Highly controlled magnetoelectric, ferroelectric, and nano-engineering composites are promising materials for achieving the requirements of high-performance electronic devices with minimal cost. Thus multifunctional materials are talented in different applications. In this scope, the properties of nano-engineering materials are mainly related to their macroscopic morphology and microscopic structure. During recent years, there has been a processing interest in synthesis methods and morphology control to give traditional materials innovative functions through the design of the shape, size, porosity, surface, and interface. Most of the promising concepts of the electrical and magnetic controlling for nanomaterials were based on theoretical assumptions, such as Debye models, which consider the material in the ideal state. The Debye relaxation model was used to explain the relaxation of the dielectric. This model was insufficient in explaining the experimental results, so some modifications were made to explain the experimental results. Cole-Cole model is a modified model to explain the dielectric relaxation with a symmetric broadening in the loss peak. A Cole-Davidson model is a new modification to explain the asymmetric broadening of the loss peak. Havriliak/Negami model is a more comprehensive model and is made to describe both the symmetric and the asymmetric broadening of the loss peak. The dielectric relaxation models are used to describe the dielectric relaxation in the ferroelectric, ferromagnetic, and multiferroic material. The magnetic hysteresis loop is employed to investigate the magnetic order in the composite materials.