Chapter 4 Linear Dielectrics: Problem 4.20 + 4.35
Problem 4.20
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A sphere of linear dielectric material has embedded in it a uniform free charge density ?. Find the potential at the center of the sphere, if its radius is R and its dielectric constant is K.
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Problem 4.35
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Prove the following uniqueness theorem: A region S contains a specified free charge distribution rf and various pieces of linear dielectric material, with the susceptibility of each one given. If the potential is specified on the boundary of S (and V = 0 at infinity) then the potential throughout S is uniquely defined.