This paper considers the analytical solution to the problem of low-frequency induction, by quasi-uniform magnetic fields parallel to the equatorial plane, in an equatorially stratified sphere having the particular conductivity distribution &sgr;(&phgr;)=&sgr;0e-&lgr;cos(p&phgr;), where p∈{1,2} is a periodicity factor, &sgr;0 is a conductivity amplitude factor, and &lgr;>0 is a dimensionless conductivity contrast parameter. This distribution has p conductivity maxima and minima as a function of equatorial angle. The resulting induced electric and current density fields are fully three-dimensional and exhibit interesting, yet physically reasonable, behavior. Most noticeable are current vortices associated with each conductivity maximum. These solutions are supplementary to one previously published for the magnetic source vector perpendicular to the equatorial plane and so complete the solution for induction in the sphere by quasi-uniform magnetic sources. The nature of the solution is illustrated for the case of both singly and doubly periodic conductivity distributions, for two orthogonal source directions.¿ 1997 American Geophysical Union