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 V0.
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.