- #1
S. Moger
- 53
- 2
Homework Statement
Solve the poisson eq. on R with a source in x=0.
The Attempt at a Solution
I haven't done this kind of thing in years, so I'm a bit rusty, but I think that this is requested:
[itex] \Delta \phi = - \rho \delta(x)[/itex] (Edit: no wait, I need an integral here).
It doesn't seem to be a big deal. I just integrate both sides on R.
[itex] \frac{\partial\phi}{\partial x} = - \rho \int \delta(x) dx + A[/itex]
And again
[itex] \phi = - \rho x + Ax + B[/itex]
However, the key wants me to realize that the answer really is this (they seem to use q instead of rho):
[itex] \phi = - \frac{1}{2} q |x| + Ax + B[/itex]
But why? Am I doing some illegal operation here?