Assignment:
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of +2q, and the outer shell has a total charge of +4q.
a) Calculate the electric field (magnitude and direction) in terms of q and the distance r from the common centre of the two shells for i) r < a; ii) a < r < b; iii) b < r < c; iv) c < r < d, and v) r > d. Show your results as a graph.
b) What is the charge on the inner and outer surfaces of both the small and large shells?
Provide complete and step by step solution for the question and show calculations and use formulas.