• DocumentCode
    1342963
  • Title

    Numerical calculation for the magnetic field in current-carrying circular arc filament

  • Author

    Chu, Yuesen

  • Author_Institution
    Dept. of Electr. Eng., Shanghai Jiaotong Univ., China
  • Volume
    34
  • Issue
    2
  • fYear
    1998
  • fDate
    3/1/1998 12:00:00 AM
  • Firstpage
    502
  • Lastpage
    504
  • Abstract
    This paper introduces numerical calculations for the vector potential and the magnetic field in current-carrying circular arc filaments of arbitrary length. The analytical expressions which are derived in Cartesian coordinates for the vector potential and magnetic field consist of only complete and incomplete elliptic integrals of the first and second kinds and thus permit an efficient computation algorithm by applying arithmetic-geometric mean (AGM) numerical integrals
  • Keywords
    magnetic fields; Cartesian coordinates; arithmetic-geometric mean numerical integral; computation algorithm; current-carrying circular arc filament; elliptic integral; magnetic field; vector potential; Algebra; Algorithm design and analysis; Conductors; Integral equations; Magnetic analysis; Magnetic fields; Magnetic resonance imaging; Magnets; Nuclear magnetic resonance; Transforms;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/20.661481
  • Filename
    661481