1.A coaxial cable consists of a long straight filament surrounded by a long coaxial cylindrical conducting shell assume charge Q is on the filament zero net charge is on the shell and the electric field is E at a particular point P midway between the filament and the inner surface of the shell next you place the cable into a uniform external field -E what is the x-component of the electric field at P then ?
(a) 0
(b) between 0 and E
(c) E
(d) between 0 and -E
(e) -E
2.Consider an electric field that is uniform in direction throughout a certain volume. can it be uniform in magnitude? answer these questions
(a) assuming the volume is filled with an insulating material carrying charge described by a volume charge density and
(b) assuming the volume is empty space. state reasoning to prove your answer.