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Abstract

A new proof of Ampere's law from the Biot-Savart law is presented. In the first step, a physical interpretation of current as moving charges carrying their electric fields with them simplifies the derivation of the magnetic field of current in a straight infinitely long conductor. The m.m.f. of a finite electric circuit linking a magnetic path is synthesized from those of two infinitely long wires carrying equal currents in opposite directions, only one of them threading the path. This makes the second step rigorous, enabling a non-mathematical treatment of the magnetic effects of electric currents in free space.

Keywords

Ampere's law electromagnetics postulates proof

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Ampere's Magnetic Circuital Law: A Simple and Rigorous Two-Step Proof

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