Demagnetizing Factors for a Hollow Sphere

Jordi Prat-Camps, Carles Navau, Alvaro Sanchez, Du Xing Chen

Research output: Contribution to journalArticleResearchpeer-review

15 Citations (Scopus)


© 2010-2012 IEEE. The demagnetization problem for a hollow sphere of inner radius a, outer radius b, and material susceptibility χ is solved analytically. As a/b increases from 0 to 1, the magnetometric demagnetizing factor Nm decreases from 1/3 when χ > 0 and increases from 1/3 when χ < 0. In the limit a/b = 1, Nm decreases from 1 to 0 as χ increases from -1 to -. As a/b increases from 0 to 1, the fluxmetric demagnetizing factor N f decreases from 1/3 and has a negative minimum when χ < -3/4. These features are explained conceptually and quantitatively. As an application, magnetic shielding by a spherical shell is quantitatively analyzed.
Original languageEnglish
Article number7329945
JournalIEEE Magnetics Letters
Publication statusPublished - 1 Jan 2016


  • Demagnetization
  • Ellipsoids
  • Magnetic noise
  • Magnetic shielding
  • Magnetic susceptibility
  • Magnetization
  • Magnetometers


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