Chapter 9, Problem 35P

A current $i\left(t\right)$ is applied to a capacitor of $C=100\mu F$, as shown in the Figure 9.35.

1. Knowing that $i\left(t\right)=C\frac{dv\left(t\right)}{dt}$, sketch the voltage across the capacitor $v\left(t\right)$.

Assume $v\left(0\right)=0\text{V}$. Also note that the time us measured in $ms$ and the current $i\left(t\right)$ is measured in mA.

(b) Given results of part (a), sketch the power $p\left(t\right)=v\left(t\right)i\left(t\right)$.