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均匀带电球面外部和内部的电场强度可以用高斯定理很方便地求出,但是其表面的电场强度却没有定义,这是因为球面是理想的无厚度的几何面.在利用电场强度叠加原理、孤立球面电容器模型计算其表面的电场强度时,会得到此处场强为球面内外场强平均值的结论,这是因为忽略了场点处的面电荷微元,同时也是电场强度在间断点收敛于左右极限平均值的结果。计算表面场强时球面模型已经不适用,可以考虑同心空腔球体模型。
The electric field strength outside and inside the uniformly charged spherical surface can be easily calculated by the Gauss theorem, but the electric field strength of the surface is not defined because the spherical surface is an ideal non-thickness geometric surface. In the principle of superposition of electric field strength, When calculating the electric field strength of the surface by the spherical capacitor model, we can get the result that the field strength is the average value of the field strength inside and outside the sphere. This is because the surface charge at the field point is neglected and the electric field strength converges to The result of the left and right limit averages. When calculating the surface field strength spherical model is not applicable, you can consider the concentric cavity sphere model.