📐 Curies Law 計算機

Curie's Law, named after physicist Pierre Curie, describes how a paramagnetic material responds to an applied magnetic field. It states that the magnetization (M) of a paramagnet is directly proportional to the applied magnetic field (B) and inversely proportional to the absolute temperature (T). In other words, as you heat a material its magnetization weakens, and as you increase the field its magnetization grows. The law holds well for paramagnetic substances at high temperatures or low magnetic fields.

Enter three values: the Curie constant C (a material-specific property), the magnetic field B in teslas, and the absolute temperature T in kelvin. The calculator returns the magnetization M. Make sure temperature is in kelvin (K = °C + 273.15) and is greater than zero, since dividing by zero temperature is undefined.

The relationship is simply

The Curie constant C captures the density and magnetic moment of the material's atoms. Multiplying by the field B increases alignment of the magnetic dipoles, while dividing by temperature T accounts for thermal agitation that randomizes those dipoles. The competition between field-driven ordering and heat-driven disorder is what produces the inverse-temperature dependence.

Suppose a paramagnetic sample has a Curie constant C = 1 K·A/(m·T), sits in a field of B = 0.5 T, and is held at T = 300 K. Then

If you cooled the sample to 150 K, the magnetization would double to about 0.0033333 A/m.