A solid plastic sphere of radius R1=0.300m is contained inside a thin spherical shell of radius R2=0.600m and is concentric with it. In between and concentric is a thick spherical metal conducting shell of inner radius 0.400m and outer radius 0.500m with no net charge. The innermost shell carries total charge Q1 distributed uniformly throughout its volume. The outermost shell carries total charge Q2 distributed uniformly on its surface. At r=0.550m, the electric field is 53,500N/C radically outward. At r=0.650m, the electric field is 76,609N/C radially outward.
a. What are Q1 and Q2?
Find the electric field at given value of r, where r is the distance measured from the centers.
b. r=0.150m
c. r=0.250m
d. r=0.350m
e. r=0.450m
f. Find the surface charge densities on the inner and outer surfaces of metal conducting shell.