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Current density and Ohm's law

  1. Oct 18, 2011 #1
    1. The problem statement, all variables and given/known data
    What is J in Ohms law in dynamics?
    2. Relevant equations
    Ampères law:
    [tex]\nabla \times H = J_f + \partial_t D = J_f + \partial_t ( \epsilon_0 E + P) [/tex]
    [tex]\nabla \times H = \nabla \times (\mu_0^{-1} B - M) = \nabla \times (\mu_0^{-1} B) - \nabla \times (M) = \nabla \times (\mu_0^{-1} B) - J_m [/tex]
    [tex]\nabla \times (\mu_0^{-1} B) = J_m + J_f + \partial_t ( \epsilon_0 E + P)[/tex]
    Ohms law (statics?):
    [tex]\sigma E = J[/tex]
    Relation between J and p (magnetostatics ?):
    [tex]\int_V{ J dV} = \frac{dp}{dt} = \frac{d\int_{V'}{r' \rho{r'} dV'}}{dt} [/tex]
    3. The attempt at a solution
    Is [itex]J = J_m + J_f + \partial_t (P)[/itex] ?
    Last edited: Oct 18, 2011
  2. jcsd
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