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Homework Help: Divergence Theorem-Electromagnetism

  1. Jan 23, 2014 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations
    The divergence theorem is quoted on the problem sheet.

    3. The attempt at a solution
    I am struggling with the last question (2)c)). I have tried to put the continuity equation into the divergence theorem and have got:

    S J.ds=-d/dt∫V ρdV

    But I'm not sure if I can just sub it in in this way. Do I then need to set up an intergral to get the final solution? I am not really sure what form the answer will be in.

  2. jcsd
  3. Jan 23, 2014 #2


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    Homework Helper
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    2017 Award

    Hello, sclatters. I'm not sure what you mean when you say "I'm not sure if I can just sub it in in this way."

    But, it looks to me that you have the result! No further calculation should be necessary. You just need to interpret the meaning of the left and right sides of the equation.
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