Battery Light Problem

ok i got the problem well not exactly but i tried an alternator from another msp in my car and it worked fine no overcharging over 4k...anything so im assuming the alt is bad
 
Alt overcharging

IM HAVING THE SAME PROBLEM (pissed) i replaced the battery the alternator i took to a reputable alternator rebuild shop that all shops around town use and recommend then it was charging 15.0 ,they suggested a bad ground, then i replace the ground with a new wire with new terminals i even ran a new power lead to alt and now its charging 15.6 when accelarating about 3k rpm, now the tell me to take the alt out and they will bench test it , what should i ask them to test on it? or replace in it?
i also replaced both belts alt and pwr steering
 
i don't have an msp but im having the same problem and i switched my alt several times already i even reinforced the grounds to the battery and the block don't know what else to do?
 
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