Begingroup h is a bit like the number of magnetic field lines and b kinda is how tightly packed they are.
Relationship between b and h field.
Even if we used natural units where μ.
More amps more turns shorter core means more field lines bigger h aturns m higher permeability measure of how easily those field lines can flow means they can be packed tighter together in the core larger b more intense magnetic field.
There are two different but closely related fields which are both sometimes called the magnetic field written b and h.
Where χ is called the volume magnetic susceptibility and.
Symbol name units e electric field v m n c p polarization c m2 d electric displacement c m2 b magnetic induction n a m.
Another commonly used form for the relationship between b and h is.
The fields h and b as in the electric case we have two flelds in the mag netic case.
To further distinguish b from h b is sometimes called the magnetic flux density or the magnetic induction.
Historically the term magnetic field was reserved for h while.
If the medium is non continuous or anisotropic then magnetic poles or a demagnetising field could be created which themselves become sources of local excitation and they add to the source.
Electric current can be highly non linear.
B μ 0 h m h and m will have the same units amperes meter.
E d p b h and m.
In dc fields static electric e fields create currents magnetization currents i when σ 0 which in turn produce static h fields.
The magnetic hysteresis loop above shows the behaviour of a ferromagnetic core graphically as the relationship between b and h is non linear.
While both the best names for these fields and exact interpretation of what these fields represent has been the subject of long running debate there is wide agreement about how the underlying physics work.
In diamagnets and paramagnets the relation is usually linear.
But i have read in many places h is magnetics field and is defined as and we have relation as b mu0 h where b is magnetic flux density.
A static b field actually d dt b n da 0 cannot produce an electric field e.
If the magnetisation current i is increased in a positive direction to some value the magnetic field strength h increases linearly with i and the flux.
A relation between m and h exists in many materials.
Starting with an unmagnetised core both b and h will be at zero point 0 on the magnetisation curve.
Bio savart law gives us b which i suppose is magnetic field.
The quantity h plays the role of d for the table i.
Based on maxwell s equations electric fields are generated by changing b fields while h fields are generated by changing electric fields.
Thus b is related to the properties of the material and its relation to the applied excitation e g.
The quantity m in these relationships is called the magnetization of the material.
B μ m h.