

Hi, thanks for the response.
I am stuck at the beginning? I have no work to show at this point
I beleive the period is 2pi but I think I've managed to confuse myself by watching videos where people use different methods and notation to each other. Also the different variations of the Fourier equation.

if you could start with the definitions that would be great

I don't want anybody to simply give me the answer because I know that won't help me with the workings but if you could break the question down for me then I'll have a go at solving and then post my work for you to check over if that is acceptable

thanks

 

[stapel]

I am stuck at the beginning...

if you could start with the definitions that would be great

Are you saying that you're not familiar with Fourier series?

 

[Rick55446]

Yes

 

[stapel]

Are you saying that you're not familiar with Fourier series?

Yes

Obviously, we cannot here provide weeks of classroom instruction. So you'll probably want to enroll in a course which teaches this topic.

Good luck!

 

[Deleted member 4993]

Hi, thanks for the response.
I am stuck at the beginning? I have no work to show at this point
I beleive the period is 2pi but I think I've managed to confuse myself by watching videos where people use different methods and notation to each other. Also the different variations of the Fourier equation.

if you could start with the definitions that would be great

I don't want anybody to simply give me the answer because I know that won't help me with the workings but if you could break the question down for me then I'll have a go at solving and then post my work for you to check over if that is acceptable

thanks

You may want to start here:

http://mathworld.wolfram.com/FourierSeries.html

After reading that you may want to tell us - what you don't understand in that paper.