A sphere of radius R1 has a volume charge density given by row =Mr where r is the radial distance from the center of the sphere.The sphere is surrounded by an uncharged metal shell out to radiusR2.
1) Determine an expression in terms of the constants given forthe total charge Q in the sphere of charge density
2) Determine an expression for the electric field in the threeregions r < R1, R1 < r < R2, r > R2.
3) What is the surface charge density on the inner surface ofthe metal?
