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Homework Statement
I am asked to find if there exists an electric field of a hollow dielectric field at a sphere is 0 and proof it.
Homework Equations
The Attempt at a Solution
I've drawn this picture:
http://img19.imageshack.us/img19/2295/hollowp.th.jpg
[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..
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