Plasma current density in terms of Ψ and g

2 Plasma current density in terms of Ψ and g

When the displacement current term is neglectable (the case we consider in this note), the conductive current is just another representation of the magnetic ﬁeld. Speciﬁcally, the current density can be written in terms of the magnetic ﬁeld as (Ampère’s law):

( ) μ0J = ∇ ×B = − ∂B-ϕˆR + 1-∂(RB-ϕ)ˆZ + ∂BR- − ∂BZ- ˆϕ. ∂Z R ∂R ∂Z ∂R

(49)

2.1 Poloidal current density
2.2 Toroidal current density

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