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If a dielectric is isotropic and uniform, then assuming it carries no free charge, we know that the potential $V$ inside the dielectric is harmonic: $\Delta V = 0$. Hence the maximum principle holds i …

This is related to the fact that in electrostatics, the electric field has zero curl. Do you know a proof of this fact. …

There is a nice uniqueness theorem of electrostatics, which I have found only after googling hours, and deep inside some academic site, in the lecture notes of Dr Vadim Kaplunovsky: Suppose some volume … This theorem is by no mean trivial, as seem to believe many authors that content themselves to invoke the "linearity and homogeneity of the equations of electrostatics" in many situations, e.g. when establishing …

In the classical model for polarization, if a dielectric is placed in a an electrical field (assumed to be static for the sake of simplicity), the trajectory of the electrons inside the atoms of the d …

Electrostatics textbooks delight at computing the electric field or the potential created by a known distribution of charge, ignoring the fact that this is rather a non practical question. …

My aim was to create a relatively strong electrostatic field to experiment with biological systems. So, I built a kind of "sandwich" made of a plate of aluminium surrounded by two 4mm plates of isolat …

I am wondering if the fact that "the electric potential is continuous" should not be added to the set of axioms of physics. I have never seen a problem where the potential is discontinuous, unless, po …