the root mean square of a voltage waveform corresponds to the AC voltage and the average corresponds to the DC voltage, but why is this so? In short, why does rms = ac and ave = dc?
here is a piece of the article on rms from wikipedia.org: http://en.wikipedia.org/wiki/Root_mean_square
I don't know how to connect this info to answer my question can anyone explain in a simpler way?...
here is a piece of the article on rms from wikipedia.org: http://en.wikipedia.org/wiki/Root_mean_square
Relationship to the arithmetic mean and the standard deviation
Ifis the arithmetic mean andis the standard deviation of a population or a waveform then:[3]
From this it is clear that the RMS value is always greater than or equal to the average, in that the RMS includes the "error" / square deviation as well.
Physical scientists often use the term "root mean square" as a synonym for standard deviation when referring to the square root of the mean squared deviation of a signal from a given baseline or fit.[4] [5] This is useful for electrical engineers in calculating the "AC only" RMS of a signal. Standard deviation being the root mean square of a signal's variation about the mean, rather than about 0, the DC component is removed (i.e. RMS(signal) = Stdev(signal) if the mean signal is 0).
I don't know how to connect this info to answer my question can anyone explain in a simpler way?...