Maxwell’s equations in materials

⃗𝐇-field

The ⃗𝐇-field is an auxiliary field defined as

⃗𝐇=⃗𝐁𝜇0−⃗𝐌

where ⃗𝐁 is the magnetic field and ⃗𝐌 is the magnetization. ⃗𝐇 satisfies Ampère’s law for magnets which is analogous to Ampère’s law satisfied by ⃗𝐁, however unlike ⃗𝐁 it is not in general divergenceless (⃗∇ ×⃗𝐇 = −⃗∇ ×⃗𝐌).

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