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Physics, 27.07.2019 01:30 romeojose2005

Alocalized region of space has a charge density ρ(r). use the general solution of poisson's equation: ρ(r) 4tteo and the expansion of 1/ir -r'| in terms of legendre polynomials p (cos α), tr to calculate the first two terms in multipole expansion for the scalar potential in the region where the charge density is zero. the angle α is the angle between r and r'.you may assume the charge density is azimuthally symmetric about the z- axis. calculate the electric field produced by the first two terms in the multipole expansion. show that the monopole terms for v and e are independent of your choice of origin. follow the argument in sections 3.4.2 - 3.4.4. show that the dipole terms for v and e depend on your choice of origin, except in the case where the total charge in the localized region vanishes

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