Question

Electric charges q, q, -2q are placed at the corners of an equilateral triangle ABC of side 1. The magnitude of electric dipole moment of the system is

• A. $q^1$
• B. ${2q}^1$
• C. ${\sqrt{3}q}^1$
• D. ${4q}^1$

Answer 1

The correct option is C ${\sqrt{3}q}^1$

Electric field $q,q,-2q$ are placed at the corners of an equilibrium.

Total charge $=\sqrt{2+1}=\sqrt{3}q$

The magnitude of electric dipole momentum of this system $=\sqrt{3}q\times l=\sqrt{3}ql$.