Three point charges of +2q, +2q and -4q are placed at the corners A, B and C of an equilateral triangle ABC of side 'x'. The magnitude of the electric dipole moment of this system is.

Options

A. `2qx`
B. `2sqrt(3)qx`
C. `3sqrt(2)qx`
D. 3 qx

Answer

B

Explanation

According to question,
The magnitude of electric dipole moment

`P_("net")=sqrt(p^(2)+p^(2)+2p p cos 60^(@))`
`= sqrt(2p^(2)+2p^(2)xx(1)/(2))`
`= sqrt(3).p`
We know that, p = 2q.x
`= sqrt(3).2qx = 2sqrt(3)qx`