Three points charges are placed at the corners of an equilateral triangle of side \( \mathrm{L} ...

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Three points charges are placed at the corners of an equilateral triangle of side \( \mathrm{L} \) as shown in the figure
(a) The potential at the centroid of the triangle is zero
(b) The electric field at the centroid of the triangle is zero
(c) The dipole moment of the system is \( \sqrt{2} q L \)
(d) The dipole moment of the system is \( \sqrt{3} q L \)
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