I If you were to perform a linear regression of log10(B) vs log10(x)....

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The discussion centers on performing a linear regression of log10(B) versus log10(x) based on the relationship B(x) = μoI(2πx)−1. It is noted that if μoI(2πx) is much less than 1, the expected slope will be 0. Conversely, if μoI(2πx) is much greater than 1, the slope is expected to be log10(2μoIπ). For values in between, the slope will vary accordingly. This analysis highlights the impact of the parameter μoI(2πx) on the regression slope.
Ekwia22
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If you were to perform a linear regression of log10(B) vs log10(x) what would you expect the slope to be? The expected relationship between B and x is

B(x) = μoI(2πx)-1
 
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Hello Ekwia, :welcome:

If ##\mu_oI(2\pi x)<< 1## you expect slope 0 and if ##\mu_oI(2\pi x)>> 1## you expect slope ##^{10}\log (2\mu_oI\pi)## ...
In between you get, well, in between !
 
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