On the Issue of Calculating the Magnitude of Induced Charges and the Electrostatic Dipole of an Oblate Spheroid with an Axis of Symmetry Collinear to the External Homogeneous Electrostatic Field

N. Yu. Kolbneva
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Abstract

The values of the surface induced charges, the positions of their centers, and the value of the equivalent dipole of an oblate conducting spheroid are determined by transition from spheroidal coordinates to a spherical system of coordinates in the analytical asymptotic calculations of the first order of smallness with respect to the squared eccentricity. The characteristics of the equivalent dipole are obtained depending on the value of the electrostatic field strength, squared eccentricity, and the radius of an equal sphere.

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关于计算对称轴与外部均质静电场平行的扁球体的感应电荷量和静电偶极子的问题
摘要在对偏心率平方的一阶小的解析渐近计算中,通过从球坐标系到球坐标系的转换,确定了一个扁圆导电球的表面感应电荷的值、电荷中心的位置和等效偶极子的值。等效偶极子的特性取决于静电场强度、偏心率平方和等球半径的值。
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来源期刊
Surface Engineering and Applied Electrochemistry
Surface Engineering and Applied Electrochemistry Engineering-Industrial and Manufacturing Engineering
CiteScore
1.60
自引率
22.20%
发文量
54
期刊介绍: Surface Engineering and Applied Electrochemistry is a journal that publishes original and review articles on theory and applications of electroerosion and electrochemical methods for the treatment of materials; physical and chemical methods for the preparation of macro-, micro-, and nanomaterials and their properties; electrical processes in engineering, chemistry, and methods for the processing of biological products and food; and application electromagnetic fields in biological systems.
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