13. (20 points) A solid non-conducting sphere of radius R, is uniformly charged with volume charge...
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13. (20 points) A solid non-conducting sphere of radius R, is uniformly charged with volume charge density p₁. It is surrounded by a spherical metal shell of inner radius R₂ and outer radius R₁, which has total electric charge Q. If the centers of the two spheres are displaced from each other by a distance d, where d < (R₂ - R₁). R, R₂ R₁ a) What is the total electric charge 4, on the non-conducting sphere? b) What is the electric charge q, on the inner surface of the metal shell? c) What is the surface charge density o on the outer surface of the metal shell? d) What is the total charge q, on the outer surface of the metal shell? e) What is the electric field inside the bulk of the metal shell, i.e. at points with radius between R₂ and R,? f) What is the electric field outside the metal shell? 13. (20 points) A solid non-conducting sphere of radius R, is uniformly charged with volume charge density p₁. It is surrounded by a spherical metal shell of inner radius R₂ and outer radius R₁, which has total electric charge Q. If the centers of the two spheres are displaced from each other by a distance d, where d < (R₂ - R₁). R, R₂ R₁ a) What is the total electric charge 4, on the non-conducting sphere? b) What is the electric charge q, on the inner surface of the metal shell? c) What is the surface charge density o on the outer surface of the metal shell? d) What is the total charge q, on the outer surface of the metal shell? e) What is the electric field inside the bulk of the metal shell, i.e. at points with radius between R₂ and R,? f) What is the electric field outside the metal shell?
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