Consider a spherically symmetric charge density p(?) that is confined to a ball of radius R, p(T) = Anr"O(R-r), n > -3 =

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Consider A Spherically Symmetric Charge Density P That Is Confined To A Ball Of Radius R P T Anr O R R N 3 1 (112.37 KiB) Viewed 40 times

Consider a spherically symmetric charge density p(?) that is confined to a ball of radius R, p(T) = Anr"O(R-r), n > -3 = in spherical coordinates (r,0,0). The total charge of the distribution is Q. a) Obtain the constant An as a function of n and Q. b) Considering the symmetries of the system, explain in which direction the electric field must point, on which variables it can depend. Make an Ansatz for Ē(F). Use this Ansatz and Gauß theorem to derive the electric field from the Maxwell equations. 1 c) Now, compute the electric potential $() = p() d' ir – Verify that Ē (") = -7°(7) holds. 4560 Jerry Play =