Consider a line charge density λ(z) that is localized on the z axis from z=-a to z=+a. By considering the monopole, dipole, and quadrapole moments of the charge distribution, find an approximation for the potential o(r) to leading order only (i.e. the first non-vanishing term) in the multipole expansion, for each of the following three cases: a) λ(z) —à¸cos(лz/2a) b) (z) sin(nz/a) c)(z) cos(nz/a)
Consider a line charge density λ(z) that is localized on the z axis from z=-a to z=+a. By considering the monopole, dipole, and quadrapole moments of the charge distribution, find an approximation for the potential o(r) to leading order only (i.e. the first non-vanishing term) in the multipole expansion, for each of the following three cases: a) λ(z) —à¸cos(лz/2a) b) (z) sin(nz/a) c)(z) cos(nz/a)
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Transcribed Image Text:Consider a line charge density λ(z) that is localized on the z axis from z=-a to z=+a. By considering the monopole, dipole, and quadrapole moments of the charge distribution, find an
approximation for the potential o(r) to leading order only (i.e. the first non-vanishing term) in the multipole expansion, for each of the following three cases:
a) λ(z) —à¸cos(лz/2a)
b) (z) sin(nz/a)
c)(z) cos(nz/a)
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