{"title":"The electric potential and field of a finite conducting rod, and a conducting disk","authors":"Mohammad Khorrami","doi":"10.1016/j.elstat.2024.103920","DOIUrl":null,"url":null,"abstract":"<div><p>The electric potential and field of a finite conducting rod are calculated. This is done by two methods. In the first, ellipsoidal coordinates are used to solve the Laplace equation outside the rod. In the second, asymptotic behavior of the electric field is used to find the position-dependence of the change density on the rod, which is then used to calculate the potential and field. An analytic continuation is performed to relate this problem to that of a conducting disk. Using this, the electric potential and field of a disk are determined. The charge densities are also calculated.</p></div>","PeriodicalId":54842,"journal":{"name":"Journal of Electrostatics","volume":"129 ","pages":"Article 103920"},"PeriodicalIF":1.9000,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Electrostatics","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0304388624000275","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
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Abstract
The electric potential and field of a finite conducting rod are calculated. This is done by two methods. In the first, ellipsoidal coordinates are used to solve the Laplace equation outside the rod. In the second, asymptotic behavior of the electric field is used to find the position-dependence of the change density on the rod, which is then used to calculate the potential and field. An analytic continuation is performed to relate this problem to that of a conducting disk. Using this, the electric potential and field of a disk are determined. The charge densities are also calculated.
期刊介绍：
The Journal of Electrostatics is the leading forum for publishing research findings that advance knowledge in the field of electrostatics. We invite submissions in the following areas:
Electrostatic charge separation processes.
Electrostatic manipulation of particles, droplets, and biological cells.
Electrostatically driven or controlled fluid flow.
Electrostatics in the gas phase.
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