Chapter 19, Problem 22P

In electric circuits, it is common to see current behavior in the form of a square ware as shown in Fig. P19.22. Solving for the Fourier series from

$f\left(t\right)=\{\begin{array}{cc}{A}_0& 0\le t\le T/2\\ -A_0& T/2\le t\le T\end{array}$

we get the Fourier series

$f\left(t\right)={\displaystyle \underset{n=1}{\overset{\infty }{\sum }}\left(\frac{4A_0}{\left(2n-1\right)\pi }\right)}\sin \left(\frac{2\pi \left(2n-1\right)t}{T}\right)$

Let $A_0=1$ and $T=0.25$ s. Plot the first six terms of the Fourier series individually, as well as the sum of these six terms. Use a package such as Excel or MATLAB if possible.

FIGURE P19.22