A very long, solid cylinder with radius R has a positive charge uniformly distributed throughout it, with charge per unit volume .
1. Derive the expression for the electric field inside the volume at a distance r from the axis of the cylinder in terms of the charge density p. Express your answer in terms of the given quantities and appropriate constants.
2. What is the electric field at a point outside the volume in terms of the charge per unit length ( ) in the cylinder?
Express your answer in terms of the given quantities and appropriate constants.
