Electricity and Magnetism · Problem 10.31

MAGNETIC FIELDS IN MATTER — Edward Purcell & David Morin

Physics — E&M · mutually-induced-dipoles

Problem

Two polarizable atoms AA and BB are a fixed distance apart. The polarizability of each atom is α\alpha. Consider the following intriguing possibility. Atom AA is polarized by an electric field, the source of which is the electric dipole moment pB\mathbf{p}_B of atom BB. This dipole moment is induced in atom BB by an electric field, the source of which is the dipole moment pA\mathbf{p}_A of atom AA. Can this happen? If so, under what conditions? If not, why not?

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