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Steady periodic temperature. transient temperature, and stresses produced in an isotropic cylindrical conductor carrying an electric alternating current are calculated. The investigations are made for the small skin effect when the current density is homogeneous. PACS numbers: 47.25.Qv. 44.iO.+i 4363 J.

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It is demonstrated that the Bubnov-Galerkin method coupled with the separation of variables method can be applied for solving exterior alternating field problems. As an example illustrating the use of the method, the inner impedance of a rectangular conductor is calculated. Though the method is approximate, exact values of the impedance have been obtained by iterative numerical processes. The method can be used when the field or the vector potential do not vanish at infinity, and when the energy associated with the whole space is infinite.

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