Problem 2 a) Write down the potential tally for this circuit after the switch is closed. Assume that the capacitor is initially uncharged. b) Rearrange the previous part so that one side of the equation has a term that looks like
d(q)/(q-CV)
and the other side has a term that looks like
d(t)/(\tau )
, where
\tau =RC
. c) Integrate both sides (one respect to charge and the other respect to time) and solve for
q(t)
. Plot
q(t)
. What are
q(0)
and
q(\infty )
? How about
I(0)
and
I(\infty )
?