Running inductance of cylindrical conductors with axial current density

The analytic method for calculation of inductance and magnetic characteristics of infinitely long circular and tubular conductors has been proposed. The method permits: 1) to calculate radial distribution of vector potential and induction of magnetic fields, being formed by direct current in the internal and external areas of conductor; 2) to determine the value of magnetic flux in the internal and external areas of conductor; 3) to calculate the current's and flux's running inductances of circular and tubular conductors; 4) to find frequency dependence of Q-quality of tubular conductors and to define the scales of characteristic frequencies.