The Charge Inside a Conductor
A spherical cavity is hollowed out of the interior of a neutral conducting sphere. At the center of the cavity is a point charge, of positive charge .
Part A
What is the total surface charge on the interior surface of the conductor (i.e., on the wall of the cavity)?
Hint A.1 Hint not displayed
 =
Part B
What is the total surface charge on the exterior surface of the conductor?
Hint B.1 Hint not displayed
 =
Part C
What is the magnitude of the electric field inside the cavity as a function of the distance from the point charge? Let , as usual, denote .
Hint C.1 How to approach the problem Hint not displayed
Part C.2 Charge distributions and finding the electric field Part not displayed
 0
Part D
What is the electric field outside the conductor?
Hint D.1 Hint not displayed
Hint D.2 Hint not displayed
 zerothe same as the field produced by a point charge located at the center of the spherethe same as the field produced by a point charge located at the position of the charge in the cavity
Now a second charge, , is brought near the outside of the conductor. Which of the following quantities would change?
Part E
The total surface charge on the wall of the cavity, :
Hint E.1 Hint not displayed
 would changewould not change
Part F
The total surface charge on the exterior of the conductor, :
Hint F.1 Hint not displayed