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Steady Magnetic Field

i.e., the mutual inductance can be defined as the ratio of the total flux linkage of the second circuit to the current flowing in the first circuit.

As we have already stated, the magnetic flux produced in C1 gets linked to itself and if C1 has N1 turns then , where is the flux linkage per turn.

Therefore, self inductance

  =       ...................................(4.52) 

As some of the flux produced by I1 links only to C1 & not C2.

                      ...................................(4.53)

Further in general, in a linear medium, and