1. Consider a charging RC circuit:
$\varepsilon$
C
R
The capacitor is initially uncharged. The switch is closed at t = 0.
a) Express the power of the battery, resistor, and capacitor as functions of time.
b) As t $\rightarrow \infty$ how much energy in total was supplied by the emf? How much of this energy was dissipated in the resistor
and how much is stored by the capacitor?