Chapter 9, Problem 33P

The sawtooth current $i\left(t\right)$ shown in Fig. 9.33 is applied to a $500\mu F$ capacitor. Sketch the voltage $v\left(t\right)$ across the capacitor knowing that $i\left(t\right)=C\frac{dv\left(t\right)}{dt}$ or $v\left(t\right)=\frac{1}{C}{\displaystyle \int i\left(t\right)dt}$. Assume that the capacitor is completely discharged at $t=0$ (i.e., $t=0$ is 0 V).