Sur l'electro-dynamique d'Ampere
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As Ampere was excited by the experiments of Oersted, be began to study electromagnetic in September, 1820. For two months at first, he remained a mere experimenter, whose object was to observe respectively three phenomena (the action between two currents, the action between a current and a magnet, and the action between a current and terrestrial magnetism), and to prove finally his idea of the identity of electricity and magnetism. He became a mathematician again and found the law of current sinueux by experience. On Dec. 4, 1820, he presented to the Academy his first formula between two elements of currents: (ids ids')/(r^2) (sin θ sin θ' cos w + k cos cos θ') In this formula, he didn't yet determine the constant k. It was Faraday's experiments in electromagnetic rotation that made him turn so earnestly toward the determination of k that is equal to -1/2.
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