The Effect of Charge Discretization on the Electrical Field inside a Conductor

Abstract

We show how the electrical field inside the conductor changes as a function of the number of charged-particles. We show that the non-vanishing electrical field is concentrated near the surface of the conductor, at a shallow depth on the same order of magnitude as the separation between charges. Our study has illustrated the effect of charge discretization on a fundamental emergent law of electrostatics.

References in corpus (3)

• Crystalline Order on a Sphere and the Generalized Thomson Problem
• Why charges go to the surface: a generalized Thomson problem
• The Effect of Charge Discretization on the Electrical Field inside a Conductor

Cited by in corpus (1)

• The Effect of Charge Discretization on the Electrical Field inside a Conductor