Three point charges of +2q, -q and -q are placed at the corners A, B and C of an equilateral triangle ABC of side ‘x’. What is the magnitude of the electric dipole moment of this system?
1 Answer
We know that two point charges having charge
p = q d
It is directed from the negative to the positive charge.
In the given question charge
As such pair of charges
Its dipole moment
vecp_(AB)=qx , directed alongBA
Similarly, second pair of charges
Its dipole moment
vecp_(AC)=qx , directed alongCA
As
Magnitude of the resultant dipole moment is
|vecp_"resultant"|=sqrt(p_(AB)^2+p_(AC)^2+2\ p_(AB)\ p_(AC)\ cos60^@)
|vecp_"resultant"|=sqrt((qx)^2+(qx)^2+2qx xx qx xx1/2)=sqrt3qx