{"title":"The Electric Force Between Two Straight Parallel Resistive Wires Carrying DC-Currents in the Asymptotic Limit of Infinitely Thin Wires","authors":"Udo Ausserlechner","doi":"arxiv-2407.02541","DOIUrl":null,"url":null,"abstract":"During the years 1948-2019 the ampere was defined via the magnetic force\nbetween two long thin parallel wires carrying stationary current. However, if a\nstationary current flows through a resistive wire, static electric charges\nappear on the surface of the wire, and this will lead to an additional electric\nforce between the wires. This article discusses the ratio of electric over\nmagnetic forces in the asymptotic limit of infinitely thin wires, which is not\naccessible by numerical methods. The electric force between the two wires\ndepends also on the choice of the common ground node. For extremely thin or\nextremely long resistive wires the electric force dominates over the magnetic\none.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"33 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Classical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.02541","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
During the years 1948-2019 the ampere was defined via the magnetic force
between two long thin parallel wires carrying stationary current. However, if a
stationary current flows through a resistive wire, static electric charges
appear on the surface of the wire, and this will lead to an additional electric
force between the wires. This article discusses the ratio of electric over
magnetic forces in the asymptotic limit of infinitely thin wires, which is not
accessible by numerical methods. The electric force between the two wires
depends also on the choice of the common ground node. For extremely thin or
extremely long resistive wires the electric force dominates over the magnetic
one.
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