Belt slippage doesn't make a lot of sense. That supercharger takes >25 horsepower to turn, the alternator takes <8 hp. If there's enough tension on the belt to keep the supercharger making boost, then there's definitely enough tension to keep the alternator spinning. Also, alternators are designed to make their full rated amps at idle. So they should have no trouble at 6000 rpm even if the belt is slipping a ton.
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