{"title":"重测电容矩阵","authors":"I. Smoli'c, B. Klajn","doi":"10.2528/PIERB21011501","DOIUrl":null,"url":null,"abstract":"The capacitance matrix relates the potentials and the charges on a system of conductors. We review and rigorously generalize its properties, block-diagonal structure, inequalities and regularity, deduced from the geometry of the system of conductors and analytic properties of the permittivity tensor. Furthermore, we discuss alternative choices of regularization of the capacitance matrix, which allows us to find the charge exchanged between the conductors having been brought to equal potential. Finally, we discuss the approximations utilized in calculations of the capacitance of capacitors connected in parallel and series.","PeriodicalId":20829,"journal":{"name":"Progress In Electromagnetics Research B","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"CAPACITANCE MATRIX REVISITED\",\"authors\":\"I. Smoli'c, B. Klajn\",\"doi\":\"10.2528/PIERB21011501\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The capacitance matrix relates the potentials and the charges on a system of conductors. We review and rigorously generalize its properties, block-diagonal structure, inequalities and regularity, deduced from the geometry of the system of conductors and analytic properties of the permittivity tensor. Furthermore, we discuss alternative choices of regularization of the capacitance matrix, which allows us to find the charge exchanged between the conductors having been brought to equal potential. Finally, we discuss the approximations utilized in calculations of the capacitance of capacitors connected in parallel and series.\",\"PeriodicalId\":20829,\"journal\":{\"name\":\"Progress In Electromagnetics Research B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Progress In Electromagnetics Research B\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2528/PIERB21011501\",\"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":"Progress In Electromagnetics Research B","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2528/PIERB21011501","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
The capacitance matrix relates the potentials and the charges on a system of conductors. We review and rigorously generalize its properties, block-diagonal structure, inequalities and regularity, deduced from the geometry of the system of conductors and analytic properties of the permittivity tensor. Furthermore, we discuss alternative choices of regularization of the capacitance matrix, which allows us to find the charge exchanged between the conductors having been brought to equal potential. Finally, we discuss the approximations utilized in calculations of the capacitance of capacitors connected in parallel and series.
期刊介绍:
Progress In Electromagnetics Research (PIER) B publishes peer-reviewed original, comprehensive and tutorial review articles on all aspects of electromagnetic theory and applications. It is a new journal in 2008, and freely available to all readers via the Internet. Manuscripts submitted to PIER B must not have been submitted simultaneously to other journals. Authors are solely responsible for the factual accuracy of their articles, and all articles are understood to have received clearance(s) for publication.