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相切介质双球静电问题的解析解及其在尖端效应中的运用

Analytic Solutions to the Electrostatic Problem of Two contacting Dielectric Spheres and Its Application in the Study of Corona Effect
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摘要 本文利用逆矢径保角变换求解了相切介质双球静电问题。给出了在位于对称轴上点电荷激励下或在轴向方向均匀外场激励下的空间位分布的解析表达式,并导出了无穷大金属平板上介质球顶端最大电场强度,在金属球情况下,本文结果与已有结果一致。 In this paper the electrostatic problem of two contacting dielectric spheres is solved analytically with the aid of inversion comformal transformation. The analytic expressions for the potential distributions due to a unit point charge positioned on the symmetric (?)xis or a uniform external field along the direction of symmetric axis are obtained. From this general expression, a simple expression of the field intensity at the apex of the dielectric sphere resting on conducting plane is derived, which is in agreement with the previous results in the case of conducting sphere.
作者 金航 林为干
出处 《通信学报》 EI CSCD 北大核心 1990年第6期22-28,共7页 Journal on Communications
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