SAMPLE PROBLEM
Compute voltage as a function of time
At minus infinity everything is zero. Since
current is zero for t<0 we have
In particular
Charge stored at 5ms
Total energy stored
Total means at infinity. Hence
Before looking into a formal way to describe the current
we will look at additional questions that can be answered.
Now, for a formal way to represent piecewise functions....
Given current and capacitance