TY - JOUR
T1 - The magnetic field circulation counterpart to Biot-Savart’s law
AU - Ferreira, J. M.
AU - Anacleto, Joaquim
N1 - Sem PDF conforme despacho.
PY - 2018/6/1
Y1 - 2018/6/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85048866394&partnerID=8YFLogxK
U2 - 10.1140/epjp/i2018-12097-7
DO - 10.1140/epjp/i2018-12097-7
M3 - Article
AN - SCOPUS:85048866394
SN - 2190-5444
VL - 133
JO - European Physical Journal Plus
JF - European Physical Journal Plus
IS - 6
M1 - 234
ER -