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Fourier Deconstruction
Find the Fourier series as far as the third harmonic, to represent the periodic function y, given by the values in the following table.
x
0o
30 o
60 o
90 o
120 o
150 o
180 o
210 o
240 o
270 o
300 o
330 o
360o
y
-3.5
5.1
8.4
8.2
10.3
12.0
9.0
3.4
-6.2
-10.0
-16.5
-14.5
Use a spreadsheet to determine its parameters. Draw the graph of the waveform and explain your working out.
RMS Values
Derive the necessary formula/method to determine the effective value or RMS of a triangular wave. Use either a similar method to the class example of the RMS determination of the sinusoidal wave or any other appropriate method.
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