An initially uncharged capacitor C
is fully charged by a constant emfe
in series with a resistor R as shown in Fig. 31-20 above. (a) Show that
the final energy stored in the capacitor is half the energy supplied by the emf. (b) By direct integration of i^{2}R
over the charging time, show that the internal energy dissipated by the
resistor is also have the energy supplied by the emf.

At what time after charging begins is the rate of energy dissipation in the resistor equal to
the rate of energy storage in the capacitor?