A point charge Q is trapped at the center of a thin-walled hollow conductive sphere of radius R, which itself carries a net charge of -3Q.
a. How much charge will collect on the inside surface of the hollow sphere?
b. How much charge will collect on the outside surface of the hollow sphere?
c. Draw a picture of this arrangement, including a depiction of any electric field lines.
d. Graph the resulting electric field E as a function of distance from the center, r.