# Electric Potential

A nonuniform linear charge distribution given by λ = bx, where b is a constant, is located along an x axis from x = 0 to x = L. What is the electric potential at a point on the y axis? Set potential equal to zero at infinity. Express your answer in terms of the variables given and ε0 (epsilon not).

I have calculated the answer to be

b * (sqrt(L^2 + y^2) - y) / (4 * pi * ε0).

The site I enter this answer onto tells me I am wrong. I have checked this with my dad, who is very good at physics, and he agrees with me on this answer. I would like to know if this answer is correct, and if not, why. Thanks.

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The potential should be symmetric about x-axis, (interchange y->-y), so you did something wrong. On closer look that is the only error. Change $y$ to $sqrt(y^2)$