Electric Charges and Fields

Question

Consider three charges q1 q2, q3, each equal to q at the vertices of an equilateral triangle of side l. What is the force on a charge Q (with the same sign as q) placed at the centroid of the triangle, as shown in the figure on the next page?

Answer

In the given equilateral triangle ABC of sides of length l, if we draw a perpendicular AD to the side BC,
then we will have,
  
   

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