So l just need to be pointed in the right direction and the rest l will do myself. How do l get the amplitude and phase for ω=2t. There is a sine and cosine with ω=2t. How do l deal with them.

 

http://webpages.dcu.ie/~applebyj/ms224/BT2_FSER.pdf
have a look, might be useful, might not, been a year or so since i did fourier at uni and i hated with a passion, maybe that was just the lecturer.. probably the lecturer

 

http://webpages.dcu.ie/~applebyj/ms224/BT2_FSER.pdf
have a look, might be useful, might not, been a year or so since i did fourier at uni and i hated with a passion, maybe that was just the lecturer.. probably the lecturer

I do understand how to get the Fourier series. The given signal is a already a calculated fourier series they just want it to sketch its Fourier spectra. I am confused on what to do at ω=2t

 

I am confused on what to do at ω=2t

You probably meant to say at ω=2.

The amplitude would be the square-root of the sum of squares:

\(
\sqrt{(\sqrt{3})^2 + 1^2} = \sqrt{4} = 2
\)

See if you can figure out the phase on your own.

 

You probably meant to say at ω=2.

The amplitude would be the square-root of the sum of squares:

\(
\sqrt{(\sqrt{3})^2 + 1^2} = \sqrt{4} = 2
\)

See if you can figure out the phase on your own.

And the phase is 30 degrees. I now get it. Thanks man.

 

Well the phase angle is either 30 or 60 degrees. Try to figure out which is the correct answer.