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Old 12-10-2002, 11:12 AM
BruceZ BruceZ is offline
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Join Date: Sep 2002
Posts: 1,636
Default rms average

Here's an everyday example of rms average. In the US we say the AC coming from your wall is 120 volts. This is a sine wave, but if we measured the amplitude we would see it actually goes up to a peak of 170 volts. The 120 volts is an rms average. It is the result of integrating [170*sin(x)]^2 over a period of 2*pi, dividing by 2*pi, and taking the square root. This is the square root of the average of the squares of all the amplitudes which turns out to be 170/sqrt(2) = 120 rms. It will produce the same power as a constant DC voltage of 120 volts. It is not the same as the average excursion from 0 ignoring sign, which turns out to be 170*2/pi = 108 volts.
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