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mathnerd15

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## Homework Statement

13 equal charges q are placed at the corners of a polygon and as on a clockface, what is the net force on a test charge at the center Q? I assume the charge at the center is positive and the charge on the polygon so they repel

## Homework Equations

(1/4piEo)(qQ/r^2)

## The Attempt at a Solution

it seems there is a net force in one direction where there is a lack of symmetry in the Fx, Fy. for the situation of q=3 I calculated that there is a net charge upwared of

(1/4piEo)(qQ/r^2)(1-2sin(pi/6))=0

with the equilateral triangle pointing upward, sin 30 degrees=1/2

but as n sides of the polygon approaches infinity even in an odd polygon this would resemble a smooth circle and the charges would cancel out with Fnet=0? take out one charge in the 13 sided polygon and the charge motion and electrical force is in the direction of the missing charge?

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