Electrostatic field bounds for model dielectric configurations

T. J. Wilcox · American Journal of Physics · 1993

The normal component of an electric field near a convex shaped object of zero net charge and dielectric constant ε embedded in a vacuum with an asymptotically uniform electric field has an upper bound (ε/ε0)‖E0‖, where ε0 is the vacuum permittivity, and E0 is the asymptotic field. This limit may be closely approached in the vicinity of regions of high surface curvature.

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