a) Q' = - Q.
b) same as part a).
c) Q' = - (Q+q).
d) Yes, since E remains zero on surface A regardless of where the sphere is placed inside the shell.
a) radially inward, with
b) - q on both inner and outer surfaces.
c) same as part a) but radially outward.
e) inner, - q; outer, 0
a) The two conductors are connected by a third conductor (the wire), thus V1 and V2 must be the same.
b) q1 = 1/3 q; q2 = 2/3 q.
c) Ratio of charge densitites is 2.