| Autor: |
Curtright, T L, Aden, N M, Chen, X, Haddad, M J, Karayev, S, Khadka, D B, Li, J |
| Rok vydání: |
2016 |
| Předmět: |
|
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1088/0143-0807/37/3/035201 |
| Popis: |
This is a survey of the electrostatic potentials produced by charged straight-line segments, in various numbers of spatial dimensions, with comparisons between uniformly charged segments and those having non-uniform linear charge distributions that give rise to ellipsoidal equipotentials surrounding the segments. A uniform linear distribution of charge is compatible with ellipsoidal equipotentials only for three dimensions. In higher dimensions, the linear charge density giving rise to ellipsoidal equipotentials is counter-intuitive --- the charge distribution has a maximum at the center of the segment and vanishes at the ends of the segment. Only in two dimensions is the continuous charge distribution intuitive --- for that one case of ellipsoidal equipotentials, the charge is peaked at the ends of the segment and minimized at the center. |
| Databáze: |
arXiv |
| Externí odkaz: |
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