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## Homework Statement

Expanded from Griffith's (3rd ed) #2.47

Infinitely long wires parallel to x-axis carrying ±λ charge densities intersect the y-axis at ±a.

A) Calculate V(x,y,z) if V(0,0,0)=0

B)Show that the equipotential surfaces are circular

cylinders. Locate the axis and calculate the

radius of the cylinder that is at potential V

_{0}.

## Homework Equations

Gauss, -∫Edl

E=-∇V

?x

^{2}+y

^{2}=r

^{2}?

## The Attempt at a Solution

I've found the solution to part A easily enough but I'm not sure how to approach B. I know that at the origin the potential is zero along the x-axis but I'm confused by how I should show that these are both circular cylinders.

I'd post my solution for A but it's exactly the same as the solution manual so it's easy enough to find.

Any help would be appreciated.