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Attraction of the ring magnet to the steel plate

Ring magnet is pulled toward the ferromagnetic plate.

Problem type:
Axisymmetric problem of magnetostatics

Geometry:

Ring magnet model

D1 = 0.5" (12.7 mm) inner diameter of the ring magnet;
D2 = 2" (50.8 mm) outer diameter of the ring magnet;
l = 0.75" (19.05 mm) - thickness of the magnet;
t = 1" (25.4 mm) - plate thickness.

Given:
magnet grade N35, Hc = 954930 A/m, Br = 1.26 T;
relative magnetic permeability of the plate μsteel = 1000.

Task:
Calculate the pulling force between the magnet and a steel plate.

Solution:
To calculate the pull force accurately, and avoid integration along the edge dividing media with large difference in magnetic permeabilities, we place the magnet at a small distance δ = 0.005" (0.127 mm) from the steel plate. Integration contour is drawn in the air around the magnet.

Result:

Ring magnet simulation

Pull force

QuickField

608 N

Reference*

556 N (122.4 lb, 1 lb = 4.54 N)

* Reference: www.kjmagnetics.com.

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There are no restrictions applied to the QuickField Student Edition postprocessors.
You can view field maps, make plots, calculate integrals and print pictures in the same way that the Professional Edition users do.