1) For the above waveform, derive the Fourier series representation of the waveform.
2) The waveform above is applied to the input of the above circuit. Using the Fourier series derived in part 1, determine the current through the inductor iL for the first 3 non-zero terms of the series. Consider initial conditions of the capacitor and inductor to be zero.
3) If the waveform is applied across a 10 Ω resistor, calculate the exact amount of average power absorbed by the resistor.
4) Calculate the average power absorbed by the 10 Ω resistor from the first 3 non-zero terms of the Fourier series.
5) What percentage of the total power (calculation of part 3) is delivered by the first 3 non-zero terms (calculation of part 4) of the Fourier series