A nonuniform, but spherically symmetric, distribution of charge has a charge density p(r) given asfollows:p(r) = po (1 – r/R) for r < Rp(r) = 0 for r > Rwhere po = 3Q/TR° is a positive constant. (a) Show that the total charge contained in the chargedistribution is Q. (b) Show that the electric field in the region r > Ris identical to that produced by apoint charge Q at r = 0. (c) Obtain an expression for the electric field in the region r < R. (d) Graphthe electric-field magnitude E as a function of r. (e) Find the value of r at which the electric field ismaximum, and find the value of that maximum field. (modified from Young and Freedman, 2014)

We can see that the entire charge is present within the sphere of radius R. Let's take a spherical…

Answered: A nonuniform, but spherically…

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