Yeah, sorry missed that. Have the \delta^3 on my paper, just forgot to type it in.
I don't understand how n-D delta functions have a dimension of (length)-n, could you explain that perhaps?
(src: Intro to Electrodynamics, Griffith, Problem 1.46a)
Q: Write an expression for the electric charge density \rho (r) of a point charge q at r^'. Make sure that the volume integral of \rho equals q.
Now, Closest I can seem to come up with is...
Okay, nevermind on this...
Went with a totally different appraoch and things worked out nicely without having to go into spherical coordinates.
Thanks again.
Separation Vector
Let \vec{r} be the seperation vector from a fixed point (\acute{x},\acute{y},\acute{z}) to the source point (x,y,z).
Show that:
\nabla(\frac{1}{||\vec{r}||}) = \frac {-\hat{r}} {||\vec{r}||^2}
Now, I've attempted this comeing from the approach that ||\vec{r}|| =...