3. A sphere of radius R is made of linear dielectric material of susceptibility Xe. The sphere is placed in a uniform el
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3. A sphere of radius R is made of linear dielectric material of susceptibility Xe. The sphere is placed in a uniform el
3. A sphere of radius R is made of linear dielectric material of susceptibility Xe. The sphere is placed in a uniform electric field E, in the z direction. (i) What are the boundary conditions? (ii) Find the potential inside and outside the sphere. (iii) From this potential derive expressions for E, D, and P inside and outside the sphere. Sketch these three E, D and P. (iv) What are the volume and surface induced charge densities in the dielectric?
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