Using Fictitious Currents for Calculating Electric Fields Produced by Capacitor Dielectrics

摘要

This paper introduces the concept of fictitious currents for calculating the electric field produced by capacitors with dielectrics. We use the Maxwell dual equations and introduce the concept of equivalent potential vector for calculating analytically the radial electric field created by capacitors with cylindrical topologies. The interest of such an approach lies in the fact that it allows us to obtain analytical expressions without using any numerical integrals. Our approach is compared to the coulombian model. Our simulations show that our analytical approach has a lower computational cost than the Colombian model.