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Internal inductance: Difference between revisions
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In a [[tokamak]], the field produced by the plasma current is the ''poloidal'' magnetic field ''B<sub>θ<sub>'', so only this field component enters the definition. | In a [[tokamak]], the field produced by the plasma current is the ''poloidal'' magnetic field ''B<sub>θ<sub>'', so only this field component enters the definition. | ||
In this context, it is common to use the ''normalized'' internal inductance<ref>K. Miyamoto, ''Plasma Physics and Controlled Nuclear Fusion'', Springer-Verlag (2005) ISBN 3540242171</ref> | In this context, it is common to use the ''normalized'' internal inductance<ref>K. Miyamoto, ''Plasma Physics and Controlled Nuclear Fusion'', Springer-Verlag (2005) ISBN 3540242171</ref> | ||
:<math>l_i = \frac{\int_P{B_\theta^2 d\ | :<math>l_i = \frac{2 \pi \int_P{B_\theta^2(\rho) \rho d\rho}}{\pi a^2 B_\theta^2(a)} </math> | ||
(for circular cross section plasmas with [[Toroidal coordinates|minor radius]] ''a''). | (for circular cross section plasmas with [[Toroidal coordinates|minor radius]] ''a''). | ||