Answer:
[tex]X_z = 0.00239[/tex] corresponds to para-magnetism being dominant
Explanation:
From the question we are told that
The magnetic flux density is [tex]B = 0.0252 T[/tex]
The number of turn of the coil is [tex]N = 20 \ turns[/tex]
The length of the coil is [tex]l = 0.01 \ m[/tex]
The current flowing through the coil is [tex]I = 10 \ A[/tex]
The magnetic flux density is mathematically represented as \
[tex]B = \frac{\mu_o * \mu_r * N * I}{l}[/tex]
=> [tex]\mu_r = \frac{Bl }{\mu_o * N * I}[/tex]
Here
[tex]\mu_r[/tex] is the permeability of the unknown material
[tex]\mu_o[/tex] is the permeability of free space with value [tex]4\pi * 10^{-7} N/A^2[/tex]
substituting values
[tex]\mu_r = \frac{0.0252 * 0.01 }{ 4\pi * 10^{-7} * 20 * 10}[/tex]
=> [tex]\mu_r = 1.00239[/tex]
The Susceptibility of the this unknown material is mathematically represented as
[tex]X_z = \mu_r -1[/tex]
[tex]X_z = 1.00239 -1[/tex]
[tex]X_z = 0.00239[/tex]
Now a material with Susceptibility that is small and positive is a Paramagnetic material
