The fields induced in a conducting sphere of resistivity, &eegr;, placed in a strong, steady magnetic fieldBaz⁁, and a small oscillatory magnetic field (in thexyplane) of magnitudeB&ohgr;have been calculated approximately forB&ohgr;/Ba≪1 andBa/ne&eegr; ≪1, wherenis the number density. The conducting sphere is assumed to have a uniform resistivity and number density and the ions are assumed immobile. It has been shown that: (a) If the applied oscillatory field is linearly polarized, the magnetic field induced in the conducting sphere has a rotating component for which &ohgr; is parallel toBaz⁁. (b) If the applied oscillatory field is rotating (circularly polarized), its penetration in the conducting sphere is enhanced or impeded with respect to the classical skin effect depending on whether the sense of rotation is parallel or antiparallel toBaz⁁. These results are consistent with the experimental observation in the rotating field plasma experiments.