Lets pretend EPC(electrical principle circuits - its really like physics) spurred some interest in me....

This is RC Transient Analysis:

1. time constant = RxC (s)

2. time to fully charge =5 x time constant[RxC](s)

3. Vc(t) = Vs(1-e to the power of -t/RxC)

4. ic(t) =Im e to the power of -t/RxC

5. Im = Vs/R

6. Vc(t) = Vm prime e to the power of -t prime/RxC

7. Im prime = [Vm prime = Vs ]/R1 + R2