In the first link the author basically says that RMS Power = Average Power. This, of course, is incorrect in the strictest sense, since taking the root-mean-square of the power will not equal the average power. But then he goes on to say that “RMS power is the power you get when you use a true RMS voltmeter.” I understand what he’s saying, but why not just call it average power and leave it at that?
Suffice to say, no one calculates the root-mean-square of a power signal, which is why you should never use the term “RMS power."
In the second link the author is talking about RMS voltage, RMS current, average voltage, and average current (not average power). These are all valid quantities, but average voltage and average current can be quite confusing.
Let’s say we have a voltage signal that looks like a sine wave. Let’s also say there is no DC component, which is usually the case. Examples include a sine wave on the output of an audio amplifier and the 120 VAC at your outlet.
Question: What’s the average voltage?
Answer: Zero.
Question: Does this mean the power equals zero?
Answer: No. If you connect a load, and the load has an impedance w/ a resistive component, then you will get positive power. This is true even though the average voltage is zero.
Question: I’m confused. How can that be?
Answer: Because a resistive load doesn’t care about polarity, and it doesn’t care about current direction. As long as there is voltage & current, the resistor will be dissipating power, no matter what the directions are. (When the voltage is positive, the resistor will dissipate power. When the voltage is negative, the resistor will dissipate power. The resistor doesn’t know and doesn’t care about polarity.)
Question: I’m still confused.
Answer: That’s probably because average voltage doesn’t have a lot of meaning. Think about it: 99.999999% of the time, the voltage is not at zero, right? And during this time, the load is dissipating power. So although the mathematical average may be zero, the voltage is at some value other than zero 99.999999% of the time.
Question: O.K., I understand that the average voltage is zero, and that average power is not zero. But why does it say that the average voltage is 0.637peak?
Answer: Because they’re trying to confuse you! Actually, here’s their reasoning: Let’s say you put a voltage sine wave on a resistor. If you look at the voltage on an oscilloscope, you will see alternating positive swings and negative swings. But guess what? The resistor doesn’t know the difference! For all it knows, all of the swings are positive. So even though the oscilloscope shows alternating positive and negative swings, you should pretend that the negative swings are really positive. (It would look like a train of humps, like you would find on the back of a dinosaur.) Now calculate the average voltage… you’ll find that it’s 0.637peak.
Question: O.K. I understand. So this average voltage can be used to calculate average power?
Answer: No! By definition, RMS voltage is used to calculate power, not average voltage.
Question: So why calculate average voltage?
Answer: I don’t know. I’ve never really had to use it for anything, but I’m sure someone has. I ignore it for the most part.