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Hollow Sphere with Uniform Surface charge

  1. Feb 6, 2016 #1
    1. The problem statement, all variables and given/known data
    Doc Feb 06, 2016, 12:42 copy.jpg



    2. Relevant equations
    Poynting's Theorem S = 1/μ0 (E x B)
    Momentum = p = μ0ε0 ∫ S dτ

    3. The attempt at a solution
    My strategy was to treat the hollow sphere as a point charge (by Gauss' Law), so E = 1/4πε0 Q/a2. I believe the magnetic field would be B = 2/3μ0M (where M is the magnetic dipole moment per unit volume). For part A, would this be the correct total electromagnetic momentum if I used the formula stated above and the relevant E and B fields. Also, do I have the E and B field formula's correct?
     
  2. jcsd
  3. Feb 7, 2016 #2
    The attachment is my current attempt at part A
     

    Attached Files:

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