A charge of uniform linear density 2.80 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.20 cm, outer radius = 10.0 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.2 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?