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Internal inductance: Difference between revisions
→Normalized internal inductance
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:<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]], and similar for the external inductance. | ||
Using | Using Ampère's 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 (as it produces the <math>B_\theta(\rho)</math> profile). | 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). | ||