Maximum detectable distance between magnet and magnetometer

AI Thread Summary
A user seeks to determine the maximum detectable distance between an N52 magnet and a single-component Z-Axis magnetometer with a resolution of 60nT. They calculated a distance of 1.579 meters using a specific formula but questioned its validity. Responses indicate that the formula may differ from standard equations for bar magnets, suggesting further research on magnetic fields and their distance dependence. The importance of understanding the inverse cube relationship of magnetic force to distance is emphasized. The discussion highlights the need for verification of the formula used in the calculations.
siavosh1
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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:

https://forum.allaboutcircuits.com/attachments/blockequation-png.257032/
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.
https://forum.allaboutcircuits.com/attachments/blockmagnet-png.257033/
My question is whether I have chosen the right formula? or do you suggest another solution for it.
 
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Welcome to PF.
Where did you get that block equation from ?
 
Does anyone have any idea about this?
 
There is no reference with the calculator to the source of the equation linked.
The formula is of a different form to that normally given for a bar magnet.
It may be correct. It may simply be a different numerical approximation.
Google; magnetic field due to bar magnet on axial line
 
It's important to recognize that the magnetic force varies in inverse proportion to the cube of the distance.
 
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