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For a composite multiferroic chain corresponding to a BaTiO3/Fe-interface we report theoretical calculations of the spectra of ferromagnetic resonance relying on the solution of the coupled Landau-Khalatnikov equation for the FE polarization and the Landau-Lifshitz-Gilbert equation for the magnetization motion. We focus on the role of the system size. Additionally, we find that although the magnetoelectric coupling strength remains linear upon the electric field variation, its dependence on the thickness of the ferromagnet is not linear.