10. Suppose you have a spherical shell made of copper with inner radius R = 20 cm, outer radius R = 22 cm, and total charge +25.0 C. The region between R and R is a solid shell of copper, and the region for r < R is empty space.
a. What is the Electric Field for R < r < R inside the solid shell? Explain.
b. What is the Electric Field for r < R (in the inner cavity)? Explain.
c. What is the Electric Field at a distance of 30 cm from the center of the spheres? (Give numerical magnitude and direction) (Show all your work!)
d. What is the Electric Potential at a distance of 30 cm from the center of the spheres? (Give actual numerical value) (Show all your work!)
e. What is the Electric Potential at r = R? (Show all your work!)
f. What is the Electric Potential for r < R?
g. Where are the charges located? Be specific.
h. What is the Electric Flux through a spherical surface with radius 100 cm concentric with the spheres? (Give actual numerical value) (Show all your work!)