A long cylindrical conducting shell has inner radius R1=10 cm and an outer radius R2=12 cm. the conductor has no net charge. At the center of the cylinder, there is a negative line of charge with linear charge density λ=5μc/m.
A) Find the magnitude and direction of the electric field outside the shell at a distance r from the center, (r>R2)
B) Find the magnitude and direction electric field in the region between the inner and the outer radius of the conductor at distance r from the center (R2> r >R1)
C) Find the surface charge density on the outer surface of the conductor.