Okay, I'm still confused. Here was my reasoning but it doesn't seem to match up:
If the charge across the capacitor at any time is
q(t) = (EC/2) * (1- e^(-2t/CR))
and taking the derivative we find:
dq/dt = E/R * (e^(-2t/CR))
then at t=0, dq/dt is equal to E/R.
If I_R = Q/CR then...
Here's the problem:
Consider the circuit in which a battery
with internal resistance r can be connected via a switch to a resistor
and capacitor in parallel.
Suppose that the capacitor is initially uncharged and then at time
t = 0 the switch is closed. After the switch is closed a...