In the paper we present the numericalsimulation of the electromagnetic phenomena coupledwith the thermal ones when processing the semifinishedproducts made up of non-ferrous alloy,through electromagnetic induction with the purpose toobtain a homogenous heating of the pieces in theshortest time. Maxwell’s equations that describe theheating process through induction, show that theimportant quantity, basically important to determinethe eddy currents induced in the piece, is the intensityof the magnetic field, resulting the electromagneticlosses, due to their transformation in thermal energy.Determining these losses and verifying the quantity ofheat emerged in the piece is also possible by means ofmathematical calculus with the help the numericalmodeling by methods of approximation such as themethod of the finite differences or the finite elementmethod. So far the results of the experiments haveshow that the intensity of the magnetic field for a longinductor is more intense in the center of the inductorand weaker at its extremes. The purpose of thenumerical modeling is to render solution tohomogenize the intensity of the magnetic fieldaccording to the geometry of the inductor.