
1983E1. Two concentric, conducting spherical shells, A and B , have radii a and b , respectively, (a<b). Shell B is grounded, whereas shell A is maintained at a positive potential Vo
a. Using Gauss's law, develop an expression for the magnitude E of the electric field at a distance r from the center of the shells in the region between the shells. Express your answer in terms of the charge Q on the inner shell.
b. By evaluating an appropriate integral, develop an expression for the potential Vo in terms of Q , a, and b.
c. Develop an expression for the capacitance of the system in terms of a and b