Spatial distribution of the electrostatic field generated by a line charge on a Penrose kiteshaped tile#br#

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  • College of Science, Civil Aviation University of China,Tianjin 300300, China

Received date: 2025-07-02

  Revised date: 2025-08-17

  Online published: 2026-07-11

Abstract

Linear charge, as a classical model of electrostatic fields, holds significant importance in both teaching and research on electrostatic field distributions. Traditional models primarily focus on periodic or regularly geometric line charges, while the Penrose tile provides an ideal model for studying aperiodic line charges. In this paper, we select the Penrose kiteshaped line charge—an aperiodic yet longrange ordered planar tiling structure—to derive the electric field intensity at any arbitrary point in threedimensional space. This derivation is based on the electric field intensity formula for charged line segments and the superposition principle, employing vector field translation combined with rotational operations. The electric field distribution of the kiteshaped line charge is visualized, and the variation patterns along with their physical implications are analyzed. Using an adaptive Simpson′s integration algorithm, the potential distribution of the kiteshaped line charge is calculated. Within the plane containing the kiteshaped structure, equipotential surfaces are densely clustered near vertex regions, while becoming sparsely distributed and parallel to the charged line segments near midpoints of each edge, consistent with the electric field intensity distribution characteristics.

Cite this article

HAO Qinghai, ZHANG Hongyan, CHAO Minglu, TAN Hongge, YANG Xiong . Spatial distribution of the electrostatic field generated by a line charge on a Penrose kiteshaped tile#br#[J]. College Physics, 2026 , 45(4) : 54 . DOI: 10.16854/j.cnki.1000-0712.250342

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