If you figure a 110 dB/w driver- bear in mind this is at 1 meter usually...then in theory 1/10 watt will generate 100 dB. 1 watt would generate 110 Db since 10 dB is ten times power.
Here's where the flea power amp begins to lose it. The next 10 dB to reach 120 is again ten times power, or 10 watts. All amps can put out transients far beyond continuous ratings, so let's say the 2 or 3 watt amp can get us there. If you are willing to sit 3 feet from the driver a small amp can get you to 120 dB IF you are listening at 1/10 of a watt average level. The amp is reproducing a 10 watt transient.
The next 10 dB to get to 130 is again 10 times power. That flea power amp would be called upon to generate 100 watt transients cleanly. If you believe that I have some bottom land in the Everglades for sale.
This is all assuming the listener is one meter from the speaker with a 110 dB/watt speaker. Get realistic, and start thinking about a 100 dB/watt woofer and you soon realize that you need a 100 watt amp that can reproduce 1 kilowatt transients. Surprisingly not difficult to find. But it is absolutely impossible that the small amp can reach a 130 dB transient cleanly with any woofer on the market.
If listening to recordings with limited dynamic range you will likely be OK with the small amp. But if listening at a higher average level than 100 dB, or to wide range recordings, the little amp is, as Monty Python would say, right out.
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