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Three charges each equal to $q$ are placed at the corners of an equilateral triangle of side $a$. What is the electric field $\vec{E}$ at the centroid of the triangle?

  1. A.$0$
  2. B.$3kq/r^2$
  3. C.$kq/a^2$
  4. D.$\sqrt{3}kq/a^2$
Show correct answer & step-by-step solution

Correct answer: A$0$

Solution

By symmetry, at the centroid because the vectors are equal in magnitude and separated by .

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