A Simple Derivation of a Result in Electrostatics

We present a simple derivation of the following result in electrostatics. The value of the electric field at the center of a sphere with no charge inside equals three times the average over the surface of the sphere of the radial part of the electric field.

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Bibliographic Details
Published in:SIAM review 1998-12, Vol.40 (4), p.915-917
Main Author: Sánchez-Velasco, Eduardo
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Classical electromagnetism, maxwell equations
Classical field theories
Classroom Notes
Electric fields
Electromagnetism
Electrostatics
Exact sciences and technology
Geometric centers
Geometry
Greens function
Mathematical integrals
Mean value theorems
Other special classical field theories
Physics
Static electricity
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Description
Summary:We present a simple derivation of the following result in electrostatics. The value of the electric field at the center of a sphere with no charge inside equals three times the average over the surface of the sphere of the radial part of the electric field.
ISSN:0036-1445
1095-7200
DOI:10.1137/S0036144597324549