The magnetic circuit below has two windings and two air gaps. The core can be assumed to be of infinite permeability. The core dimensions are indicated in the figure. Derive expressions for 1) magnetic flux density in each air gap, 2) flux linkage of winding 1, 3) flux linkage of winding 2, and 4) self- and mutual inductances, 5) voltage induced in each winding by time varying currents i₁(t) and i₂(t). A a O Core, μ→∞o N₁ turns Area A₁ + 81 →82- Area A₂ N₁ turns

The magnetic circuit below has two windings and two air gaps. The core can be assumed to be of infinite permeability. The core dimensions are indicated in the figure. Derive expressions for 1) magnetic flux density in each air gap, 2) flux linkage of winding 1, 3) flux linkage of winding 2, and 4) self- and mutual inductances, 5) voltage induced in each winding by time varying currents i₁(t) and i₂(t). A a O Core, μ→∞o N₁ turns Area A₁ + 81 →82- Area A₂ N₁ turns