Q1:A hollow metal sphere has inner radius a and outer radius b. The hollow sphere has charge +Q. A point charge +2Q sits at the center of the hollow sphere. a) Determine the magnitude of the electric field in the region r ≤a. 8 points, out of which 2 points are for the correct equation(s) with their names, 2 points are for a correctly labeled figure showing the charges on all surfaces, and 2 points for showing how the integral is simplified. b) Determine the magnitude of the electric field in the region r > b. 7 points, out of which 2 points are for the correct equation(s), 2 points are for a correctly labeled figure showing the charges on all surfaces, and 2 points for showing how the integral is simplified.

Fig: 1