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Sci.Electronics.Basics -> Help with RC fourier series
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Author: jalbers@bsu.eduDate: 16:00 10-07-08
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I am looking for a fourier series to approximate the following wave
form:
A constant DC voltage source charging a capacitor wired in series with
a resistor for a time t=2L and then the capacitor is discharged "very"
rapidly down to zero and the process repeats again and again ...
I am new to fourier series computations but I think that I am looking
for the constants A0, An, and Bn where f(x) is V[1-e^-x/RC] in the
interval [0,2L]
f(x) ~ A0 + Sigma[1,inf, An cos(n * pi * x/L) + Bn sin(n * pi * x * x/
L)]
A0 = 1/L Integral[0,2L, V[1-e^-x/RC]
An = 1/L Integral[0,2L, (V[1-e^-x/RC)cos(n * pi * x/L)]
Bn = 1/L Integral[0,2L, V[1-e^-x/RC]sin(n * pi *x/L)]
I could probably do the math, but I bet that this has been before. Is
the math ok so far? Does anybody have a link to the final answer?
Any help would be greatly appreciated. Thanks
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