Electric Field from Removed Charge in Regular Polygon · CAP 2024 #11

Physics · electromagnetism

Problem

A regular n-gon is a polygon with n equal edges as well as equal angles. Positive charges each of magnitude q sit on the corners of a regular 2024-gon. The distance from each charge to the center of the 2024-gon is a. If one of the charges is removed, what is the magnitude and the direction of electric field at the center? A. q4πϵ0a2\frac{q}{4\pi\epsilon_0a^2}, directed away from the removed charge. B. q4πϵ0a2\frac{q}{4\pi\epsilon_0a^2}, directed towards the removed charge. C. 12024q4πϵ0a2\frac{1}{2024}\frac{q}{4\pi\epsilon_0a^2}, directed away from the removed charge. D. 12024q4πϵ0a2\frac{1}{2024}\frac{q}{4\pi\epsilon_0a^2}, directed towards the removed charge. E. 12023q4πϵ0a2\frac{1}{2023}\frac{q}{4\pi\epsilon_0a^2}, directed away from the removed charge. F. 12023q4πϵ0a2\frac{1}{2023}\frac{q}{4\pi\epsilon_0a^2}, directed towards the removed charge.

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