Magnetics math

[SmMan]

Hello all,

I am new here!

Can someone explaine to me how to get from line(s) one to two in the attached pages?
I do accept the final answers or consclusions but I cannot figure out how to go from lines (numbered) 1 to 2.

From the book Introduction to magnetics and magnetic materials by David Jiles
Thanks.
Sm

 

[albbg]

You can derive the equation simply starting by the relationship between the magnetic susceptibility (X) and the magnetization (M).

 

[SmMan]

You can derive the equation simply starting by the relationship between the magnetic susceptibility (X) and the magnetization (M).

Thanks for the reply albbg,

I thought you could only use your solution on materials that had a constant U as per what it says in the picture below, but I was wrong. The text gives this impression (I least I think it does).

I still cannot figure out how to get from '1' to '2' in the second problem (repeated below). I accept the answer OK it's just that I cannot do the math.

Cheers,
Sm

 

[SmMan]

Figured it out


B = Uo(H + M)

B = Uo(Ni/L + M) [ H = Ni/L]

B = UoUr(HI/L) FROM RESULT ABOVE

B = U Ni/L

Ni = BL/U

Magnetics seem to have very weird manipulations IMO when it comes to M

Cheers