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Nt
"What did the Romans ever do for us?"
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I assume you mean the speaker puts out 94dB with 1 watt input at 1 M.
So, 3.5 W instead of 1 W would give you a gain, in decibels, of 10 log (3.5/1) = +5.44 dB.
But at 2M vs. 1M, an inverse square relationship of loudness vs. distance would be a useful rough approximation, so loudness at 2M is 1/4 loudness at 1M. So dB change is 10 log(1/4) = -6 dB.
So, net would be 5.44 - 6 dB, or -0.56 dB, so you'd end up with 93.4 dB. Same answer as Frank.
Of course, I assume that speaker loudness is proportional to power input. Strictly speaking, I'm calculating dB gain of 3.5 W over 1 W...that is, power.
How true is this in general, by the way? Are the limits pretty close to speaker distortion becoming tremendous?
That's a good range to consider. Somewhere I have an SPL program, but each time my computer crashes, I lose it. I should just write down the conversions!
"What did the Romans ever do for us?"
3.5W = 5.5dBW Amplifier RMS. Add 3dB for peak power... round up - 9dBW peak. 94dB loudspeaker - both running gives you 94dB in one Watt peak as the listening chair for both speakers - perhaps a little bit more depending on your room. Add 9dBW for the Amplifier clipping point - assuming you don't want your amp to clip. That gives you 103dB peak power - subtract 15dB for typical program crest factor. 88dB RMS level on playback material at the listening seat. Pretty loud for a little amp.
Three most important things in Audio reproduction: Keep the noise levels low, the power high and the room diffuse.
You have just proven that power high is not a requirement when the speaker is sensitive, unless you want rock concert levels. I agree with the other two (low noise and diffuse room that is). I would chose quality power over quantity power anyday (unless you think all amps sound the same).
Right back where you started from .....93 to 94 Db
I have a pair of 8 ohm 96db speakers (no crossover) driven by a ~4-watt 2A3 SET. I've measured 95db peaks with a RS meter in my hands at just about 6 - 7 feet away from the speakers. That's at 75% volume, it may get a little louder than that but I've never turned it louder (never really wanted to). Still sounds pretty good, no obvious distortion.
Hope this helps.
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