(a) Find the electric field on the z axis produced by an annular ring of uniform surface charge density ρs in free space. The ring occupies the region z = 0, a ≤ ρ ≤ b, 0 ≤ ϕ<2π in cylindrical coordinates. (b) From your part (a) result, obtain the field of an infinite uniform sheet charge by taking appropriate limits.
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