等效思想在静电学中的一个应用

AN APPLICATION OF EQUIVALENT THOUGHT IN ELECTROSTATICS

本文利用均匀极化的电介质球周围的电场与自由的余弦型球面电荷周围的电场完全等效这一思想,证明了带有余弦型球面电荷分布的电介质球壳发生均匀形变时,其内部的电场始终保持为方向恒定的均匀场,并进一步求出了带电球壳内电场强度和形变之间的关系.

In this paper,by using the thought that the electric field around the uniform polarized dielectric ball is completely equivalent to the field around the cosine type spherical charge,we proved a strange phenomenon,which is the internal electric field of a dielectric spherical shell always maintained a homogeneous field with constant direction when the uniform deformation occurred on the dielectric spherical shell with cosine type spherical charge distribution.Then we further calculated the relationship between electric field intensity and the deformation.