Yup. Totally.
I think
@VonMagnum is on the same page too, as he was using time as the basis for underlining the difference between RMS and PMPO-type (aka peak power, aka IHF, aka music power) measurements.
In those latter cases, the amplitude of the sine wave is measured over a short period of time (eg. 50 ms burst). This allows the power stage or gain stage of the amp to cope better than if it were asked to sustain that gain over a longer time domain (as would be the case if one measured output using the RMS method). It might also allow overshoot to be considered as the peak of the sine wave... but I don't know this for certain.
Yes, to all, but. we can just see if the RMS power terminology is correct or not without invoking an amp, signal duration or anything.
RMS is a function calculation, derivatives. Sine wave on a paper can be stated to have an RMS value based on a peak value as that goes hand in hand.
One can plot the power sine wave from that example above, 10V RMS and 14.14V peak and same current.
That will produce a peak of power of 200W. What is called RMS power incorrectly would have to be RMS of that 200W which it is not since the real power from the RMS E and I is 100W.
That is my beef, the nomenclature, not when it clips, how much, what distortions, music power or something else. Since RMS is a continuous unit, so is power and from the numbers it has to be average.
But, one can call it whatever, the numbers calced is the same.
