Electrostatics MOC

Multipole expansion of the electrostatic potential

The electrostatic potential due to sources localized to has the multipole expansion

where is the total charge (i.e. monopole moment) of the distribution, is the Electric dipole moment, and is the angle between and so that . This may be combined with the principle of superposition.

Derivation

By applying the Multipole expansion of the reciprocal to the electrostatic potential one gets the expression above.

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