Alternating current distribution in solid turnings

The turn under consideration consists of two parallel bars each connected at right angles by a coupling bar of different conductivity. The skin-effect boundary value problem in question is solved by setting up expressions for the magnetic field and satisfying the boundary conditions on the junction. This leads to a system of linear equations for the setup-coefficients that is solved numerically. Using matrix notation, general expressions for the stream function are given, checked and evaluated. The AC-results are discussed by comparison with the DC-solution found by conformal mapping. It is found for cases of practical interest that in the intermediate neighbourhood of a sharp edged turn no reasonable difference exists between the AC- and DC-distributions.