Title :
Numerical calculation for the magnetic field in current-carrying circular arc filament
Author_Institution :
Dept. of Electr. Eng., Shanghai Jiaotong Univ., China
fDate :
3/1/1998 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
