Ironically your question answers your question.If the battery light came on,and the battery is old,has poor connection,or maybe has a dead cell in the battery it would cause this problem.I would remove the battery if the vehicle will not run,take it to auto zone,or advance auto and have them do a battery test on it.I would guess your battery is either at the end of it's life in term of 48 month,72 month as examples or it may have a dead cell which will cause the vehicle to HAVE NO POWER to the alternator and can be compared to a vehicle with no battery literally.Take the battery out,get it checked I bet money you need a new battery even if the battery is not that old it can happen at any time and I speak from experience.Had a 2 year old battery die at a fuel stop got in turn the key nothing not even horn,lights,door buzzer,radio etc.Dead cell in battery.
depends on what way you are testing it but you either have a bad connection between the alternator and the battery or your battery is bad and cant hold the charge what voltage are you getting
yes if one of the wires was getting an earth from the alternator cover or rubbing off the engine the battery light is really an alternator light warning you that the alternator is not charging the battery
Likely a inline type (fuseable link wire) look for a section of wire usually near the battery that is discolored or try to stretch the wire they can burn off or break internaly, test this wire at back of alternator with test light and engine and key off, you should have power at the output terminal as long as the battery cables are connected.
You could have as simple a problem as a ground not getting a good connection, a corroded terminal(or wire) on the wire from the alternator to the battery, or maybe the plug in that goes into the voltage regulator is bad. I would first take an ohm meter and see if you're getting all the power from the alternator to the battery. One other thing might be a short in the computer. Good Luck!
Check for a bad fusable link at alternator
because you forgot to put lube on it
either the alternator is dischargeing the battery or it is going flat just because its not getting re charged
alternator is not working so your battery isn't getting a charge
The battery light will be illuminated on the dashboard and later the battery will go flat as it is not getting charged Garages can check this for you if your battery is frequently getting flat.
If your car lights are getting brighter and dimmer its probably do to inconsistent charging from your alternator or your alternator is insufficiently charging. To test this start your vehicle and test the voltage across your battery terminals ( pos test lead to pos battery terminal ) it should be approximately 14 volts if your vehicle is a 12 volt system.
More than likely your alternator is getting ready to go out.
No, the battery terminal should be able to handle as much electrical current as the vehicle should ever use, WITHOUT heating up. Clean or replace any battery terminal that is getting hot.