No. Definitely no.so RMS is pure sine wave??
waynah said:Any voltage profile can be integrated or averaged over time, but only for certain waveforms, including sine, would you technically call this a root-mean-square.]/quote]
Huh? Unless you mean that the crest factor limits accuracy of some methods which it does.
Technically the average of a sine wave is a big fat zero.
No Biggie: Root = square root. Mean = another name for average; Square - like x^2
So, RMS is the square root of the square of the average voltage.
We all know that the average of say 12 is 12. and that the sqrt(12^2) is 12. so that;s how the RMS of 12 becomes 12.
now for a sine wave it's more difficult 1/(b-a)/2 * integral of then sin(wt) from 0 to PI; a= PI and b = 0.
Which is the definite integral or area under the curve evaluated at between the two endpoints divided by 2.
A non TRMS essentially precision rectifies which is like squaring and a capacitor filter is like averaging, so you get something like ave(k*v(t)^2) where k makes the sin wave read RMS. The input is also AC coupled.
Maybe this will help: http://en.wikipedia.org/wiki/True_RMS_converter
Correction:So, RMS is the square root of the square of the average voltage.
True: square of the average voltage = Ave(v(t))^2 ≠ RMS^2(square of the average voltage) = (Ave(v(t))^2 = average of the voltage squared
Same difference.
Now put the sqrt on the outside.