Consider the RLC circuit shown in Fig. $1$A$.$

Figure $1$A: An RLC circuit with a square wave input.

Consider the periodic function in the figure below for $a=1.$

$($a$)$ What is the period $T$ of the function? $[1$ point$]$

$($b$)$ Write $f(t)$ as a piecewise function Since this is a periodic function, you will only need the formula for one period $[0,T),f(t+T)=f(t)L\{f(t)\}$