# Charge Density (rod)

1. Feb 26, 2007

### jesuslovesu

Never mind, i got it, whew

1. The problem statement, all variables and given/known data
http://img137.imageshack.us/img137/6250/chargqg0.th.jpg [Broken]
The rod has a nonuniform charge density lambda = ax (a is a positive constant). Find electric potential at point A.
2. Relevant equations
V = kq/r
E = kqq/r^2
V = -$$$\int_a^b E dot dr$$$

3. The attempt at a solution
I am pretty close to the answer, I'm just not quite there.
If I'm not mistaken it is something like:
$$\[ \int_d^{L+d} kax*r/r^2\,dr$$
but I'm not quite sure what to do with the 'x', from the answer, I know that it has to end up being the integral of 1/r, so x can't be r because it would end up being just the integral of dr

Maybe the limits are incorrect?

Last edited by a moderator: May 2, 2017
2. Feb 24, 2008

### Gianna_07

Hi! I have a similar problem...

A rod of length L lies along the y-axis with its center at the origin. The rod has a nonuniform linear charge density lambda =a | y | , where a is a constant with the units {\rm C}/{\rm m}^{2} . Determine the constant a in terms of L and the rod's total charge Q.

I know that for uniform charge its lambda=L*Q and then integrate but what do I do in this case?

Thanks!