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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 Magnetic radiation reaction force ： ウィキペディア英語版 Magnetic radiation reaction force In the physics of electromagnetism, one can derive an electric radiation reaction force for an accelerating charged particle caused by the particle emitting electromagnetic radiation. Likewise, a magnetic radiation reaction force can be derived for an accelerating magnetic moment emitting electromagnetic radiation. Similar to the electric radiation reaction force, three conditions must be met in order to derive the following formula for the magnetic radiation reaction force. First, the motion of the magnetic moment must be periodic, an assumption used to derive the force. Second, the magnetic moment is traveling at non-relativistic velocities (that is, much slower than the speed of light). Finally, this only applies to the realm of classical physics. Since the magnetic moment is proportional to velocity, this force is proportional to the fifth derivative of the position as a function of time (sometimes somewhat facetiously referred to as the "Crackle"). Unlike the Abraham–Lorentz force, the force points in the direction opposite of the "Crackle". == Definition and description == Mathematically, the Abraham–Lorentz force is given by: ::$\backslash mathbf\_\backslash mathrm\; =\; -\backslash frac\; \backslash frac$ (SI units) where: :F is the force, :$\backslash frac$ is the Pop (the third derivative of acceleration, or the fifth derivative of displacement), :(μ0 ) is the permeability of free space, :(''c'' ) is the speed of light in free space〔The symbol ''c''0 is used by CIPM and NIST.〕 :''q'' is the electric charge of the particle. :''R'' is the radius of the magnetic moment Note that this formula applies only for non-relativistic velocities. Physically, a time changing magnetic moment emits radiation similar to the Larmor formula of an accelerating charge. Since momentum is conserved, the magnetic moment is pushed in the direction opposite the direction of the emitted radiation. In fact the formula above for radiation force can be ''derived'' from the magnetic version of the Larmor formula, as shown below. 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「Magnetic radiation reaction force」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.