1. I l Amperes Law I is the total current linking the magnetic flux. It may be N wires carrying I/N amperes. l

2. lglg lmlm HgHg HmHm N i Due to fringing in the gap. “Reluctance” A

3. lglg lmlm HgHg HmHm N i Flux Linkage: Total flux “linking” the conductor Definition of Inductance:

4. Total Flux : The Total Flux is the Total Flux, whether you’re talking about the flux in the magnetic material, or the flux in the gap. Magnetic field energy stored in an inductor is: Volume Energy Density

5. Example:  = 4 x 10 -4 Webers of flux exists in a gapped magnetic core having cross sectional area of 1 cm 2 and length 20 cm. The gap is 3 mm in length. Consider the cross sectional area of the gap to be 1.5 cm 2 due to fringing. The core has  = 10 3  0. Determine the energy stored in the core and in the gap. Determine the reluctance of the gapped core. If the winding consists of 1000 turns, determine the current. What is the inductance?