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a) Which of the following is a correct description of the motion of the dipole immersed in a uniform electric field as shown in the figure? E +Q A. It will rotate clockwise. B. It will rotate counterclockwise. C. It is static but unstable D. It is static and stable. b) Charge is distributed throughout a very long cylindrical wire with radius R. The volume charge density increases with distance from the central axis of the wire according to p=kr? where k is a constant and r is the radial distance from the central axis. What is the magnitude of the field at the surface of the wire? A. 0 B. kR3 4€o C. KR4 4601 D. kR2 460

c) A positive static charge +10q is placed off-center inside a conducting shell of a certain thickness. The conductor has a net charge of +8q. What is the charge on the conductor's outer surface? +109 A. -29 B.-189 C. +189 D. Cannot be determined because the charge is off-center d) Consider a point charge +Q, that is held fixed at (1,0). Another charge -20 is brought from infinity to (0, L). We have the option to slowly drag the negative charge along four polygonal paths (I, II, III, and IV), whose respective vertices are listed below: 1. (0,1)>(L,L)+(21,0) II. (0,1)+(-1,0)=(-L,-L) III. (0,1)=(-4,1)=(-4,2L) IV. (0,1)>(L,2L) →(24,2L) Which path corresponds to the least work done against the electric field? A. I B. II C. III D. IV