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Resistive timescale: Difference between revisions
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Ohm's Law, | Ohm's Law, | ||
:<math>\vec E = \eta \vec j,</math> | :<math>\vec E = \eta \vec j,</math> | ||
where ''η'' is the resistivity (assumed homogeneous), and Ampère's Law, | where ''η'' is the [[:Wikipedia:Spitzer_resistivity|resistivity]] (assumed homogeneous), and Ampère's Law, | ||
:<math> \vec \nabla \times \vec B = \mu_0 \vec j,</math> | :<math> \vec \nabla \times \vec B = \mu_0 \vec j,</math> | ||
one immediately derives a diffusion type equation for the magnetic field: | one immediately derives a diffusion type equation for the magnetic field: | ||