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Average Potential Difference 
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#1
Apr2208, 08:18 PM

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 rootmeansquare 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 [tex]V_{rms}=V/\sqrt{2}[/tex] [tex]V_{rms}=Vcos(\omega*t+\varphi)[/tex] 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? 


#2
Apr2208, 10:06 PM

P: 456




#3
Apr2208, 10:20 PM

P: 58

Hm, I don't understand. Where would you be integrating?



#4
Apr2208, 10:24 PM

P: 456

Average Potential Difference



#5
Apr2208, 10:35 PM

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 [tex]\frac{1}{\sqrt{2}}[/tex] the value. I didn't integrate at all.



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