Average value of AC over a complete cycle is always zero

1. Jan 17, 2009

atavistic

1. The problem statement, all variables and given/known data

Statement 1: Average value of AC over a complete cycle is always zero.
Statement 2: Average value of AC is always defined over half cycle.

We need to tell whether these two statements are right, and if 1 is right then whether 2 is its explanation.

2. Relevant equations
Well arithmetic mean = integral f(x)dx/ integral dx
root mean sqaure = root( integral f(x)^2 dx/ integral dx)

3. The attempt at a solution

I think both are false since it depends upon the type of mean we are taking. Arithmetic would be zero and root mean square non zero. And I think we take mean over complete cycle only. But my answer is wrong.

Last edited by a moderator: Jul 15, 2014
2. Jan 17, 2009

atavistic

Re: Ac

Is this the right place to post this?

3. Jan 17, 2009

Re: Ac