V of 2 parallel lines makes cylinders

  • Thread starter bowlbase
  • Start date
  • #1
146
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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 V0.

Homework Equations


Gauss, -∫Edl
E=-∇V
?x2+y2=r2?

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.
 

Answers and Replies

  • #2
56
2
I'd post my solution for A but it's exactly the same as the solution manual so it's easy enough to find.
Why not look at your solutions manual. . .
 
  • #3
146
2
The part b is not part of the original question. Thus, not in the manual.
 
  • #4
146
2
hmm, never mind I guess it was in the manual. Sorry thought that he just added it. thanks anyway.
 

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