This solution derives the expression for the magnetic field inside the spherical shell with magnetic permeability mu and with an inner and outer radius of a and b, respectively. This object is placed in a uniform and constant magnetic field Ha. As this is a steady-state problem, no currents exist and the magnetic field H can be derived using the Laplace's equation as a starting point. For this types of problems, the solution can generally be expressed in terms of Legendre polynomials.© BrainMass Inc. brainmass.com March 22, 2019, 2:05 am ad1c9bdddf
The magnetic field inside a spherical shell with magnetic permeability mu and with an inner and outer radius of a and b, respectively, is derived. This field outside the spherical shell is uniform and has a constant magnetic field of Ha. As no currents exist, the magnetic field H can be derived using the Laplace's equation and the solution is expressed in terms of Legendre polynomials.