Attraction of the ring-shaped magnets

QuickField simulation example

Two coaxial permanent ring-shaped magnets are pulled to each other.

Problem Type
Axisymmetric problem of magnetostatics

Geometry

D₁ = 2" (50.8 mm) inner diameter of the ring magnet;
D₂ = 0.5" (12.7 mm) outer diameter of the ring magnet;
L = 0.75" (19.05 mm) - thickness of the magnet;
δ=0.5" (12.7 mm) - gap between the magnets.

Given
magnet grade N35, H_c = 954930 A/m, B_r = 1.26 T;

Task
Calculate the pulling force between two coaxial ring-shaped permanent magnets.

Solution
For accurate calculation, the integration contour is drawn in the air around one of the magnet.

Result
Magnetic field lines and mechanical force calculation

* Reference: www.kjmagnetics.com.

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