Biot–Savart law, in electromagnetics, it describes the magnetic field set up by a steady current density.
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The abampere (aA), also called the biot after Jean-Baptiste Biot, is the basic electromagnetic unit of electric current in the emu-cgs system of units (electromagnetic cgs).
Biot translated Charles Babbage's On the Economy of Machinery and Manufacture into French and was the author of one of the earliest works on the railways, the Manuel du constructeur des chemins de fer (Manual of Railway Construction), published in 1834.
Then, under Lord North government on Ionian Islands, his talent was remarked and he was sent to study mathematics in Ecole polytechnique, under Biot, Cauchy, Poisson and Fourier.
To publish it in correct form, Jean-Baptiste Biot wrote, he had to consult Stanislas Julien, the famous Sinologist, but also, especially for the translation of the most difficult part, the Kaogongji, he himself had to visit many workshops and questioned artisans and craftsmen about their methods and vocabulary in order to verify his son's work.
These equations are the time-dependent generalization of Coulomb's law and the Biot-Savart law to electrodynamics, which were originally true only for electrostatic and magnetostatic fields, and steady currents.
He collaborated also on the mosaic for the façade of the Musée national Fernand Léger in Biot (Alpes-Maritimes).
These observations were carried out by Biot, with the assistance of Mudge and of his son Richard Zachariah Mudge, at Leith Fort on the River Forth, and Biot assisted Mudge in extending the arc to Uist in the Shetland Islands.