Analytical expressions for the components of the vector potential and magnetic field of a current-carrying circular arc filament of arbitrary length are derived. Components of the field gradient are also calculated. All the expressions developed consist of only known functions such as Jacobian elliptic functions, complete and incomplete elliptic integrals of the first and second kind, and thus permit a new time-saving efficient computation algorithm.
No takes yet. Share an insight, caveat, or question.
L. Urankar (1980) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: