6533b827fe1ef96bd1285994

RESEARCH PRODUCT

Potential and energy of oblate spheroidal charge distributions

F. PomerJ. Navasquillo

subject

Normalization (statistics)PhysicsElectric potential energyProlate spheroidal coordinatesCondensed Matter PhysicsElectrostaticsElectric chargeSurfaces Coatings and FilmsElectronic Optical and Magnetic MaterialsComputational physicsClassical mechanicsOblate spheroidElectric potentialElectrical and Electronic EngineeringPoisson's equationBiotechnology

description

Abstract The Poisson equation for a large class of charge distributions contained within oblate spheroids in solved and their energies are obtained. In many cases, the potential and the energy can be found by comparison with the solutions of the Poisson equation for prolate spheroidal charge distributions obtained in preceding works. The limits of validity of this comparison procedure are established. For the simplest cases the electrostatic energy is computed and, after suitable normalization, displayed graphically.

https://doi.org/10.1016/0304-3886(89)90017-x