(adsbygoogle = window.adsbygoogle || []).push({}); 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] ?

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# Homework Help: Current density and Ohm's law

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