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**1. Homework Statement**

13 equal charges are placed in the corners of a regular 13-sided polygon. What is the force on a test chrage at the center?

**2. Homework Equations**

principle of superposition

symmetry

**3. The Attempt at a Solution**

I am not sure if the net force is 0 or not. Had the polygon been 12-sided the symmetry would be obvious, but I'm not sure in this case. Can anyone explain if the net force is 0 or not?