{"title":"开导圆柱电容的插补公式","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":"{\"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}","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}
Interpolation formula for the capacitance of an open conducting cylinder
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.