{"title":"一种变形电容器与RC暂态电路","authors":"H. Sarafian","doi":"10.1109/ICCSA.2010.28","DOIUrl":null,"url":null,"abstract":"We consider an RC-series DC driven electric network. We envision the capacitor C is a parallel-plate capacitor with a pair of elliptical plates. We apply a set of transformations mapping the ellipses gradually and continually into their corresponding rectangles; this makes the capacitor time-dependent, C(t). We analyze the impact of the shape-shifting capacitor on the corresponding RC(t) transient circuit. Applying Mathematica [1] animation we display the morphing capacitor adjacent to its corresponding characteristic signals. Utilizing the embedded Mathematica code also we display the transient electric signals of a morphing capacitor while it is being mutated from a circular disk into a set of exotic configurations.","PeriodicalId":405597,"journal":{"name":"2010 International Conference on Computational Science and Its Applications","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A Morphing Capacitor and an RC Transient Electric Circuit\",\"authors\":\"H. Sarafian\",\"doi\":\"10.1109/ICCSA.2010.28\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider an RC-series DC driven electric network. We envision the capacitor C is a parallel-plate capacitor with a pair of elliptical plates. We apply a set of transformations mapping the ellipses gradually and continually into their corresponding rectangles; this makes the capacitor time-dependent, C(t). We analyze the impact of the shape-shifting capacitor on the corresponding RC(t) transient circuit. Applying Mathematica [1] animation we display the morphing capacitor adjacent to its corresponding characteristic signals. Utilizing the embedded Mathematica code also we display the transient electric signals of a morphing capacitor while it is being mutated from a circular disk into a set of exotic configurations.\",\"PeriodicalId\":405597,\"journal\":{\"name\":\"2010 International Conference on Computational Science and Its Applications\",\"volume\":\"23 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-03-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Conference on Computational Science and Its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCSA.2010.28\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Computational Science and Its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCSA.2010.28","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Morphing Capacitor and an RC Transient Electric Circuit
We consider an RC-series DC driven electric network. We envision the capacitor C is a parallel-plate capacitor with a pair of elliptical plates. We apply a set of transformations mapping the ellipses gradually and continually into their corresponding rectangles; this makes the capacitor time-dependent, C(t). We analyze the impact of the shape-shifting capacitor on the corresponding RC(t) transient circuit. Applying Mathematica [1] animation we display the morphing capacitor adjacent to its corresponding characteristic signals. Utilizing the embedded Mathematica code also we display the transient electric signals of a morphing capacitor while it is being mutated from a circular disk into a set of exotic configurations.
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