Electromagnetic properties of the linear oscillating currents flowing through toroidal knots

Magnetic and toroid formfactors as well as the radiation intensity for a linear oscillating current flowing through a (knotted) toroidal spiral with a fractional number n=q/p(p,q=integers) of turns of winding are calculated. Some topological properties of such current lines are analyzed by studying the isotopic deformations when the ratio epsilon of the torus radii varies from 0 to 1 and a critical value is found for it, epsilon(c)=p(2)/(p(2)+q(2)), at which the Calugareanu invariant K (integer number) jumps by q units.