Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the electrostatic equilibrium of charges and cavities in a conductor   We consider a charged conductor of arbitrary shape, in electrostatic
equilibrium, with one or more cavities inside it, and with fixed charges placed
outside the conductors and inside the cavities. The field inside a particular
cavity is then only due to charges within that cavity itself and to the surface
charge induced on the surface of the same cavity. A similar statement holds for
the exterior of the conductor. Although this is an elementary property of
conductors, it is not a trivial statement, as explained in this article.
Undergraduate texts in electrodynamics do not discuss at length or provide a
complete argument for an important problem such as this. Two simple and
complete proofs are provided in this note with the help of the standard
electrostatic uniqueness theorems.

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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph