Consider the hollow magnetized cylinder shown The wall thick

Consider the hollow magnetized cylinder shown. The wall thickness Delta W of the shell is small and the magnetization M of material comprising the shell is constant and directed axially. Suppose you write H = sigma where a is a \"bound surface magnetic charge\". Find sigma for this system. What is Times H everywhere?

Solution

a. delta . (H) = sigma = - (delta).M = -(d/dx i + d/dy j + d/dz k).Mi = -dM/dx = 0 (constant magnetisation)

b. Delta x H = 0 everywhere (in absence of free electric currents and time dependent effects)