An infinitely long cylindrical conductor has radius R and uniform surface charge density . (a) In terms

An infinitely long cylindrical conductor has radius R and uniform surface charge density σ.

(a) In terms of σ and R, what is the charge per unit length λ for the cylinder?

(b) In terms of σ, what is the magnitude of the electric field produced by the charged cylinder at a distance r > R from its axis?

(c) Express the result of part (b) in terms of A and show that the electric field outside the cylinder is the same as if all the charge were on the axis. Compare your result to the result for a line of charge in Example 22.6.