Question

Three charges are arranged on the vertices of an equilateral triangle, as shown in the figure. Find the dipole moment of the combination.
Figure

Answer 1

Given:

The three charges are -q,-q, 2q

The angle in equilateral triangle is 60

The distance between them is d.

To find:

The resultant dipole moment of the combination.

Solution:

The dipole moment formula is

τ=p×d=P

So the resultant dipole moment is

P=√(qd)²+(qd)²+2q²d²cos60

P=√q²d²+q²d²+q²d²

P=qd√3

So the resultant dipole moment of the combination is qd√3

Answer 2

Answer:

Explanation:

Given:

The three charges are -q,-q, 2q

The angle in equilateral triangle is 60

The distance between them is d.

To find:

The resultant dipole moment of the combination.

Solution:

The dipole moment formula is

τ=p×d=P

So the resultant dipole moment is

P=√(qd)²+(qd)²+2q²d²cos60

P=√q²d²+q²d²+q²d²

P=qd√3

So the resultant dipole moment of the combination is qd√3