The main purpose of the paper is to calculate the magnetic force delivered by actuators with a nonmagnetic body levitated in a ferrofluid that is magnetized by permanent magnets. A linear algebraic formula is proposed for this purpose, which is then validated experimentally. The nonlinear magnetization curve for the ferrofluid, known in detail, was used in computations. Satisfactory agreement between the results obtained with the linear formula for the force and the experimental results was obtained. The expression for the force is very simple, having only three independent variables, and can be used as a "guideline" in the analysis and design of the mentioned actuators.
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