when my sprinter had a 4AC the charge light would come on, and this wierd whirring noise would come from the bonnet.
my immediate thoghts were regulator is stuffed, alternator is stuffed. i replace the regulator because it was easier, and the problem went away.
the original regulator was this huge box with coils, magnets and wires inside, the one i replaced it with (from my spare sprinter, which is older than my road one - assuming it was a replacement part) was tiny, and solid state - encased in black resin.
dont really know how to check it, my advice is to replace the reg if you can get one cheap.
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