Given
Core magnetic permeability μ = 1000;
Conductivity of rail σ = 33 MS/m;
Total current in the slot I = 1844 Ampere·turns (R.M.S.);
Frequency f = 50 Hz.

Task
Calculate propulsion force acting on the rail.

Solution
Due to periodicity of the problem, only the 3-slot section is modeled, and the odd periodic boundary condition is applied on the sides.

Results
Propulsion force is 145 N per 1 m of rail length in z-direction.
Current density distribution in the rail:

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