I have the impression that most, if not all, of the examples of low voltage/low current are based on the engine idling.
The alternator's ability to generate current is dependent on rpm, On a "cold start" the engine idling rpm is usually raised above normal until the engine warms. That, along with the colder alternator temperature (see paragraph below), helps maintain higher alternator output to replenish the battery charge that was lost to start the engine. Once the engine and alternator are warmed up, the idle speed is lower, leading to lower alternator output capacity as this table from the 2000 FSM indicates for the factory-original equipment (left column is MT, right is AT).
At idle, the alternator is not going to be able to sustain very much beyond the basic power train needs and perhaps some lighting or other accessory.
Also, the alternator's average output voltage is dependent on its temperature (which is a proxy for the temperature of the battery in the engine compartment). On a "cold start", the voltage will be higher; low to mid-14 v is normal. As the temperature of the alternator increases, the average regulated output voltage will decrease, but usually not lower than the upper 13 V range. The temperature control is built into the alternator's regulator itself, and does not use an external sensor.
The alternator's ability to generate current is dependent on rpm, On a "cold start" the engine idling rpm is usually raised above normal until the engine warms. That, along with the colder alternator temperature (see paragraph below), helps maintain higher alternator output to replenish the battery charge that was lost to start the engine. Once the engine and alternator are warmed up, the idle speed is lower, leading to lower alternator output capacity as this table from the 2000 FSM indicates for the factory-original equipment (left column is MT, right is AT).
At idle, the alternator is not going to be able to sustain very much beyond the basic power train needs and perhaps some lighting or other accessory.
Also, the alternator's average output voltage is dependent on its temperature (which is a proxy for the temperature of the battery in the engine compartment). On a "cold start", the voltage will be higher; low to mid-14 v is normal. As the temperature of the alternator increases, the average regulated output voltage will decrease, but usually not lower than the upper 13 V range. The temperature control is built into the alternator's regulator itself, and does not use an external sensor.