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Three point charges of \( 2 q,-q \) and \( -q \) are placed at the corner of an equilateral triangle of side a. Then: This question has multiple correct options

1. the potential at the centroid of the triangle is zero
2. the electric field at the centroid of triangle is zero
3. the dipole moment of the system is \( \sqrt{2} q a \hat{j} \)
4. the dipole moment of the system is \( \sqrt{3} q a \hat{j} \)

Correct answer: the electric field at the centroid of triangle is zero

Solution

At the centroid of an equilateral triangle, the three vertices are equally distant, so each charge produces a field with the same distance factor. The vector sum of the three contributions cancels for the given charge arrangement, making the net electric field zero there.

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