Assume that each iron atom has a permaanent 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.

Explanation

To solve the given problem, we will break it down into two parts: (a) finding the maximum magnetization \( I \) in a long cylinder of iron, and (b) finding the maximum magnetic field \( B \) on the axis inside the cylinder.

### Part (a): Finding the Maximum Magnetization \( I \)

1. **Identify Given Values**:
- Magnetic moment of one iron atom, \( m = 2 \times \text{Bohr magneton} = 2 \times 9.27 \times 10^{-24} \, \text{A m}^2 \)
- Density of atoms in iron, \( n = 8.52 \times 10^{28} \, \text{atoms/m}^3 \)

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