A power management system including a battery-powered application, in which an input current is supplied by a source of current that may be a current-constrained source, such as a USB port, to a battery for charging the battery and to an application load. Battery charging current is supplied to the battery for a period of time based on magnitude of battery charging current, so that charging current of lesser magnitude is applied to the battery for a greater period of time. In accord with one implementation, battery charging current is determined by monitoring the difference between a programmed charging current, dependent on battery type, and magnitude of current used by the load. Change of battery charging current due to voltage mode charging, when charge current begins to drop as the battery approaches full charge, is detected, and in response, the charging period is set to a fixed charging period based on the battery.