P6: A spherical shell of radius R has a uniform surface charge density ?=-ksin(?/2 - ?). k here is just a positive constant. a) [8pts] Calculate the dipole moment of this object, and also the total charge on this object. b) [4pts] Use the method of the multipole expansion to find an approximate form for the potential far from the sphere. Stop with the first leading nonzero term.
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Adi S.
A sphere of radius R carries charge distributed throughout it and with density ̐ = 3acos̘ / ̒R^4 (in spherical coordinates) where a is constant. The monopole moment of this distribution is zero. Determine the dipole moment of this distribution and use it to determine an approximate potential at any point beyond the sphere.
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