Curie's Law Calculator

Curie's law says a paramagnet's magnetization is proportional to field and inversely to temperature.

How the Math Works

Curie's Law reveals how magnetic materials respond to magnetic fields. The formula M = C·B ÷ T shows that magnetization (M) equals the Curie constant (C) multiplied by magnetic field strength (B), divided by temperature (T). The Curie constant is a material-specific property that quantifies how strongly a paramagnetic material magnetizes. When you input values for B and T, the calculator applies this direct proportionality: stronger fields increase magnetization, while higher temperatures reduce it. The division by absolute temperature in Kelvin is crucial - it ensures that thermal agitation works against magnetic alignment, making the relationship physically meaningful.

Practical Applications

Use this calculator when working with paramagnetic materials in laboratory settings or engineering applications. Measure your sample's magnetic field strength in tesla (T) and its temperature in kelvin (K), then input these values to determine the expected magnetization. This is essential for designing magnetic storage devices, studying material properties, or calculating magnetic susceptibilities in research. Always ensure your temperature measurement is in absolute units - converting from Celsius requires adding 273.15. The calculator handles the arithmetic, allowing you to focus on interpreting results for your specific material and experimental conditions.

Day-to-Day Use

While you may not calculate Curie's Law daily, its principles affect technologies you encounter regularly. MRI machines in hospitals use paramagnetic materials whose behavior follows this law, helping create detailed images of your internal anatomy. The magnetic cores in your computer's hard drive and transformers rely on controlled magnetic properties. Even certain types of thermometers and scientific instruments in research labs use paramagnetic materials to measure temperature changes. Understanding this fundamental magnetic relationship helps engineers design better electronic devices and medical equipment that improve everyday life.

Worked example

C 0.01, B 1 T, 300 K → about 3.3 × 10⁻⁵ A/m.

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