The magnetic field circulation counterpart to Biot-Savart’s law

J. M. Ferreira, Joaquim Anacleto

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


The circulation, around an arbitrarily shaped loop, of the magnetic field generated by the flow of a volume distribution of current through a conducting medium is derived, in the zero retarded-time limit, using the Biot-Savart law. This circulation formula is validated for the particular case where the conducting medium is a finite length of arbitrarily shaped wire, and the distinction between the resulting expression and one obtained from the magnetic scalar potential is highlighted.

Original languageEnglish
Article number234
JournalEuropean Physical Journal Plus
Issue number6
Publication statusPublished - 1 Jun 2018


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