The duration of a photographic flash is related to an $R C$ time constant, which is 0.100$\mu$ s for a certain camera. (a) If the resistance of the flash lamp is 0.0400$\Omega$ during discharge, what is the size of the capacitor supplying its energy? (b) What is the time constant for charging the capacitor, if the charging resistance is 800 $\mathrm{k} \Omega ?$