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Consider thre...

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?

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Solution

$F = \frac{K q_{1} q}{x^{2}} ⟶ s a m e f o r a l l t h r e e, ∵ d i s t a n c e b e t w e e n c h a r g e s i s s a m e .$

As we can see, equal forces radially acting outward direction, canceling each components, therefore net force at center is zero

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