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Internal inductance: Difference between revisions
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(Created page with 'The self-inductance of a current loop is defined as the ratio of the magnetic flux ''Φ'' traversing the loop and its current ''I'': :<math>L = \Phi/I\,</math> The flux is fou…') |
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On the other hand, the energy contained in the magnetic field produced by the loop is | On the other hand, the energy contained in the magnetic field produced by the loop is | ||
:<math>W = \int_V{\frac{B^2}{2\mu_0} d\vec r}</math> | :<math>W = \int_V{\frac{B^2}{2\mu_0} d\vec r}</math> | ||
It can be shown that<ref>P.M. Bellan, ''Fundamentals of Plasma Physics'', Cambridge University Press (2006) ISBN 0521821169</ref> | |||
:<math>W = \frac12 L I^2</math> | :<math>W = \frac12 L I^2</math> | ||
The internal inductance is defined as the part of the inductance obtained by integrating over the plasma volume ''P'' <ref>J.P. Freidberg, Plasma physics and fusion energy, Cambridge University Press (2007) ISBN 0521851076</ref>: | The internal inductance is defined as the part of the inductance obtained by integrating over the plasma volume ''P'' <ref>J.P. Freidberg, Plasma physics and fusion energy, Cambridge University Press (2007) ISBN 0521851076</ref>: | ||