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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Weber electrodynamics ： ウィキペディア英語版 Weber electrodynamics Weber electrodynamics is an alternative to Maxwell electrodynamics developed by Wilhelm Eduard Weber. In this theory, Coulomb's Law becomes velocity dependent. The theory is widely rejected and ignored by contemporary physicists, and is not even mentioned in mainstream textbooks on classical electromagnetism. ==Mathematical Description== According to Weber electrodynamics, the force (F) acting simultaneously on point charges $q\_1$ and $q\_2$, is given by $\backslash mathbf\; =\; \backslash frac\backslash left(1-\backslash frac+\backslash frac\backslash right)$ where $\backslash mathbf$ is the vector connecting $q\_1$ and $q\_2$, the dots over $r$ denote time derivatives and $c$ is the speed of light. In the limit that speeds and accelerations are small (i.e. $\backslash dot\backslash ll\; c$), this reduces to the usual Coulomb's law. This can be derived from the potential energy $U\_\; =\; \backslash frac\backslash left(1-\backslash frac\backslash right)$ This can be contrasted with the approximate potential energy from Maxwellian electrodynamics (where $v\_1$ and $v\_2$ are the velocities of $q\_1$ and $q\_2$, respectively):〔 $U\_\; =\backslash frac\backslash left(1-\backslash frac+(\backslash mathbf\backslash cdot\backslash mathbf\backslash cdot\backslash mathbf\backslash right)$ (This only includes terms up to order $(v/c)^2$ and therefore neglects relativistic and retardation effects; see Darwin Lagrangian.) Using these expressions, the regular form of Ampere's law and Faraday's law can be derived. Importantly, this theory does not predict an expression like the Biot–Savart law and testing differences between Ampere's law and the Biot–Savart law is one way to test Weber electrodynamics. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Weber electrodynamics」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.