Alternator does not charge your car battery the way you think it does
carbibles.blogspot.com
carbibles.blogspot.com
Not in a long-long time. Voltage-regulated alternators have been a thing for decades now. By the 90s, most companies had solid state internal voltage regulators. Also, most (probably every) modern cars feed the alternator signal through the ECU/PCM before it gets to the battery specifically because it's crucial that computer-controlled component receive a clean, reliable voltage signal. I learned this the hard way.
A "dead battery" in the former case (maybe we should just call it a "very discharged battery") can, in my experience, often be recharged by your alternator and it doesn't necessarily take a super long drive to do it. That's assuming you're able to get the car started in the first place, possibly by jump-starting from another car, or "roll it down a hill and pop the clutch" which will work IF there's "just enough" juice in the battery for the ignition coil to fire (and enough to provide the "seed" excitation current to the alternator).
OTOH, a "dead battery" in the latter sense (maybe we should call it a "dying battery") simply needs to be replaced, ASAP. It won't ever hold a charge reliably, could (in an extreme worst case scenario) develop an internal short and catch fire, or damage your alternator.
Fortunately most auto parts stores (here in the US anyway) offer a battery testing service that can tell you if your battery is truly shot or not. They'll also often have an alternator tester, but that usually means removing the alternator and bringing it in, which can be a lot of work on some vehicles. But a simple test is to start your engine and then disconnect the positive battery terminal. If the engine dies immediately, you know the alternator isn't emitting any current (the engine dies because there's no current for the ignition coil(s), ECM, fuel-injectors, etc).
Do not do that. The battery acts like a buffer to smooth out voltage spikes put out by the alternator. Without it, system voltage can spike to dangerous levels and potentially damage electronics.
Also keep in mind that all modern alternators have a built-in voltage regulator that provides first-order protection against such spikes.
Empirically, I can say that I have done this very many times in my life, and I have never once observed any negative consequence as a result. YMMV, of course.
New verb: To chernobyl your car's electronics.
Yes, VW Bettle ;)