Question

What is the magnetic susceptibility of an unknown material that experiences a magnetic flux density of 0.0252 T when put in an externally applied magnetic field from a coil. The details of the coil are that it has 20 turns, a length of 0.01 m, and a current of 10 amps. In addition, what is the most dominant type of magnetism in the material?

Answer 1

`X_z = 0.00239` corresponds to para-magnetism being dominant

Step-by-step explanation:

From the question we are told that

The magnetic flux density is
`B = 0.0252 T`

The number of turn of the coil is
`N = 20 \ turns`

The length of the coil is
`l = 0.01 \ m`

The current flowing through the coil is
`I = 10 \ A`

The magnetic flux density is mathematically represented as \

`B = (\mu_o * \mu_r * N * I)/(l)`

=>
`\mu_r = (Bl )/(\mu_o * N * I)`

Here

`\mu_r` is the permeability of the unknown material

`\mu_o` is the permeability of free space with value
`4\pi * 10^(-7) N/A^2`

substituting values

`\mu_r = (0.0252 * 0.01 )/( 4\pi * 10^(-7) * 20 * 10)`

=>
`\mu_r = 1.00239`

The Susceptibility of the this unknown material is mathematically represented as

`X_z = \mu_r -1`

`X_z = 1.00239 -1`

`X_z = 0.00239`

Now a material with Susceptibility that is small and positive is a Paramagnetic material