The first five terms in the Fourier series of a periodic waveform are vt 5

The first five terms in the Fourier series of a periodic waveform are vðtÞ ¼ 5 þ 25 h

p 4

cosð500tÞ  1 3

cosð1000tÞ  1 15 cosð1500tÞ

 1 35 cosð2500tÞ

i V

(a) Find the period and fundamental frequency in rad/s and Hz. Identify the harmonics present in the first five terms.

(b) Use MATLAB to plot two periods of v(t).

(c) Identify the symmetry features of the waveform.

(d) Write the first five terms of the Fourier series for the waveform v(t).