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A thin ring made of magnetic has a me...

A thin ring made of magnetic has a mean diameter `d = 30 cm` and supports a winding of `N = 800` turns. The cross-sectional area of the ring is equal to `S = 5.0 cm^(2)`. The ring has a cross-cut of width `b = 2.0 mm`. When the winding carries a certain current, the permeability of the magnectic equals `mu = 1400`. Neglectign the disipation of magnetic flux at the gap edges, find:
(a) the ratio of magnetic energies in the gap and in the magnetic,
the inductance of the system, do it two ways: using the flux and using the energy of the field.

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