A bar magnet of length `1cm` and cross-sectonal area `1.0 cm^2` produces a magnetic field of `1.5 xx 10^(-4) T` at a point in end-on position at a distance 15cm away from the centre. (a) Find the magnetic moment `M` of the magnet. (b) Find the magnetization `I` of the magnet. (c) Find the magnetic field `B` at the centre of the magnet.

Explanation

To solve the problem step by step, we will follow the three parts of the question: (a) finding the magnetic moment \( M \) of the magnet, (b) finding the magnetization \( I \) of the magnet, and (c) finding the magnetic field \( B \) at the center of the magnet.

### Given Data:
- Length of the magnet, \( L = 1 \, \text{cm} = 0.01 \, \text{m} \)
- Cross-sectional area, \( A = 1 \, \text{cm}^2 = 1 \times 10^{-4} \, \text{m}^2 \)
- Distance from the center, \( D = 15 \, \text{cm} = 0.15 \, \text{m} \)
- Magnetic field at the point, \( B = 1.5 \times 10^{-4} \, \text{T} \)

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