关键词: 风筝形线电荷, 电场强度分布, 矢量场平移旋转, 叠加原理, 电势分布

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.

Key words:  kiteshaped line charge, electric field strength distribution, vector field translation and rotation, superposition principle, electric potential distribution