Question

Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as shown in the figure:

• A. $\left(ql \right)\frac{\hat{i} + \hat{j}}{\sqrt{2}}$
• B. $\sqrt{3}ql\frac{\hat{j} - \hat{I}}{\sqrt{2}}$
• C. $-\sqrt{3}ql\hat{j}$
• D. $2ql\hat{j}$

Answer 1

Answer: (C)

$-\sqrt{3}ql\hat{j}$

Answer 2

$\left|P_{1}\right| =q\left(d\right)$
$\left|P_{2}\right| =qd$
$\left|\text{Resultant}\right| = 2P \cos30^{\circ}$
$2qd \left(\frac{\sqrt{3}}{2}\right) =\sqrt{3} qd$