The Ampère and Biot - Savart force laws

Abstract

The known equivalence between the Ampère and Biot - Savart force laws, for closed circuits carrying an electric current, is here extended to the case of the force on a part of a circuit and due to the action of the other part of the same circuit. Our theorem invalidates some criticism made to the Biot - Savart law and the experimental results favouring Ampère's law. A recent experiment is in agreement with the here proved theorem. Riassunto. La nota equivalenza fra le leggi di Ampère e di Biot - Savart per circuiti chiusi percorsi da corrente elettrica, viene qui estesa al caso della forza su una parte di un circuito e dovuta all'azione delle altre parti dello stesso circuito. Questo teorema invalida la critica fatta alla legge di Biot - Savart ed anche i risultati sperimentali che sembrerebbero favorire la legge di Ampère. Un recente esperimento è in accordo col teorema qui dimostrato.

Designing a Sine-Coil for Measurement of Plasma Displacements in IR-T1 Tokamak

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