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I am also pleased that the present generation are using up to date
material and not the books of 50 years ago where those taught at that time all was thought to be known and all change was resisted. Art, I am not sure what you mean. This material has not changed in over 100 years. To quote from Ida's text, pp 731, 732: "Based on the inroduction of the displacement currents in Ampere's law, Maxwell predicted the existence of propagating waves, a prediction that was verified experimetally in 1888 by Heinrich Hertz. This prediction was based on the nature of the equations one obtains by using Maxwell's equations. We will show here that Maxwell's equations result, in general, in wave equations". This proof is shown in "Example 12.3", which is posted on my previously referenced web link: http://www3.telus.net/nighttrainexpress/maxwell_1.htm Unless you can show, by manipulation of Maxwell's equations, that it is possible to obtain a 2nd order partial differential equation where the independant variable is time; what is the point? I should also note that a course I took in electromagetics (About 1983) has an almost identical development of a wave equation. For reference the text is: "Introduction to Electromagnetic Fields", Clayton R Paul, and Syed A Nasar, published in 1982, ISBN 0-07-045884-7, pp 241 - 243 73, Frank. |
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