# Magnetic field variation with distance

1. Jan 28, 2006

### dfx

First of all I have put in ALOT of research into this and I do realize there is no standard formula for the variation of B with the distance because the configuration/polarities and so on tend to get complicated.

However, part of my investigation involves measuring the variation of the magnetic field with the distance. The values I have got so far tend to indicate no standard relationship and I get really ugly functions like:

$$f(x) = 53.491265*0.48728247^x and f(x) = 85.849644*0.28785481^x$$

showing the magnetic field as function of distance, x for 2 seperate magnets.

The initial values, 53... and 85.... are $$B_0$$ which is the magnetic field at the surface (distance 0).

The graph digitally plotted seems to intersect through only 2 out of 5 points (it JUST shaves the error bars of some other points).

I am tempted to say the relationship holds for my magnets. While I do realize in physics what you observe is true, are such almost random relationship possible? Would my data be viable? Can you advise any other way of establishing the relationship?