Using multipole expansion of potential (V), derive and show that potential of Monopole, Dipole, Quadrupole and Octopole has following dependence on the powers of r . Monopole: V~1/r Dipole: V~1/r^2 Quadrupole V~1/r^3 Octopole V~1/r^4

Using multipole expansion of potential (V), derive and show that potential of Monopole, Dipole, Quadrupole and Octopole has following dependence on the powers of r . Monopole: V~1/r Dipole: V~1/r^2 Quadrupole V~1/r^3 Octopole V~1/r^4

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Question

Using multipole expansion of potential (V), derive and show that potential of Monopole, Dipole, Quadrupole and Octopole has following dependence on the powers of r .

Monopole: V~1/r

Dipole: V~1/r^2

Quadrupole V~1/r^3

Octopole V~1/r^4

Expert Solution