# [SOLVED] Average Potential Difference

by ttiger2k7
Tags: average, difference, potential, solved
 P: 58 1. The problem statement, all variables and given/known data The voltage across the terminals of an ac power supply varies with time according to V=V_0\cos(\omega t). The voltage amplitude is V_0 = 46.0 V From the prior question, I already figured out that the root-mean-square potential difference is 32.5. V Question What is the average potential difference V_{{\rm a}{\rm v}} between the two terminals of the power supply? 2. Relevant equations $$V_{rms}=V/\sqrt{2}$$ $$V_{rms}=Vcos(\omega*t+\varphi)$$ 3. The attempt at a solution At first I thought that the average and the rms was the same thing, but now I can't figure it out. Does it involve finding current?
P: 457
 Quote by ttiger2k7 At first I thought that the average and the rms was the same thing, but now I can't figure it out. Does it involve finding current?
The average is just like the rms, except you don't square before integrating and you do not take a square root afterwards. It does noet involve finding current
 P: 58 Hm, I don't understand. Where would you be integrating?
P: 457

## [SOLVED] Average Potential Difference

 Quote by ttiger2k7 Hm, I don't understand. Where would you be integrating?
when calculating the average. How did you calculate V_rms? You integrate over one full period of the AC and divide by the length of the period.
 P: 58 All I did to calculate V_rms was taking V divided by square root of 2, since for any sinusoidally varying quantity the rms value is always $$\frac{1}{\sqrt{2}}$$ the value. I didn't integrate at all.

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