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## Homework Statement

A thin charged rod of length L lies along the x-axis as shown in the diagram below.

The charge on the rod is distributed with a density of λ= c x (C /m) where c is a constant.

What is the potential at a point (0,y)? (Your answer should be in terms k, c, L, and y).

**See attached pictures for attempt at solution and diagram.**

What I'm having trouble with is determining where to sub in λ = cx. Also, I'm not sure how to derive the

*potential*at the point, but I think what I have derived there without solving the integral is the electric field at that point. Also, I don't know how to evaluate the integral (I've never taken a uni-level calc course.. but i know how to do basic u substitution and trig subs if that's what is needed).