The main objective of this study is to investigate the vibration behavior of soft magnetoelastic plates mounted close to the rectangular conductors conducting current that can be e ciently applicable in structures. New relationships are derived for electromagnetic interaction forces with magnetoelastic plates using the general form of Maxwell's equations and Lorentz forces. Based on von-K am an strain-displacement relations and Hamilton's principle, nonlinear di erential equations are further derived for the plate through classical rst-order shear deformation theory. This research numerically investigates how di erent parameters a ect the resonance features of these plates by discretizing the nonlinear equations based on Galerkin method. The obtained results demonstrate that the intensity of the magnetic eld and electric current profoundly a ects the vibration behavior of the plates. Through these e ects, loss of energy will happen in the plate which in turn results in a decrease in the oscillation amplitude over time.