Posts: 1 How to write the Fourier series up to Nth harmonic?

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Discussion Overview

The discussion revolves around writing the Fourier series in trigonometric form for a square wave with odd symmetry, specifically up to the 9th harmonic. Participants are seeking clarification on the correct formulation and terms to include based on given parameters such as peak value, average value, and fundamental frequency.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant asks if the Fourier series can be expressed as 4*0.3V/(pi*N)*sin(Nt) for the specified square wave.
  • Another participant inquires about the general expression for all harmonics and which terms should be retained for the 9th harmonic.
  • There is a suggestion that the expression might be 4*Amplitude/(pi*N)sin(N*t*freq), though it is unclear if this is confirmed.
  • A reference to Wikipedia is made to verify the form of the square wave and whether it aligns with the participant's understanding.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the correct formulation of the Fourier series, and multiple competing views on the expression remain unresolved.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about the square wave and the definitions of terms used in the Fourier series formulation.

red009
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I need to write the Fourier series in the Trigonometric form up to 9th harmonic

Fourier Series for Square Wave with odd symmetry
Peak value of 0.3 volts
Average value of zero
fundamental frequency of 1Hz

Is this right?

4*0.3V/(pi*N)*sin(Nt)? please respond I really need help and am very confused!
 
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Hello? Anyone there?
 
Hey red009 and welcome to the forums.

Do you know what the general expression is for all harmonics? If so, what terms of that expression should you keep for the range of harmonics you listed above?
 
is it 4*Amplitude/(pi*N)sin(N*t*freq)?
 
red009 said:
is it 4*Amplitude/(pi*N)sin(N*t*freq)?

From wikipedia we get the document:

http://en.wikipedia.org/wiki/Square_wave

Is that the form of your square wave or is transformed in some way?
 

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