What is the Electric Field Inside and Outside a Charged Conducting Hollow Tube?

[jimbo71]

Homework Statement

A very long conducting tube (hollow cylinder) has inner radius a and outer radius b. It carries charge per unit length + \alpha , where \alpha 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 + \alpha .

Calculate the electric field in terms of \alpha and the distance r from the axis of the tube for r<a.
Express your answer in terms of the variables \alpha, r, and constant \epsilon_0.

Calculate the electric field in terms of \alpha and the distance r from the axis of the tube for a<r<b.
Express your answer in terms of the variables \alpha, r, and constant \epsilon_0.

Calculate the electric field in terms of \alpha and the distance r from the axis of the tube for r>b.
Express your answer in terms of the variables \alpha, r, and constant \epsilon_0.

What is the charge per unit length on the inner surface of the tube?

What is the charge per unit length on the outer surface of the tube?

Homework Equations

E=(1/4*pi-epsilon_0)(q/R^2)

The Attempt at a Solution

No idea where to start or how to set up problem

 

[LowlyPion]

Here's a good jumping off point:
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html#c4