- 38

- 1

**1. Homework Statement**

What is the electric field at a point on the central axis of a solid, uniformly charged cylinder of radis R and length h?

**2. Homework Equations**

Well, I've set up the triple integral and have gotten to this point:

[itex]\bar{E}_{z}=\frac{2\pi\rho}{4\pi\epsilon_{0}}\int^{h/2}_{-h/2}[1-\frac{z'-z}{\sqrt{(z'-z)^{2}+R^{2}}}]dz[/itex] , z' is the location of the test point

When I integrate this I get a constant term and a mess of logarithms. I know that the field should be 0 when z' = 0, but it doesn't check out. What's wrong?