6. Two thin, concentric conducting shells have radii a and b, a < b, carrying a total charge q. The shells are joined together by a conducting wire which passes through a resistor of resistance R. At time t, the charges on the outer shell and inner shell are q and q-q respectively. Initially q0)=0.
a) Find the potential difference between the shells at time t.
b) Set up a differential equation in q which describes the flow of charges.
c) Solve the equation in b to find q [Hint: Assume a solution of the form q)=Ae+B. Find, A, B, and k.]