What Is Magnetisation (M)? Dipole Moment per Volume

Physics · Magnetism And Matter · NEET

Magnetisation (M) is the net magnetic dipole moment of a material per unit volume: M = net magnetic moment / volume. Its SI unit is ampere per metre (A/m), the same as magnetic intensity H. Memory hook: M tells you "how strongly the material itself has become a magnet," while H is only the outside push you apply.
Magnetisation: aligned dipoles per unit volumeMaterial of volume Vtiny dipole moments add up = m_netdivide by VM = m_net / Vunit: A/mM = χH, B = μ₀(H + M)
Magnetisation M is the vector sum of all tiny atomic dipole moments (m_net) divided by the volume V, giving A/m; for linear materials M = χH and the total field is B = μ₀(H + M).

Your doubts, answered

Is magnetisation the same as magnetic moment?

No. Magnetic moment (m) is a property of the whole object and its unit is A·m². Magnetisation (M) is the magnetic moment packed into each unit of volume, so M = m_net / V and its unit is A/m. Two bars can have the same M but different total moment if their volumes differ.

What is the SI unit of magnetisation?

Ampere per metre (A/m). Check it by dimensions: magnetic moment is A·m², volume is m³, so A·m² / m³ = A/m. Interestingly this is the same unit as magnetic intensity H, which is why NEET questions often relate M and H directly through M = χH.

What is the difference between M and H?

H (magnetic intensity) is the field you apply from outside (from the coil/solenoid current). M (magnetisation) is the material's own response — how much it has itself become magnetised. For a linear material they are linked by M = χH, where χ is susceptibility.

Is magnetisation a vector or a scalar?

It is a vector. M points in the direction of the net aligned dipole moments. For paramagnetic and ferromagnetic materials M points along H; for diamagnetic materials M points opposite to H, which is why their susceptibility χ is negative.

How does M connect to B and H?

The total field inside a material is B = μ₀(H + M). Here μ₀H is the applied part and μ₀M is the extra field the magnetised material adds. Rearranging gives M = B/μ₀ − H, a form used in many numericals.

⚠️ The NEET trap
Writing magnetisation in A/m² or treating M as the total magnetic moment of the bar.
M = net magnetic moment / volume, unit A/m (A·m² ÷ m³ = A/m). M is per unit volume, not the whole object's moment.
🧠 Watch the unit and the volume.

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Frequently asked

What is the formula for magnetisation?

M = net magnetic moment / volume = m_net / V. For a linear material it also equals M = χH, where χ is the magnetic susceptibility and H is the magnetic intensity.

What is the unit of magnetisation M?

Ampere per metre (A/m), the same unit as magnetic intensity H.

How are B, H and M related?

B = μ₀(H + M). This means M = B/μ₀ − H. It shows the total field B is the applied part μ₀H plus the material's contribution μ₀M.

What does M = χH mean?

For a linear (para/dia) material, magnetisation is proportional to the applied intensity H. The constant χ (susceptibility) is positive for paramagnetic, small; negative for diamagnetic; and very large for ferromagnetic materials.

Why is magnetisation important for NEET?

M links a material's own response to the applied field and connects directly to susceptibility χ and permeability μ. Numericals on iron rods and solenoid cores use M = χH and B = μ₀(H+M).