An electrically neutral molecule is collinear with and locat

An electrically neutral molecule is collinear with (and located between) two charged particles, one carrying a charge of +3.56 C and the other carrying a charge of -1.05 C. The center of the molecule is 2.57 m from each particle.If the vector sum of the electric forces exerted on the molecule is 40.0 nN , what is the polarizability of the molecule?

Solution

Ekectric dipole moment induced by the charges on the neutral molecule:

        p = (+3.56 C) (2.57 m) + (-1.05 C) (-2.57 m)

    = 11.8477 * 10^-12 Cm

polarizability of the molecule:

       = p/E

         = (11.8477 * 10^-12 Cm) / (40 * 10^-9 N)

         = 2.962 * 10^-4 C·m²·V¹