Derivation of self inductance
The mutual inductance by circuit i on circuit j is given by the double integral Neumann formula
Derivation
where
- is the magnetic flux through the ith surface by the electrical circuit outlined by Cj
- Ci is the enclosing curve of Si.
- B is the magnetic field vector.
- A is the vector potential. [1]
Stokes' theorem has been used.
so that the mutual inductance is a purely geometrical quantity independent of the current in the circuits.
References
- ↑ Jackson, J. D. (1975). Classical Electrodynamics. Wiley. pp. 176, 263.
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