Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Coloumb torque on a charge sphere?

  1. Nov 10, 2011 #1
    I'm trying to explore a classical model of the hydrogen atom and here I find that the electrons spin will be conserved if we the external torque about it's center of mass is zero. I'm trying to prove to myself that indeed it is, but then I have to show that

    [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.
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted