Reviewing the Forces of Electret Motors by Applying Maxwell Stress Tensor and Delta Function

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Abstract
The forces exerted on the electret rotors of the conventional Gubkin- and Jefimenko-type electret motors and the intermediate-type motor have been derived systematically using the Maxwell stress tensor and delta function. The delta function is effective in deriving the force due to the edges of a pair of stator electrodes of the Gubkin-type motor. The force based on the so-called slot effect appearing in the Jefimenko-type motor can be derived as the sum of the forces due to the edges of the pairs of stator electrodes constituting the slots. The equation derived for total force of a Jefimenko-type motor has the form of the sum of two total forces appearing in two simple slot effect transducers in which each electret has a different charge density. The equations obtained here for the forces have the same forms as those previously obtained using the energy principle.

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