An electric field can induce an electric dipole in a neutral atom or molecule by

Question

An electric field can induce an electric dipole in a neutral atom or molecule by pushing the positive and negative charge in opposite directions. The dipole moment of an induced dipole is directly proportional to the electric field. That is, p? =?E? , where ? is called the polarizability of the molecule. A bigger field stretches the molecule farther and causes a larger dipole moment

An ion with charge q is distance r from a molecule with polarizability ?. Find an expression for the magnitude force F? ionondipole.

Express your answer in terms of the variables q, r, ? and appropriate constants.

Explanation / Answer

given p=aE

so,
E=p/a

also E=kq/r^2

|Fion on dipole|=|Fion due to dipole|= p* E/r=aE^2/r=a*9e9*q/(r^2*r)
F=9e9*aq/r^3

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