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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. |