What is the Tangential Hall Effect in Ferromagnetic Materials?

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The discussion centers on the behavior of tangential magnetic fields in ferromagnetic materials under longitudinal magnetic fields. It is established that if there are no surface currents at the boundary, the tangential components of the magnetic field (Ht1 and Ht2) are continuous, thus Ht1 equals Ht2. In cases where oscillating fields are present, the relationship becomes more complex. The presence of surface currents alters this continuity, linking the difference in tangential components to the surface current density. Overall, boundary conditions play a crucial role in determining the behavior of the magnetic fields.
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Hi everybody.. I have a question on tagential magnetic field.
I have a ferromagnetic material in longitudinal magnetic field and i necessary to know the component tangential H (magnetizing force) of this field by probe hall effect in this material near at your inside surfice. If the probe hall value of Ht1 in air is correct to say Ht1 = Ht2 ? And if true what mathematical law is applied?
Tanks and best regards
 

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IF the H (and B) field is along z, and there is no surface current J at the boundary (in x-z plane or y-z plane) , then curl H = 0, so dHz/dx = -dHz/dy = 0.
In your picture, Bz inside ferrite = u Bz outside ferrite, where u = relative permeability..
 
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If H is a static field, then H tangential is continuous, so you are right to say Ht1=Ht2.
If H is oscillating in time, it is more complicated.
 
Tanks.. Exuse me if i do not draw the cartesian axial. Hence Ht1 = Ht2 along x-axsis and y-axsis.
If instead surface current J because the ferromagetic material is trought by current is not true Ht1 = Ht2 but I can say che H1 about Ht2?
tanks
 
Yay, boundary conditions!

Take a look starting at page 57: http://www.amanogawa.com/archive/docs/EM5.pdf

Basically, for almost any real material the tangential magnetic field is continuous. If you have surface currents, then the difference in the tangential components will be related to the surface current density.
 
Tanks for your replay... and exuse me if i do not write a english correct...
Best regard
 

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