A thin, flat, conducting, circular disc of radius R is located in the x-y plane with its center at the origin, and is maintained at a fixed potential V. With the information that the charge density on a disc at fixed potential is proportional to (R² ? ?²) ^??, where ? is the distance out from the center of the disc,

(a) Show that for r > R the potential is

(b) Find the potential for r

(c) What is the capacitance of the disc?

2V R (-1) (R (-1y 7 ri-o 21 +1 D(r, 6, 4) Py(cos 0) %3!