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Curie-Law Magnetization Estimate

Relate positive magnetization, applied flux density, absolute temperature and a fitted Curie coefficient.

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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

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Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

At 300 K, a coefficient of 300 K·A/(T·m) and 2 T give 2 A/m.

M = C B/T, with T in kelvin.

Worked example

Enter these known values and leave the other values blank.

Curie constant
300 K·A/(T·m)
Applied magnetic flux density B
2 T
Temperature
26.85 °C
Magnetization
2 A/m

Assumptions and limitations

  • This is the unsaturated Curie-law approximation for a paramagnetic sample. It neglects material interactions and temperature-dependent changes in the fitted coefficient.
  • The coefficient here relates magnetization to magnetic flux density B, rather than magnetic field strength H. Its units are K·A/(T·m).
  • Temperature is converted to kelvin before division. The retained model requires positive coefficient, field, magnetization and absolute temperature.
  • Enter known quantities and leave the unknown blank. Editable quantities support inverse solutions and locks; inconsistent locked quantities are reported. Unit selectors convert the quantity independently of its display.

Common questions

Why does the formula use kelvin?

The inverse-temperature relation uses an absolute temperature. Celsius and Fahrenheit are converted to kelvin before calculation.

What happens if temperature doubles?

At fixed coefficient and applied flux density, magnetization halves within this ideal paramagnetic approximation.

How do I use the inverse calculation?

Clear the quantity you want to find and enter the remaining known values in their selected units. The model can only solve branches with enough independent information.

References

The calculation equations, inverse formulas, units, and input rules were imported from this source. Bookify provides the interface and equation solver.

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