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Calculation of the maximum detectable distance of a magnet by a magnetometer


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Hi Dear,
I have a single-component (Z-Axis) magnetometer with 60nT resolution.
I want to calculate the maximum distance that this magnetometer can detect an N52 magnet with a volume of 1 cm³.
So I used the following formula and inserted the values, and finally calculated the Z:

blockEquation.png

Br = 1.47 T (for Magnet N52)
B= 60 nT (magnetometer resolution)
L=W=D=10mm
Z=?
My answer => Z= 1.579 m
Keep in mind that I intended to solve this problem in the simplest possible way; the angle of view of the magnetometer is perpendicular to the magnet plate.

blockMagnet.png

My question is whether I have chosen the right formula? or do you suggest another solution for it.

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