Internal inductance: Difference between revisions

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Alternatively, sometimes the internal inductance per unit length is used, defined as<ref name="Freidberg"/>
Alternatively, sometimes the internal inductance per unit length is used, defined as<ref name="Freidberg"/>
:<math>l_i' = \frac{L_i}{2\pi R_0}\frac{4\pi}{\mu_0} = \frac{2L_i}{\mu_0R_0}</math>
:<math>l_i' = \frac{L_i}{2\pi R_0}\frac{4\pi}{\mu_0} = \frac{2L_i}{\mu_0R_0}</math>
where ''R<sub>0</sub>'' is the [[Toroidal coordinates|major radius]], and similar for the external inductance.
where ''R<sub>0</sub>'' is the [[Toroidal coordinates|major radius]] (note <math>l_i = 2 \pi l_i'</math>), and similar for the external inductance.


The value of the normalized internal inductance depends on the current density profile in the toroidal plasma.
The value of the normalized internal inductance depends on the current density profile in the toroidal plasma.