- #1
AxiomOfChoice
- 533
- 1
Can someone tell me how to express a line of charge of charge per unit length [tex]\lambda[/tex] as a delta function volume charge density in cylindrical coordinates?
Ok, here's my guess:
[tex]
\rho(\vec{r}') = \frac{1}{a}\lambda \delta(r' - a) \delta (\phi' - \phi_0).
[/tex]
Assuming that the line of charge is infinite, parallel to the [itex]z[/itex]-axis, a distance [itex]a[/itex] from the origin, and at an angle [itex]\phi = \phi_0[/tex] w.r.t. the [itex]x[/itex]-axis. Sound good?