An insulating cylinder that is infinitely long has radius R and a charge per unit length of A. (Hint: because it is an insulator you should assume that the charge is spread uniformly across its entire volume of the cylinder). a) Use Gauss' Law to calculate the electric field at a point outside of the cylinder as a function of r, the radial distance from the center of the cylinder. (r> R) b) Use Gauss' Law to calculate the electric field at a point inside the cylinder as a function of r, the radial distance from the center of the cylinder. (r < R) c) Make a plot of the electric field magnitude E(r) as a function of r for any r> 0.

An insulating cylinder that is infinitely long has radius R and a charge per unit length of A. (Hint: because it is an insulator you should assume that the charge is spread uniformly across its entire volume of the cylinder). a) Use Gauss' Law to calculate the electric field at a point outside of the cylinder as a function of r, the radial distance from the center of the cylinder. (r> R) b) Use Gauss' Law to calculate the electric field at a point inside the cylinder as a function of r, the radial distance from the center of the cylinder. (r < R) c) Make a plot of the electric field magnitude E(r) as a function of r for any r> 0.