Question: A magnetic circuit with a single air gap is shown in Figure. The core dimensions are: Cross-sectional area Ac = 1.8 ? 10 ?3 m

A magnetic circuit with a single air gap is shown in Figure. The core dimensions are: Cross-sectional area Ac = 1.8 ? 10?3 m2

Mean core length lc = 0.6 m

Gap length g = 2.3 x 10?3 m

N = 83 turns

Assume that the core is of infinite permeability (? ? ?) and neglect the effects of fringing fields at the air gap and leakage flux.

(a) Calculate the reluctance of the core Rc and that of the gap Rg. For a current of i = 1.5 A, calculate

(b) The total flux ?

(c) The flux linkages ? of the coil, and

(d) The coil inductance L.

Core: mean length area A permeability u N turns Air gap

Core: mean length area A permeability u N turns Air gap

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