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Consider three charges q(1), q(2), q(3) ...

Consider three charges `q_(1), q_(2), q_(3)` 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 Fig. ?

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Zero, charge Q is symmetrically placed w.r.t. all other charges.
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