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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]] ( | where ''R<sub>0</sub>'' is the [[Toroidal coordinates|major radius]], and similar for the external inductance. | ||
Using Ampères Law (<math>2 \pi a B_\theta(a) = \mu_0 I</math>), one finds <math>l_i = 2 \pi l_i'</math>. | |||
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 (as it produces the <math>B_\theta(\rho)</math> profile). | ||
== References == | == References == | ||
<references /> | <references /> | ||