A spherically symmetrical load distribution, however not uniform, has a density ρ(r) given by: ρ(r) = ρ0(1-r/R), for r≤R,            0,             for r≤R where ρ0 = 3Q/πR3 it is a positive constant. (a) Show that the total load contained in the distribution is equal to Q. (b) Show that the electric field in the region r≥R is identical to the electrical component produced by a point charge Q, located at r = 0. (c) Obtain an expression for the electric field in region r≤R. (d) Graph the electric field module E as a function of r.

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.