Using Gauss’s Law for the Electric Field, I found the electric field for a conducting cylinder with a charge density

 .                                                               (Eq.1)

The end result is the equation

.                                                          (Eq.2)

With this, I was able to model the following.

                                           (Figure 1)

Here is a photo of what is occurring on the inside of the cylinder. As you can see in Figure 2, the Gaussian surface would be placed in the center of the cylinder where the vector fields start and are directed radially outward.  As implied by Equation 2, the electric field is directly proportional to the radius of the cylinder.

                                            (Figure 2)

I am currently working on modeling the magnetic field.