A thin ring made of a 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 e. The ring has a cross-cut of width b = 2.0 ram. When the winding carries a certain current, the permeability of the magnetic equals μ = 1400. Neglecting the dissipation of magnetic flux at the gap edges, find: (a) The ratio of magnetic energies in the gap and in the magnetic; (b) The inductance of the system; do it in two ways: using the flux and using the energy of the field