As already indicated upthread, the function of the alternator idiot light is twofold.
1. It provides the
initial current for field excitation; once the alternator
rpm is high enough (~ few hundred rpm), the alternator becomes self exciting and the field current is provided internally. This is the point where the idiot light is extinguished.
2. It indicates the alternator output
voltage is the same or higher than the battery voltage. It does
not indicate anything about the alternator output
current.