uniformly polarized dielectric sphere

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. [20 pts]: A uniformly polarized dielectric sphere with a radium r=a is located at the origin and has an internal permanent polarization, P = Po z , that is pointed along the +z-direction with a magnitude, Po. Similar to ferromagnetic materials that maintain their internal magnetization even when external magnetic fields are shut off, these ferroelectric materials will maintain their polarization fields in the absence of an external electric field, Eext=0, for all parts of this question. 1.1.1. Find the volume, ps(r), and surface, os(r), bound charge distributions in this ferroelectric material. [10 pts) 1.1.2.Find the displacement field, D(r), both inside (ra) the ferroelectric sphere. [10 pts]

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