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Curie's law calculator

Use the SI convention M = C H/T, with field strength H in A/m and Curie constant C in kelvins.

Calculator

Magnetization M (A/m)
3.33333333
Volume susceptibility
0.00333333

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How this calculator works

For an ideal paramagnet in weak applied field, thermal disorder opposes dipole alignment and volume susceptibility varies as C/T. Here M and H both use A/m, so susceptibility is dimensionless and C has units K. A formula written with magnetic flux density B in teslas uses a differently scaled constant; do not insert B into the H field. Saturation and interacting magnetic moments require a more complete model.

Formula

chi = M/H = C/T; M = CH/T. In a weakly magnetic medium B is approximately mu0 H.

Worked example

With C = 1 K, H = 1000 A/m and T = 250 K, M = 4 A/m and chi = 0.004. Doubling temperature to 500 K halves M to 2 A/m.

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Frequently asked questions

Is this the Curie-Weiss law?

No. Curie-Weiss replaces T with T minus a material interaction temperature.

Can field be signed?

Yes. A positive Curie constant gives magnetization with the same sign as the applied field.

Where does the approximation fail?

At strong field, low temperature, magnetic ordering or saturation, the simple inverse-temperature law can fail.

Sources

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