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

Answer

A

Explanation

Net dipole of the system, `vecp=vecp_(1)+vecp_(2)`
`p=sqrt(p_(1)^(2)+p_(2)^(2)+2p_(1)p_(2)cos theta)`
`( :' p_(1)=p_(2)=2qx)`
`=sqrt(12q^(2)x^(2))=2sqrt3 qx`