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A solid sphere of nonconducting material has a uniform positive charge density ρ (i.e. positive charge...

A solid sphere of nonconducting material has a uniform positive charge density ρ (i.e. positive charge is spread evenly throughout the volume of the sphere; ρ=Q/Volume). A spherical region in the center of the solid sphere is hollowed out and a smaller hollow sphere with a total positive charge Q (located on its surface) is inserted. The radius of the small hollow sphere R1, the inner radius of the solid sphere is R2, and the outer radius of the solid sphere is R3. Find the electric field in the following regions and sketch when asked to:

a.r<R1

b.R1<r<R2

c.R2<r<R3

d.R3<r

e. Sketch a graph of the E-field as a function of distance from the center of the spheres.

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