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The charge distribution on a conductor for non-Coulombic potentials
American Journal of Physics -- April 2001 -- Volume 69, Issue 4, pp. 435-440
Issue Date: April 2001
We study the distribution of charge on a conductor for Yukawa (eµr/r) and power-law (1/rn) potentials. In the Yukawa case some charge goes to the surface, while the remainder distributes uniformly over the volume. In the power-law case no such general result is available, but we obtain the distribution for spheres, cylinders, and slabs, on the range 1
n
3. In the Coulomb limit (n = 1) the charge all goes to the surface; at the other extreme (n = 3) it distributes uniformly over the volume. ©2001 American Association of Physics Teachers.
n
3. In the Coulomb limit (n = 1) the charge all goes to the surface; at the other extreme (n = 3) it distributes uniformly over the volume. ©2001 American Association of Physics Teachers.
| History: | Received 11 July 2000; accepted 31 October 2000 |
| Permalink: | http://dx.doi.org/10.1119/1.1339279 |







