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A surface charge density sigma(theta)=[sigma_o(cos(theta))] is glued to the surface of a spherical shell of radius...

A surface charge density sigma(theta)=[sigma_o(cos(theta))] is glued to the surface of a spherical shell of radius R. There is a vacuum with no charges both inside and outside of the shell. Calculate the electrostatic potential and the electric field both inside and outside the spherical shell. (the "_" is a subscript in sigma_o).

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