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Wave equation in conductor

  1. Dec 1, 2014 #1
    1. The problem statement, all variables and given/known data
    http://web.phys.ntnu.no/~ingves/Teaching/TFY4240/Exam/Exam_Dec_2008_tfy4240.pdf
    problem 2a)

    2. Relevant equations


    3. The attempt at a solution

    Hi. In problem 2a I was supposed to find a wave equation, however while digging around in maxwell's equations, I found this result:

    https://fbcdn-sphotos-f-a.akamaihd.net/hphotos-ak-xap1/v/t1.0-9/16410_10204393293009062_1155886601331102418_n.jpg?oh=44e1d9886a54e34274c00437ed952ca5&oe=5505B805&__gda__=1427040332_aace122d9214b5db9de482b3e631a490

    which effectively implies that ##\nabla^2 \vec{E} = 0## if you insert it into the wave equation they want me to find (look in problem 2a to see what I mean), which obviously can't be right.

    But where is the fault in my derivation?
     
  2. jcsd
  3. Dec 1, 2014 #2
    Ahh, but of course, the charge density is zero in an ideal conductor, is it not? Then what I get out will be nonsense because of that?
     
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