Abstract

Magnesium-doped nickel–cobalt ferrite in nanoscale form can be created using a sol–gel process. The crystallite diameters, varying from 42 to 73 nm, are confirmed by XRD examination. Ferrimagnetism, a form of magnetism in which the material’s magnetic moments align to produce a net magnetic field, is shown by synthesized ferrites. As the frequency rises, the ac resistivity changes in all the samples, showing a decreasing trend, which is typical of ferrites. These variations are explained by the electronic hopping between ferrous ? ferric ions and the concentration of ferrous ? ferricions on octahedral sites. An LCR-Q meter and a frequency function were used to examine the samples’ initial permeability. The actual part of early permeability was observed to rise. By taking into account both resistance (actual component) and reactance (imaginary part), a complex impedance analysis examines the resistance to alternating current (AC) flow in a circuit or material. The electrical characteristics and conduction processes of the material are revealed by this investigation, which is frequently carried out utilising sophisticated impedance studies. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.