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This paper presents a new formulation for skin effect problems in current carrying conductors. The specific difficulties arising in such problems stem from the fact that total measurable currents in conductors rather than local current density distributions are required to be given. These difficulties are particularly significant in the case of three-dimensional (3-D) problems. A new approach presented in this paper attempts to circumvent these difficulties by means of special modification of field equations outside the conductors. As a result of such a modification, the total currents in the conductors appear explicitly in the formulation through the boundary conditions.