Electric Field of an n sided polygon

  1. lao

    lao 1

    We have an n sided polygon, each side is length 2L and R is the distance from the center of the polygon to the mid-point of any side. We know, L=Rtan(pi/n).

    I need: "the E-field on the axis of the polygon at a point distance h above it"

    When n goes to infinity, we should get the same E-field as a uniform ring charge:
    E= kQh/(h^2+R^2)^1.5

    any help would be awesome, thx :)
     
  2. jcsd
  3. Tide

    Tide 3,139
    Science Advisor
    Homework Helper

    And, what have you done so far to solve the problem?
     
  4. Simple: do we have any symmetry here? Find the field to a single side (a finite line segment).

    Hope this helps.
     
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