Question

A long cylindrical conducting shell has inner radius R1=10 cmand an outer radius R2=12 cm. the conductor has no net charge. Atthe center of the cylinder, there is a negative line of charge withlinear charge density λ=5μc/m.

A) Find the magnitude and direction ofthe electric field outside the shell at a distance r from thecenter, (r>R2)

B) Find the magnitude anddirection electric field in the region between the inner and theouter radius of the conductor at distance r from the center (R2>r >R1)

C) Find the surface charge densityon the outer surface of the conductor.