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Question:

would this amplifier underpower my speakers?

i have 4 alpine type s speakers that are 80 watts rms and i have a amp that is 50 watts rms x 4 would this be underpowering my speakers

Answer:

Yes by 30rms. It wouldnt sound to bad but not as loud as it could go. You should try a 70-90rms x 4 amp. They would make your speakers sound real good and crisp.
Dude, that setups is fine. If its a true 50 watts, they will make your speakers scream. Another 20 watts isnt going to make a world of difference. Im assuming you have a quality amp. It will be just fine. 80 watts is just the most power the speakers can safely handle. Underpowering does not harm speakers unless the gain is set improperly, same for overpowering or powering just right.

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