Hi there
Hope everyone is safe and well. Suggest some caution regarding covid, but that's off topic.
So, say I have 92 dB/W/m speakers (3 to 8 nominal ohm impedance speakers)
about 1m from each speaker in a stereo pair is the listening and measuring position.
amplifier is IN THE END (effectively) producing about 88db of sound before distortion. It's warmed up.
amp has RCA in and fed by 2.25V RMS output of DAC/pre. Might be a little hot, but it's close to 2v RMS.
DAC/pre is maxed and is showing about -1db on the meters peak, maybe upto 0 (max)
let's try an intellectual exercise. You're building the first amp ever. You have to prove it's max output and it's as described above.
Is it ACTUALLY LESS THAN A WATT?
I'm shook.
(PS I have an update to this post but I think this is something that is worth asking stand alone!)
A few thoughts:
(a) How confident are you that your speakers produce 92dB from 1 watt at 1 metre? Manufacturers claims about sensitivity are often optimistic, and 92 dB/w is very high. Few speakers can actually achieve this, and the ones that can (without sacrificing bass extension) will be large. It's possible that the spec is wrong, therefore. Let's assume, for the sake of argument, that your speakers only actually produce 88 dB from 1 watt at 1 metre. That's still above average, as someone else has pointed out.
(b) The impedance spec you quote is odd - a 'nominal' figure is usually a single number, not a range. Leaving that aside, it's safe to assume that the 92 dB claimed by the manufacturer (which may only be 88dB in reality) is for an "8 ohm" watt i.e. a voltage of 2.83 V RMS. If your speakers present a 3 ohm load at some frequencies, as the spec indicates, then the amplifier will have to supply something like 2.7 watts in order to generate that output.
(c) If 3 to 8 ohms is the 'nominal impedance', the minimum impedance could be less than 3 ohms, and the power required could be greater again.
Also, speakers often present a reactive load, which means they draw more current than you'd expect, given the impedance curve. Taking both these points into account, it's possible that your speakers draw something like 5 watts in practice, in order to output 88 dB at 1 metre.
(d) Incidentally, are you really listening from 1 metre? That's very short - real near-field listening. If so, you will need less power than most.
(e) Crest factor is a big issue. As others have said, some music might have peaks 20 dB above the mean level. However rock/pop may have a mean level only 3 or 4 dB below the max peak level. Assuming you want to listen to a range of music, you certainly need to allow something like 10 dB. Your 5 watt amplifier requirement goes up to 50 watts. You might get away with a bit less, I suppose. You're presumably listening in stereo, not mono, for one thing, and (depending on your amp) you might be able to tolerate a little clipping without much audible loss. Will 15 watts be enough? Hard to say, but I doubt it. (Having said that, if your amp is solid state, and is specified at 15 watts into 8 ohm, and has a stiff enough power supply that it can cope with sub 3 ohm loads, then it will probably be OK.)
However, if you want to be able to reach peak levels around 110 dB, you can add another 10 dB (or more) - so your amplifier requirement goes up to 500 watts.
(And if you decide, one day, to take the system into a bigger room where you listen from 3 metres away, you might need over 1000 watts to get those 110 dB peaks. Your voice coils might release some 'magic smoke' before then, though.)