Freedericksz transitions of twisted ferronematics in magnetic field

•Liquid crystals doped with ferromagnetic particles were studied for applications.•Our work focuses on the behaviour of a ferronematic in external magnetic field.•We consider a new model for the anchoring energy of molecules on the cell plates.•We found a strong dependence of the threshold fields on anchoring conditions.•This will be useful for controlling the magnetic Freedericksz transition threshold. In this paper, we study the behaviour of a ferronematic mixture in external magnetic field, considering a new model for the anchoring energy of the nematic molecules on the cell plates in twisted nematic configuration. Using Euler Lagrange equations, we calculated the critical field for the magnetic Freedericksz transition and the saturation field. We observed that both, the critical and the saturation fields increase when the anchoring is stronger.