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Composite Magnetic Circuits

Consider a circular ring made from different materials of lengths l1, l2 and l cross-sectional areas a1, a2 and a3 and relative permeability μr1, μr2 and  μr3 with a cut of length  Ig known as air gap. The total is the arithmetic sum of individual reluctances as they are joined in series


Total reluctance,S

=  I1       +  I2      +   I3      +   Ig
  μoμr1a1  μoμr2a2   μoμr3a3   μoag

Total m.m.f. = θ x S

= θ [   I1       +  I2      +   I3      +   Ig ]
    μoμr1a1  μoμr2a2   μoμr3a3   μoag

or  Total ampere-turns required

=  H1l1 + H2l2 + H3l3  + Hglg

= Sum of ampere-turns required for individual parts of the magnetic circuit.

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