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Internal inductance: Difference between revisions
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:<math>\Phi = \int_S{\vec B \cdot d\vec S}</math> | :<math>\Phi = \int_S{\vec B \cdot d\vec S}</math> | ||
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 = \ | :<math>W = \int{\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> | 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> | ||