{"title":"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","authors":"N. Yu. Kolbneva","doi":"10.3103/S106837552306011X","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":782,"journal":{"name":"Surface Engineering and Applied Electrochemistry","volume":"59 6","pages":"734 - 741"},"PeriodicalIF":0.9000,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"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\",\"authors\":\"N. Yu. Kolbneva\",\"doi\":\"10.3103/S106837552306011X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>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.</p>\",\"PeriodicalId\":782,\"journal\":{\"name\":\"Surface Engineering and Applied Electrochemistry\",\"volume\":\"59 6\",\"pages\":\"734 - 741\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-12-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Surface Engineering and Applied Electrochemistry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.3103/S106837552306011X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Surface Engineering and Applied Electrochemistry","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S106837552306011X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
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
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.
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.