Detailed derivation of the inductance effect

  • #1
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Hi All,

Is there any reference that shows in detail how to deduce the inductance effect of a coiled wire, starting from the magnetic influence of each current element ##i\, ds## on the others?

Best wishes,

DaTario
 

Answers and Replies

  • #2
Charles Link
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For a long solenoidal shape, the magnetic field ## B ## is readily calculated inside the coil using Ampere's law, as a function of the current ## I ##. The magnetic flux ## \Phi ## can then be computed, and the inductance ## L=\frac{\Phi}{I} ##. ## \\ ## Notice also that the EMF ## \mathcal{E}=-\frac{d \Phi}{dt}=-L \, \frac{dI}{dt} ##. ## \\ ## For the general case, it is not a simple calculation.
 
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  • #4
898
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Thank you Charles and tech99.

Does any of you know the outline of this derivation ? It seems that the outline should have something of a self consistent method (a la Hartree-Fock method in solving the three electron atom, for instance).
 

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