Amir already shows both noise at a fixed power output (5W) and at maximum output. The noise at an arbitrary output can be obtained using the two. The amount of noise in uV or nV at 5W is the same as amount of noise at 50W. The "fair fight" you mention is already being done with SNR measurement at maximum output.
Why can't you get the information you want from plots like this one which are in (almost) all amplifier reviews?
This is SINAD vs power curve. It includes both noise and distortion components. It does not show only noise vs power.
When the graph continuously goes down from left to right, that is the region where noise bottlenecks performance. When it starts moving up, that's where distortion bottlenecks performance. Or as the author describes the red curve, distortion sets in at 0.1W.
But yea it's true, as long as the reader targets the region where noise dominates (which should be the case for all good amps), noise comparison can be made between two amps.
That's fair! I guess it just seems like there's some expectation that big amps will perform the same as smaller ones, when that's generally not possible from a physics standpoint, if you're starting from the same input sensitivity. Front loading the 5w measurement (and using in the ranking charts) and burying commentary on the full power performance would seem to reinforce this and give an unnecessarily negative impression of the amp under test.
It may very well be the amp sucks for doing 5W, but it might be a great amp for doing something else.
I want to say that it should be common knowledge (or sense) that bigger amps will be more noisy and draw more power for the reasons that you said. I mean we also know the difference between a class AB headphone amp and speaker amp. 150mW amp vs 15W amp is as big a difference as a 15W vs 1500W amp.
But at the same time, there is an undeservedly long thread where people complain that speaker amps with high max output consume more idle power than speaker amps with low max output...
But hey that's a good thing, it shows this website is having traffic from all walks of life
Ah right sorry, V=Sqrt(P*R) so for fixed ohms you get 3.162 = sqrt(10) for a 10X power increase.
And since V=I*R you get the same for current
The dB in audio is almost always unarguably referring to power. While dB is really just a ratio of two quantities which can be any unit of measurement, in the audio context it is always with respect to power. Even when we want to compare two voltages, for example 2V vs 1V, the difference is 6dB. But compare two powers, 2W vs 1W, the difference is 3dB. Yea audio is weird.