Attraction of the block magnet to the steel plate

QuickField simulation example

Rectangular prism shaped permanent magnet is pulled toward the ferromagnetic plate.

Problem Type
Plane-parallel problem of DC magnetics

Geometry

w=1.5" (38.1 mm) - magnet width;
t=0.25" (6.35 mm) - magnet thickness;
L=0.25" (6.35 mm) - magnet length;
d=0.25" (6.35 mm) - plate thickness;

Given
magnet grade N35, H_c = 954930 A/m, B_r = 1.26 T;
relative magnetic permeability of the plate μ_steel = 1000.

Task
Calculate the pulling force of the magnet attraction to the steel plate.

Solution
To calculate the pulling 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
Magnetic field of the brick permanent magnet in vicinity of the steel wall.

* Reference: www.kjmagnetics.com.

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