Problem 3: the infinite cylinderAn 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 volumeof the cylinder).a) Use Gauss' Law to calculate the electric field at a point outside of the cylinder as a function of r, theradial 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, theradial 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.

(a) Let λ denotes the line charge density, R denotes the radius, r denotes the radius of the…

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