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The aim of this paper is to show the interest of using equivalence models for calculating the electric fleld produced by cylindrical capacitors with dielectrics. To do so, we use an equivalent model, based on the dual Maxwell's Equations for calculating the two electric fleld components created inside the capacitor and outside it. This equivalent model uses flctitious currents generating a electric vector potential that allows us to determine the electric fleld components in all points in space. The electric fleld produced by charge distributions as capacitor with dielectrics is generally determined by using the coulombian model. Indeed, it is well known that the electric fleld derives from a scalar potential. By using the Maxwell's equations, this scalar potential is in fact linked to the existence of charge distributions that are generally located on the faces of the capacitors. However, this last model does not allow us to obtain reduced analytical expressions since it involves the calculation of charge volume density appearing in the dielectric material for arc- shaped cylindrical topologies. Consequently, it is interesting to look for another approach that gives analytical expressions with a lower computational cost. In this paper, we show that the use of flctitious currents instead of charges allow us to obtain 3D analytical reduced expressions with a lower computational cost. This analytical approach is compared to the coulombian model for showing the equivalence between the two approaches.

INTRODUCING FICTITIOUS CURRENTS FOR CALCULATING ANALYTICALLY THE ELECTRIC FIELD IN CYLINDRICAL CAPACITORS