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Fourier Series: Full Wave Rectified - Example 1

Updated: May 17, 2021

Question:


Determine the Fourier series for the full wave rectified sine wave:

Answer:


Sketch the Function and work out the period (L):

The graph has a period of L=4𝜋.


The function is symmetrical in the y-axis. Therefore it is an even function and will contain no sine functions.


It has a period 4𝜋 so we can use the formula for Fourier Series of periodic functions for any period with L = 4𝜋.


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