{"title":"板式为圆弧的冷凝器的容量","authors":"Dmitrii Karp","doi":"10.1080/02781070412331331464","DOIUrl":null,"url":null,"abstract":"We find an asymptotic formula for the conformal capacity of a plane condenser both plates of which are concentric circular arcs as the distance between them vanishes. This result generalizes the formula for the capacity of parallel linear plate condenser found by Simonenko and Chekulaeva (1972). On a capacity of a condenser consisting of infinite bands, Izv. Vyssh. Uchebn. Zaved. Elektromekh., 4, 362–370 (in Russian) and sheds light on the problem of finding an asymptotic formula for the capacity of condenser whose plates are arbitrary parallel curves. This problem was posed and partially solved by R. Kühnau (1998). Randeffekten beim elektostatischen Kondensator, Zap. Nauchn. Semin. POMI, 254, 132–154.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Capacity of a condenser whose plates are circular arcs\",\"authors\":\"Dmitrii Karp\",\"doi\":\"10.1080/02781070412331331464\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We find an asymptotic formula for the conformal capacity of a plane condenser both plates of which are concentric circular arcs as the distance between them vanishes. This result generalizes the formula for the capacity of parallel linear plate condenser found by Simonenko and Chekulaeva (1972). On a capacity of a condenser consisting of infinite bands, Izv. Vyssh. Uchebn. Zaved. Elektromekh., 4, 362–370 (in Russian) and sheds light on the problem of finding an asymptotic formula for the capacity of condenser whose plates are arbitrary parallel curves. This problem was posed and partially solved by R. Kühnau (1998). Randeffekten beim elektostatischen Kondensator, Zap. Nauchn. Semin. POMI, 254, 132–154.\",\"PeriodicalId\":272508,\"journal\":{\"name\":\"Complex Variables, Theory and Application: An International Journal\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-02-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Variables, Theory and Application: An International Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/02781070412331331464\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables, Theory and Application: An International Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/02781070412331331464","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Capacity of a condenser whose plates are circular arcs
We find an asymptotic formula for the conformal capacity of a plane condenser both plates of which are concentric circular arcs as the distance between them vanishes. This result generalizes the formula for the capacity of parallel linear plate condenser found by Simonenko and Chekulaeva (1972). On a capacity of a condenser consisting of infinite bands, Izv. Vyssh. Uchebn. Zaved. Elektromekh., 4, 362–370 (in Russian) and sheds light on the problem of finding an asymptotic formula for the capacity of condenser whose plates are arbitrary parallel curves. This problem was posed and partially solved by R. Kühnau (1998). Randeffekten beim elektostatischen Kondensator, Zap. Nauchn. Semin. POMI, 254, 132–154.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
