Electric Field of an n sided polygon


by lao
Tags: electric, field, polygon, sided
lao
lao is offline
#1
Oct13-05, 08:53 PM
P: 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 :)
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Tide
Tide is offline
#2
Oct14-05, 01:02 AM
Sci Advisor
HW Helper
P: 3,149
And, what have you done so far to solve the problem?
rachmaninoff
#3
Oct14-05, 04:07 AM
P: n/a
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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