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I would like to evaluate the required work to create a 1 T field with a permanent magnet. I saw a few formulas on the internet, but I don't know how to use them correctly. The main one are

[itex]B={{\mu }_{0}}\left( H+M \right)[/itex]

[itex]{{W}_{mag}}=\frac{{{B}^{2}}}{2{{\mu }_{0}}}Vol[/itex]

Let's say I know all the properties of the magnet (remanence, volume, density, etc.) and also the magnetization as a function of B and the temperature. If I use the 2nd formula to compute, the magnitude of the work is about 10 J, which is insanely low.

How do you proceed to evaluate this work correctly ?

Thank you