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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.
Use basic circuit theory to convert the "T" circuit below into the equivalent "π". Hint: Remember to disconnect the voltage source and the load.
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