{"title":"Interpolation formula for the capacitance of an open conducting cylinder","authors":"John Lekner","doi":"10.1016/j.elstat.2025.104132","DOIUrl":null,"url":null,"abstract":"<div><div>The capacitance of an open conducting cylindrical pipe may be approximated by the arithmetic-geometric mean of <span><math><mrow><mi>π</mi><mi>a</mi></mrow></math></span> and <span><math><mrow><mi>b</mi></mrow></math></span>, where <span><math><mrow><mn>2</mn><mi>a</mi></mrow></math></span> is the cylinder diameter and <span><math><mrow><mn>2</mn><mi>b</mi></mrow></math></span> is its length. The formula correctly incorporates the short and long cylinder limits.</div></div>","PeriodicalId":54842,"journal":{"name":"Journal of Electrostatics","volume":"136 ","pages":"Article 104132"},"PeriodicalIF":1.9000,"publicationDate":"2025-07-08","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/S0304388625001044","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}
引用次数: 0
Abstract
The capacitance of an open conducting cylindrical pipe may be approximated by the arithmetic-geometric mean of and , where is the cylinder diameter and is its length. The formula correctly incorporates the short and long cylinder limits.
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.