Gauss' Law and the Cylinder - Part II

A very long, solid cylinder of radius R = 2 m is given a charge density (charge/unit volume) of r = 3.5e-6 C / m^3. (Hint: Use r where r is the radial distance from the center of the cylinder).

Answer the following questions:

Part 1.

• What does the electric field look like outside the sphere?
• What type of Gaussian surface would we use to find the E-field?
• What is the charge enclosed as a function of distance from the center of the cylinder?

Part 2

• Find the electric field at
  • R = 1 m
  • R = 3 m
  • R = 5 m
  • R = 9 m

Sketch a graph of E-field vs. r, the distance from the axis of the cylinder.