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.
ALternator fuses, if equipped may be on the battery post, in a fuse box, or in the wire going from the battery to the alternator.
the positive wire that recharges the battery after being drained from the starter
alternator, or a wire to alternator loose
This wire allows the alternator to keep the battery charged.
Charge it, replace it,test the alternator,Charge it, replace it,test the alternator,
Usually when the battery light comes on its the Alternator, or a bad wire from Alternator to battery, but id check Alternator first.
Battery light usually means alternator not charging. Most common solutions would be be a bad alternator, bad connection, or loose alternator belt. If the battery and alt test ok than check the connections to the alternator and battery.
Have a shop load test the battery.
Yes, if it shorts to ground internally.
If the alternator tests out OK (most auto parts stores will test one for free), then follow the large wire from the alternator to the battery and test continuity. There is probably one or two fuses or fusible links. Hope this helps. Mark
Voltage regulator or loose wire.