Aspherical conducting shell with zero net charge has an inner radius a and an outer radius b. a point charge q is placed at the center of the shell.

(a) use gauss's law and the properties of conductors in electrostatic equilibrium to find the electric field in the regions r < a, a < r < b, and b < r. (use any variable or symbol stated above along with the following as necessary: k.)

er < a =
ea < r < b =
eb < r =

(b) draw the electric field lines for this situation. (do this on paper. your instructor may ask you to turn in this work.)

(c) find the charge density on the inner surface (r = a) and on the outer surface (r = b) of the shell. (use a, b, q, and k as necessary.)

σinner =
σouter =