TY - GEN
T1 - Identities of incomplete elliptic integrals with application in electromagnetism
AU - Jiménez-Carballo, Carlos A.
AU - Ortiz-León, Gabriela
N1 - Publisher Copyright:
© 2024 Latin American and Caribbean Consortium of Engineering Institutions. All rights reserved.
PY - 2024
Y1 - 2024
N2 - In this article, a set of incomplete elliptic integrals is given to help engineering and physics students solve problems that are common in electromagnetism. First, a brief description of the elliptic integrals of the first kind and second kind is presented, followed by a list of identities of incomplete elliptic integrals involving sine and cosine functions, and finally, these identities are used to solve three physical systems: the first is the electric potential generated by a segment of a charged ring; the second is the magnetic field generated by a segment of a ring carrying a current; and the third is the magnetic field produced by an axially magnetized permanent magnet.
AB - In this article, a set of incomplete elliptic integrals is given to help engineering and physics students solve problems that are common in electromagnetism. First, a brief description of the elliptic integrals of the first kind and second kind is presented, followed by a list of identities of incomplete elliptic integrals involving sine and cosine functions, and finally, these identities are used to solve three physical systems: the first is the electric potential generated by a segment of a charged ring; the second is the magnetic field generated by a segment of a ring carrying a current; and the third is the magnetic field produced by an axially magnetized permanent magnet.
KW - Elliptic integrals
KW - electric potential
KW - magnetic field
KW - permanent magnet
UR - http://www.scopus.com/inward/record.url?scp=85203845381&partnerID=8YFLogxK
U2 - 10.18687/LACCEI2024.1.1.1789
DO - 10.18687/LACCEI2024.1.1.1789
M3 - Contribución a la conferencia
AN - SCOPUS:85203845381
T3 - Proceedings of the LACCEI international Multi-conference for Engineering, Education and Technology
BT - Proceedings of the 22nd LACCEI International Multi-Conference for Engineering, Education and Technology
PB - Latin American and Caribbean Consortium of Engineering Institutions
T2 - 22nd LACCEI International Multi-Conference for Engineering, Education and Technology, LACCEI 2024
Y2 - 17 July 2024 through 19 July 2024
ER -