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The voltage source v, (t) is a periodic signal with the waveform shown below. (a) Please derive the Fourier series of vs (t). (b)

The voltage source v, (t) is a periodic signal with the waveform shown below. (a) Please derive the Fourier series of vs (t). (b) The phasor of i(t) is I (jw). Please derive the transfer function H(jw) = 1(jw)/V, (jw) [Note: the expression of H (jw) will look quite long...] (c) Please derive the Fourier series of i(t). [Note: use the results of (a) and (b)] (d) Please calculate the value of the DC term and 1st 4th harmonic term of i(t), using R = = R= 10 02, and L = L = 10 mH. Ds (1) = -1 2 V 0 10 V 1 2 -1 (ms) 0(1)( R ww R www Li(0) 22

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