Assume that each iron atom has a permanent magnetic moment equal to 2 Bohr magnetons `(`1 Bohr magneton equals `9.27 xx 10^(-24) A m^2``)`. The density of atoms in iron is `8.52 xx 10^28` atoms `m^(-3)`. (a) Find the maximum magnetization `I` in a long cylinder of iron. (b) Find the maximum magnetic field `B` on the axis inside the cylinder.

Assume that each iron atom has a permanent magnetic moment equal to 2

1.	Assume that each iron atom has a permanent magnetic moment equal to 2 Bohr magnetons `(`1 Bohr magneton equals `9.27 xx 10^(-24) A m^2``)`. The density of atoms in iron is `8.52 xx 10^28` atoms `m^(-3)`. (a) Find the maximum magnetization `I` in a long cylinder of iron. (b) Find the maximum magnetic field `B` on the axis inside the cylinder.
Answer» Correct Answer - `158xx10^6Am^-1`; `1985T` Here, magnetic moment of each atom `=185xx10^(-23)Am^2` Number of atoms/volume `=852xx10^(28)m^-3` `:.` Max. magnetisation, `I=M/V=185xx10^(-23)xx852xx10^(28)` `=158xx10^6Am^-1` Max. mag. Induction `B=mu_0(H+I)` `=4pixx10^-7(0+158xx10^6)=1*985T`

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