paper

Asymptotic potential of a rose-shaped disk

arXiv:2506.10375 · doi:10.1016/j.elstat.2025.104099

Abstract

Based on extensive numerical evidence, a recent paper (Sheng Chen et al., Eur. J. Phys. {\bf 45} (2024), 045703) suggested that the potential of a uniformly charged rose-shaped disk in the plane of the disk has a simple asymptotic form. We present an analytical proof of this interesting conjecture.

10 pages, 1 figure