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[tex] \sum_i \vec r_i' \times \vec F_i = 0 .[/tex]

Where [tex] \vec r_i' [/tex] is the vector from the center of mass to the i'th charge element dq of the sphere and [tex]\vec F_i[/tex] is the force on proton. I'm assuming that the electron is a uniformly charged sphere and not a point particle. Does anyone know how to show this or know a link to somewhere the calculation has been done? I suspect an equivalent calculation has been done in relation to planetary motion.. torque on a planet due to another.