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An insulating sphere of radius a has charge density p(r) = P0r^2, where P0 is a...

An insulating sphere of radius a has charge density p(r) = P0r^2, where P0 is a constant with appropriate units. The total charge on the sphere is -3q. Concentric with the insulating sphere is a conducting spherical shell with inner radius b > a and utter radius. The total charge on the shell is +2q. Determine

a. the magnitude of the electric field at the following locations: (i) r < a, (ii) a < r < b, (iii) b < r < c, (iv) r > c

b. The total charge on the inner and outer surface of the shell

c. The surface charge density on the inner and outer surface of the shell

d. P0 in terms of q,a, and the fundamental constants.

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