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Hollow dielectric sphere

  1. Mar 7, 2009 #1
    1. The problem statement, all variables and given/known data
    I am asked to find if there exists an electric field of a hollow dielectric field at a sphere is 0 and proof it.

    2. Relevant equations

    3. The attempt at a solution
    I've drawn this picture:

    http://img19.imageshack.us/img19/2295/hollowp.th.jpg [Broken]

    [tex] \omega \rightarrow 0 [/tex]
    [tex] \delta q \rightarrow dq \rightarrow 0 [/tex]

    [tex] E1 = k \frac{dq1}{r1^2}[/tex]
    [tex] E2 = k \frac{dq2}{r2^2}[/tex]

    if [tex]\vec{E_1} + \vec{E_2} = \vec{0}[/tex] for p
    [tex]\vec{E_net} = \vec{0} [/tex]for all p
    [tex] k \frac{dq_1}{r_1^2} = \frac{k\sigma\dA_1}{r_1^2}[/tex]
    [tex] k \frac{dq_2}{r_1^2} = \frac{k\sigma\dA_2}{r_2^2}[/tex]

    Explanation of the picture:
    1. The two dotted circles are gaussian sphere each with radius r1 and r2.
    2. The solid circle is the hollow dielectric sphere viewed from one side
    3. P is just a point inside the dielectric sphere

    So far this is all I got, can someone please guide me what to do next in this proof..
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Mar 8, 2009 #2
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