In: Physics
A very long conducting tube (hollow cylinder) has inner radius a and outer radius b. It carries charge per unit length +?, where ? is a positive constant with units of C/m. A line of charge lies along the axis of the tube. The line of charge has charge per unit length +?.
Part A
Calculate the electric field in terms of ? and the distance r from the axis of the tube for r<a.
Part B
Calculate the electric field in terms of ? and the distance r from the axis of the tube for a<r<b.
Express your answer in terms of the variables ?, r, and constant ?0.
Part C
Calculate the electric field in terms of ? and the distance r from the axis of the tube for r>b.
Part D
What is the charge per unit length on the inner surface of the tube?
Part E
What is the charge per unit length on the outer surface of the tube?