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Fourier series waveform

  1. Jul 6, 2014 #1
    1. The problem statement, all variables and given/known data

    what type of waveform would this make ?

    2. Relevant equations

    V(t)=2/π(sin(ωt)+1/2sin(2ωt)+1/3sin(3ωt)+1/4sin(4ωt)+.........)

    5sin(ωt)+5sin(2ωt)+5sin(3ωt)+5sin(4ωt).....

    3. The attempt at a solution
     

    Attached Files:

    Last edited: Jul 6, 2014
  2. jcsd
  3. Jul 6, 2014 #2
    all that I have read about Fourier series, it uses odd number for 'n' to make an sawtooth waveform,

    5sin(ωt)+5sin(2ωt)+5sin(3ωt)+5sin(4ωt)..... this is not add together as it is increasing the voltage ?
     
    Last edited: Jul 6, 2014
  4. Jul 7, 2014 #3
    Where did you come up with

     
  5. Jul 7, 2014 #4
    that is from the input, see the 2nd attached.
    i dont understand what waveform the input will be making.
     
    Last edited: Jul 7, 2014
  6. Jul 7, 2014 #5
    Those inputs I don't think are valid, cause you are right as they stand they'd keep adding.
    Generally with fourier series as the frequency of the component goes up the scalar goes down.
    Take a look at http://en.wikipedia.org/wiki/Fourier_series
    example 1 is actually the sawtooth waveform. You'll notice that is not 5 as you have in your example but rather [tex]2*(-1)^{n+1}\over(\pi*n)[/tex]
     
  7. Jul 7, 2014 #6
    the 5 is Peak amplitude.
     
  8. Jul 7, 2014 #7
    Well then it would be multiplied by 5. The peak amplitude is generally taken into account when you do the integral to calculate Bn & An
     
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