shirley if the light goes out then the alt is pushing out more volts than the battery has in it, so it should be charging, maybe not as quick as yer'd like
Not nessissarli sad to say .... 'cos of the way 'nators are wired ...
You can have a VOLT meter in the system, and even if it says green section is OK, it may not be charging hardly at all.
The battery needs TWO things to get it to take a decent charge, and that's an alternator voltage significantly higher than the battery is at, AND a whole lot of amps at that voltage.
Alternators cannot charge a battery as fully as a good dynamo could.
A dynamo could hit high votages (we used to set them about 16 volts to get the lights bright) and that charged the battery right up and caused it to gas off, so we needed to top up the electrolyte every week.
Alternators are set to a maximum voltage (13.8v) that is supposed to be JUST UNDER the voltage that causes the battery to gas off, and so (a) you get a "maintenance free battery", and (b) the battery is NEVER quite fully charged.
So they fit slightly bigger capacity batteries to make up for it.
It is GOOD for your battery to discharge it well down once in a while then immediately charge it back up again using a decent mains charger.
It is DEATH to your battery to let it get profoundly flat, and to let it sit like that even for a short time. Keep them charged ...
Sorry to preach ... didn't mean it like that!
CharlesY