  An effective one-dimensional Schr\"odinger equation for a spinless particle
constrained to motion near a toroidal helix immersed in an arbitrarily oriented
constant magnetic field is developed. The dependence of the induced toroidal
moments on the magnetic flux through the helix is presented. The magnitude of
the moments depend strongly on the component of the field normal to the
toroidal plane. A strong dependence on coil eccentricity is also indicated. It
is also shown that field-curvature coupling potential terms are necessary to
preserve the Hermiticity of the minimal prescription Hamiltonian.
