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Article #1476Re: Electromagnetic Wave Question
From: J. E. Hetrick
Date: Wed, 18 May 1994 20:15
Date: Wed, 18 May 1994 20:15
32 lines
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2223 bytes
-*- Thus Spake George Spagna:
In article <gspagna.172.769273076@rmc.edu> gspagna@rmc.edu (George Spagna) writes:
>> ...
>> Every book I have consulted shows E and B in phase, but this
>> doesn't make sense if the derivative of the electric field gives
>> the magnetic field (Faraday's Law). What's the deal?
george> They are in phase (assuming a plane wave for now). I think
george> your confusion is between Maxwell's equations (directly
george> relating "source" terms - source of E is -dB/dt, source of B
george> is dE/dt) and the "wave equation" which involves second
george> derivatives.
I don't mean to belabor the point, but it is crucial that Maxwell's
eqs. in the absence of sources (ie. currents j) are [c=1]:
curl E = -d/dt B
curl B = d/dt E
These curls are VERY necessary to this problem. Without these two eqs.
being linear in d/dx,... AND d/dt derivatives, there's no getting to the
above mentioned wave eq. which is quadratic in both derivatives:
d^2/dt^2 - d^2/dx^2 B (or E) = 0.
The source of _curl_ E is -d/dt B in a plane wave.
Groetjes, --Jim
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James E. Hetrick Institute for Theoretical Physics
hetrick@phys.uva.nl University of Amsterdam
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 16cfd8,6c7e1abd9dc00ead X-Google-Attributes: gid16cfd8,public X-Google-ArrivalTime: 1994-05-18 18:54:44 PST Path: arc1-ca.pugleaf.net!bga.com!news.sprintlink.net!demon!bt!uknet!pipex!sunic!trane.uninett.no!eunet.no!nuug!EU.net!sun4nl!news.nic.surfnet.nl!news.sara.nl!news.sara.nl!hetrick Newsgroups: bit.listserv.physhare Subject: Re: Electromagnetic Wave Question Message-ID: <HETRICK.94May18221553@gauge.phys.uva.nl> From: hetrick@gauge.phys.uva.nl (J. E. Hetrick) Date: 18 May 1994 20:15:53 GMT Reply-To: hetrick@phys.uva.nl References: <Pine.3.89.9405131120.B18178-0100000@bvsd.k12.co.us><gspagna.172.769273076@rmc.edu> Distribution: world Organization: Institute for Theoretical Physics, Amsterdam, the Netherlands Nntp-Posting-Host: gauge.phys.uva.nl In-reply-to: gspagna@rmc.edu's message of Wed, 18 May 1994 14:57:56 GMT Lines: 32