Back in the day, 9 Volts is what the battery needed to hold during cranking, and if it was at least nine it was considered good, so the vehicle could run on 9. of course, during the start-cycle the ballast resistor was bypassed, giving the IGN a little boost. IME if the ballast resistor was left in the loop and not bypassed, they'd still start. 7 volts under crank is when I'd see the older vehicles not get it. ECUs then seemed to be good down to 9-10 in the 80s when the electronics entered the fray. in my mid 2000s vehicles, they'd run fine on 11. Get into the 10s and the fancier brands would start hiccuping at anything below 11.5.
Some misinformation in these posts. Failing batteries do not present as huge loads. The accept less and less charge. So the statement that failing batteries overtax an alternator is not true. Most younger shade tree guys don't see this because the electronic chargers don't give us this information.
A vehicle running with a weak battery does not demand any more power than with a strong battery. Either way, with a healthy or weak battery, the alternator provides, one way or another, all of the power to recover the battery from a start and maintain all loads while underway. The battery's depth of capacity is really only relevant at starting the vehicle. Yes, newer systems rely on the battery in waves by boosting and cutting charge rate (by voltage) based on drive cycle, but one way or another, the alternator provides all the power, period. Alternators are also getting larger - consider how much juice EPS requires now....
The stalling issue comes into play when we consider that the alternator requires electricity fed into it to generate current, and NVH considerations along with avoiding voltage spikes biases the alt to be quick to cut output (avoiding a spike when a major load turns off) and gentle to raise output (avoid over-compensating which can create a secondary spike) and NVH by sharply tugging on the drive belt. as RPMs raise and lower, and loads turn on and off, it therefore is quick to reduce and gentle to increase. During that gently increased delay, if there's an immediate demand, the battery will catch it for that 1/3 of a second. If the battery is weak, the alternator then ends up starved with enough power to operate, and the vehicle goes undervolt and quits. So the battery develops a larger roll in this case, which is becoming more prevalent with MPG programming, and is why we see shorter battery life and reduced battery warranties.
-m