A very long and hollow conducting cylinder with inner radius 5.0cm and outer radius 12.0 cm has a uniform charge distribution along its length of ? = 9.0 ?C/m.
What is the value of the electric field at 7.0 cm from the axis of the cylinder? (inside the metal of the conductor)
Determine what fraction of the charge distribution is on the inner wall of the hollow cylinder. Explain your answer. (You should draw a sketch with a Gaussian surface to support your answer.)
Use Gauss' Law to determine the magnitude of the electric field at a position 15.0 cm away from the axis of the cylinder. Show all work, including a sketch of the Gaussian surface you use to apply Gauss' Law. (For full credit, don't just use a formula for the calculation; show how Gauss' Law allows you to generate that formula.)