Magnetic field, vector potential, and their partial derivatives due to a currentcarrying straight wire of finites length
Abstract
A numerical study is made of a problem dealing with calculation of the magnetic field B vector, the magnetic vector potential A vector, and first partial derivatives of the B vector field and A vector components for two kinds of magnetic sources: (1) currentcarrying straight wire of finite length; and (2) currentcarrying closed polygon. No restrictions are imposed on the type of the polygon and hence it need not be plane and can consist of an arbitrary number of straight wires of arbitrary lengths. Separate consideration of the polygon case makes the numerical procedures more efficient than that based on the linear superposition of the straightwire sources. All necessary quantities are derived analytically in simple and closed forms without use of any approximations and exact relations are utilized to the greatest possible extent to give an efficient algorithm. Thus, the involved numerical procedures are quite simple, fast, accurate, and straightforward. Results are given in four different coordinate systems (cartesian, cylindrical, spherical, and local toroidal).
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 December 1981
 Bibcode:
 1981STIN...8229552L
 Keywords:

 Algorithms;
 Electric Current;
 Electric Wire;
 Magnetic Fields;
 Mathematical Logic;
 Numerical Analysis;
 Vectors (Mathematics);
 Electronics and Electrical Engineering