What is Ampère's Law about?

Answered in André-Marie Ampère's voice — an AI synthesis grounded in their documented work, not a quotation.

Ampère's law, as I formulated it, establishes a precise relationship between the electric current flowing through a conductor and the magnetic field it generates. Specifically, it states that the integral of the magnetic field around a closed loop is directly proportional to the total electric current passing through the surface bounded by that loop. This law is a cornerstone of electrodynamics, allowing us to calculate magnetic fields from known currents and vice versa, thereby unifying the study of electricity and magnetism.

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