c) In terms of R, at what positive value of z is that magnitude maximum?

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter24: Electric Fields
Section: Chapter Questions
Problem 61PQ: A total charge Q is distributed uniformly on a metal ring of radius R. a. What is the magnitude of...
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A thin nonconducting rod with a uniform distribution of positive charge Q is bent into a circle of radius R (see the figure). The central perpendicular axis through the ring is a z axis, with the origin at the center of the ring. What is the magnitude of the electric field due to the rod at (a) z = 0 and (b) z = ∞? (c) In terms of R, at what positive value of z is that magnitude maximum? (d) If R = 2.25 cm and Q = 4.27 μC, what is the maximum magnitude?

 

(a) and (b) are 0. I just need help with C. I know d is 2.9*10^7 as well. 

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