The magnetization within a bar of some metal alloy is 3.3 ×105 a/m at an h field of 61 a/m. determine the following: (a) the magnetic susceptibility, (b) the permeability, and (c) the magnetic flux density within this material. (d) what type(s) of magnetism would you suggest as being displayed by this material?

Explanation:

(a)We calculate the magnetic susceptibility within a bar of metal alloy when M = 3.3 x 10⁶ A/m and H =61 A/m.  Solving for Xm gives  

Xm=M/H

Xm=3.3 x 10⁶/61

Xm=54098.4

(b)In order to calculate the permeability we employ

µ=µr µ₀

µ= µ₀(1+Xm)  

µ= 1.257x 10⁻⁶(1+ 54098.4)

µ=0.068 H/m

(c)The magnetic induction B may then be found from  

             B = µH = (0.068)(61) = 4.148Tesla

(d)This metal alloy would exhibit ferromagnetic behavior on the basis of its χm value (54098.4), which is considerably larger than typical χm values for diamagnetic and paramagnetic materials.  Also M is nonzero and large. (It could also be ferrimagnetic).  

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