Linear regression slope for log10(B) vs log10(x) with B = μ₀I/(2πx)

[Ekwia22]

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

 

[BvU]

Hello Ekwia,

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 !