Q.
Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as shown in the figure:
Solution:
$\left|P_{1}\right| =q\left(d\right) $
$ \left|P_{2}\right| =qd $
$\left|\text{Resultant}\right| = 2P \cos30^{\circ} $
$2qd \left(\frac{\sqrt{3}}{2}\right) =\sqrt{3} qd $
