Consider a sphere of radius R. The upper hemisphere carries a uniform, positive charge density p. The lower hemisphere carries a uniform negative charge density -p. • Calculate the total charge in the sphere. • Calculate the dipole moment of the sphere. • Calculate the quadrupole tensor of the sphere. • Use the multipole expansion in order to calculate the approximate po- tential far from the sphere.
Consider a sphere of radius R. The upper hemisphere carries a uniform, positive charge density p. The lower hemisphere carries a uniform negative charge density -p. • Calculate the total charge in the sphere. • Calculate the dipole moment of the sphere. • Calculate the quadrupole tensor of the sphere. • Use the multipole expansion in order to calculate the approximate po- tential far from the sphere.
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Transcribed Image Text:Consider a sphere of radius R. The upper hemisphere carries a uniform,
positive charge density p. The lower hemisphere carries a uniform negative
charge density -p.
• Calculate the total charge in the sphere.
• Calculate the dipole moment of the sphere.
• Calculate the quadrupole tensor of the sphere.
• Use the multipole expansion in order to calculate the approximate po-
tential far from the sphere.
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