In: Physics
A solid and nonuniformly charged insulating sphere has two regions of interest as shown above. The charge per unit volume depends on the distance from the center of the sphere, ρ(r) = Ar-2e-br for r ≤ a. The parameters are given as A = 4.20 pC/m, b = 2.90 m-1, and a = 0.370 m. (a) Determine the electric flux through a Gaussian sphere with a radius r = 0.560 m and centered about the solid insulating sphere as shown above to the left. (b) Determine the magnitude of the electric field at r = 0.560 m. (c) Determine the electric flux through a Gaussian sphere with a radius r = 0.190 m and centered about the solid insulating sphere as shown above to the right. (b) Determine the magnitude of the electric field at r = 0.190 m.