Unformatted text preview: R , one conducting, one having a uniform charge density within its volume, and one having a spherically symmetric charge density that varies radially as r n ( n >3), has a total charge Q . Use Gauss’s theorem to obtain the electric ﬁelds both inside and outside each sphere. Sketch the behavior of the ﬁelds as a function of radius for the ﬁrst two spheres, and for the third with n =2 , +2. 4. Prove that the following charge distribution ρ = q n Y i =1 ( a i · ∇ ) δ ( r ) creates the potential φ ( r ) = q n Y i =1 ( a i · ∇ ) 1 r...
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 Fall '10
 krill
 Charge, Fundamental physics concepts, Bohr radius, uniform charge density, symmetric charge density

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