A spherical conductor (radius R) that is neutrally charged has two spherical cavities A and B of radii a and b, respectively. Charges +q_a and +q_b are placed at the center of the two cavities by using nonconducting supports. In addition, a point charge +q_0 is placed outside at a distance r from the center of the sphere.
a. The charges in the cavity will polarize the sphere, even though it has no net charge. Draw approximate charge distributions in the sphere (use the number of positive and negative charges to represent the amount of charge).
b. Draw electric field lines. Draw enough lines to represent all distinctly different places.