Six dipoles of dipole moment P k ^ are arranged at corners of a hexagon of side a (value of a is much more greater than size of dipole). Coordinates of point A and B are (0, 0, a) and (0, 0, -a):

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By symmetry, the vector electric fields at O add along $- \hat{k}$ .

$E_{O} = \frac{6 k P}{2 a ^{3}} (- \hat{k})$

Dipole potentials at O cancel, so B is correct.

Evaluating $V = k p \cdot \overset{r}{^} / r^{2}$ at A gives option C; D has the wrong sign.

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Options:(select one or more)

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