A portable electrical device requiring periodic recharging mates with a corresponding charging device by dropping or placing the portable device on or in the charger without pre-alignment by the user. The charger-to-device interface self aligns the portable electrical device in the charger for charging. Preferably, the charger is a bowl-shaped cradle, and the mating surfaces as well as the contacts are symmetrical about a vertical axis. The portable device sinks to the bottom of the bowl using the force of gravity and thus aligns the contacts for recharging. Optional magnets may provide additional force to guide alignment.