Is this magnetic field equation correct in material as well?

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SUMMARY

The equation for the magnetic field generated by a straight wire carrying current I, expressed as dB = μ.Idl x r / 4π.r², is primarily valid in a vacuum. In materials, corrections for polarization and magnetization must be considered, leading to the use of dH instead of dB. This distinction is crucial when applying Maxwell's Equations in non-vacuum conditions, as the behavior of magnetic fields differs significantly in materials compared to a vacuum.

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Homework Statement


Or is it only valid in vacuum condition? Segment of straight wire carrying current I
(at distance r)
dB = u.Idl x r / 4pi . r^2

(I've came across it on a book about Maxwell's Equations.)

Homework Equations

The Attempt at a Solution


Does correction have to be made for polarization or magnetization of the material medium? If so, how?
 
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In a medium, I would expect it to hold with dH instead of dB.
 

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