Cálculo de fuerzas electrostáticas entre objetos volumétricos regulares mediante integración Montecarlo
Abstract
In this work we present a numerical study of the electrostatic force between pairs of bodies with uniform electric charge, of regular volume and shape, specifically circular cone, circular cylinder and sphere, with arbitrary orientations. In order to optimize the numerical calculation, we implement a Monte Carlo integration model to estimate the force between continuous charge distributions and compare it with the model of point charges located at the centroids. The experimental design varies the distance between the centroids in a wide range (0 to 10 m) and the volume ratio (0.25 a 10), considering the total charge equal . We report the force magnitude, the ratio of the force to the point force, the percentage error of the angle between the forces and the relative vector error against the point charges reference. Results are discussed for four object pairs: sphere-sphere, sphere-cylinder, sphere-cone, and cylinder-cone. Relative vector errors approaching 10% are obtained for close distances for object pairs containing the cylinder and the cone. The sphere–sphere pair reports practically identical results compared to the case of point charges. The results are discussed using a multipole approach.
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