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Article #635Re: Electrons and e-m waves (Boy, I feel stupid...).
From: Johan Wevers
Date: Tue, 04 Aug 1992 09:43
Date: Tue, 04 Aug 1992 09:43
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2064 bytes
In article <1992Aug3.032445.22653@ucsu.Colorado.EDU> knapp@spot.Colorado.EDU (David Knapp) writes: >In article <1992Aug3.015927.26752@ccu.umanitoba.ca> ummackse@ccu.umanitoba.ca (Chris Macksey) writes: > >>Is there a formula for the energy of the produced e-m wave, given the >>acceleration of the electron? If so, what is it? (I almost saw a dozen >>or so replies saying simply "Yes, there is.". ;) ) >>Also, while I'm at it... If an electron is _continuously_ accelerated, >>how often is an e-m wave produced? Constantly? > >There *is* a forumula, and it would be one hell of a pain in the ass to try >to type it in. Even the non-relativistic forumula took a week for us to derive >in class. If you really need it, write me and I'll send you reference. The formule for the emitted energy is not that difficult (when we neglect retardation); in SI-units it is: dW Q^2 a^2 -- = ------------------ dt 6 pi c^3 epsilon_0 (source: Alonso-Finn - Fundamental physics, part 3, Dutch translation). *********************************************************************** * J.C.A. Wevers * _\ /e+ _\ _ /e+ * * johan@stack.urc.tue.nl * 1 u \ X / d \ X / 2 * ************************** P=-| >---< + >---< + ......| * * Physics is really all * N / \ / \ * * there exists. Me. * /d u\ /u d \ * ***********************************************************************
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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!sun4nl!tuegate.tue.nl!blade!johan From: johan@blade.stack.urc.tue.nl (Johan Wevers) Newsgroups: sci.physics Subject: Re: Electrons and e-m waves (Boy, I feel stupid...). Keywords: electron photon electromagnetism Message-ID: <4951@tuegate.tue.nl> Date: 4 Aug 92 09:43:30 GMT References: <1992Aug3.015927.26752@ccu.umanitoba.ca> <1992Aug3.032445.22653@ucsu.Colorado.EDU> Sender: root@tuegate.tue.nl Organization: MCGV Stack, Eindhoven University of Technology, the Netherlands. Lines: 30