Answer to Question #283550 in Electricity and Magnetism for Yasir

Question

An atom of atomic number Z has a nuclear charge Z_e and Z electrons

revolving around it. As a model of this atom, consider the nucleus as a point

charge and treat the electron cloud as a total charge- Z_e distributed uniformly

throughout a sphere of radius r_o. When an external field E is applied, the

nucleus is displaced an amount x. Show that a restoring force x(Ze)²/4Pir³_oE_o

is produced and must be equal to ZeE. Thus show that the induced dipole moment is p =4*Pi*E₀r₀³E and is linearly related to E.

Answer 1

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