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Homework Help: EM Problem: Floating Conducting Cylinder

  1. Feb 16, 2013 #1
    1. The problem statement, all variables and given/known data

    See figure attached.

    2. Relevant equations

    3. The attempt at a solution

    Originally I have solved this problem using Gauss's law by defining a gaussian surface in the form of a cylinder around the floating cylinder to get the electric field distribution underneath the cylinder to ground.

    The result I obtained was,

    [tex]V(y) = \frac{Q_{pul}}{4 \pi \epsilon_{0}}\left( \frac{ln(d-y)}{d} \right)[/tex]

    but since we aren't told what Qpul is we cannot plot the variation of the voltage.

    My professor suggested I try solving this problem using image theory and laplaces equation in cylindrical coordinates in order to avoid Qpul.

    Can someone explain to me how this done?

    Thanks again!

    Attached Files:

    • EMQ.jpg
      File size:
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  2. jcsd
  3. Feb 18, 2013 #2

    rude man

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