Exact Analytical Demagnetizing Factors for Long Hollow Cylinders in Transverse Field

Analytical expressions are derived for the magnetometric
Nm
and fluxmetric
Nf
demagnetizing factors of infinitely long, hollow cylinders with uniform susceptibility in transverse uniform applied field. Whereas
Nm
depends on both permeability μ and the ratio of the internal and external radii of the cylinder,
Nf
does not depend on μ. The magnetic induction and magnetic field of materials with conjugate relative permeabilities μ and 1/μ are related.