A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d.

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A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d.

A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has total charge +2q, and the outer shell has charge +4q.

(a) Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a, b < r < c, and r > d. Note that we are leaving the region in the body of the conductors for later.

(b) Below the figure, graph the electric field strength as a function of r.

(c) Finish parts (a) and (b) by noting the electric field that should exist in the body of a conductor that is in static equilibrium (no battery attached making charge flow).

(d) Draw a gaussian surface through the body of the smaller conducting shell and then use Gauss's law to determine the charge on the inner surface of the small shell. Determine the charge on the outer surface of the shell. Repeat

this process for the large shell.

(e) What is the surface charge density o on the outer surface of the large shell? (Hint: Do you know the formula for the surface area of a sphere?)

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