• Support PF! Buy your school textbooks, materials and every day products Here!

Average Potential Difference

  • Thread starter ttiger2k7
  • Start date
  • #1
58
0
[SOLVED] Average Potential Difference

1. Homework Statement
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. Homework 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?
 

Answers and Replies

  • #2
454
0
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
 
  • #3
58
0
Hm, I don't understand. Where would you be integrating?
 
  • #4
454
0
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.
 
  • #5
58
0
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.
 

Related Threads for: Average Potential Difference

  • Last Post
Replies
18
Views
1K
Replies
2
Views
6K
Replies
1
Views
1K
Replies
4
Views
6K
Replies
2
Views
2K
Replies
2
Views
4K
Top