204
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Flux coordinates: Difference between revisions
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→Contravariant Form of the current density
| Line 223: | Line 223: | ||
+ \tilde{\eta}(\psi,\theta,\phi)~. | + \tilde{\eta}(\psi,\theta,\phi)~. | ||
</math> | </math> | ||
Note that the poloidal current is now defined through a ribbon and not a disc. The two currents are related as <math>\nabla\mathbf{j} = 0</math> implies | Note that the poloidal current is now defined through a ribbon and not a disc. The two currents are related as <math>\nabla\cdot\mathbf{j} = 0</math> implies | ||
:<math> | :<math> | ||
I_{pol} + I_{pol}^d = \oint_{\psi=0}\mathbf{B}\cdot d\mathbf{l}~, | I_{pol} + I_{pol}^d = \oint_{\psi=0}\mathbf{B}\cdot d\mathbf{l}~, | ||