Need battery to power amp

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Depends on if you want to use the full power rating. If so then each Ah will give you about 5 minutes of battery life (10 minutes for the smaller amp), multiply as needed.

I strongly advice using smaller amps and higher sensitivity drivers instead. It will be louder and you will be able to play much longer on a smaller battery.
 
Sorry for the double post, this waiting for posts to be approved thing is confusing when you need to edit. The reason I wanted to go with Polk (all of my speaker setups involved Polk as well) is because I get 70% off all Polk products. But I've been looking at amps for a couple days and I can't figure out what the differences in power draw would be. Unless its the Fuse Rating because those are different.

Can you just recommend any amps that I could run off a $50ish battery and I can find the speakers from there?
 
CCTV and wheelchairs use batteries that may be useful here. I was thinking about building a small stereo for camping and researched this somewhat. I assumed that Lithium batteries would be the way to go, but it may be worth doing the math in case that's not good enough. 12 volts will only give you a few watts unless switchmode technology is involved. For 25 watts plus I figured I'd be selecting a car stereo with USB, Bluetooth, AUX in, a CD player and an FM tuner. I'd consider bi-amping to get more power per battery voltage too. Amazon dot com has a significant selection with user reviews.
 
I didn't know you could only get 25w out of a 12v motorcycle battery. The one that Crutchfield made used only a 12v battery and they used it to power 2 amps. 1 pushing a set of 6.5s and the other pushing a set of small subs
Using switchmode technology (switching power supply and/or class D amplifiers) you can get hundreds of watts audio power from a 12 volt battery if the battery can handle the current draw. If the battery isn't constantly being recharged by the car alternator, then there's a tradeoff between how many watts you really need and battery life.
 
I suppose I could just get 1 or 2 sets of Polk dB351 3.5s and run 25w to each.
It appears that most car stereo receivers put out about 25watts into a 4 ohm speaker load (half that into an 8 ohm load) (the ones that actually have poweramps in them - many don't, read carefully). I'd go that route, and get as big a battery (probably lithium) as I could deal with. At least 10 AH. Any more power than that and you might need to tap into a car battery which may not be wise. At that point a generator might be wise.
 
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