A magnetic core with an air gap is shown below, with a relative permeability of $5000,$ and a free$-$space permeability is $4{10}^{-7}\frac{H}{m}.$ Consider $5\%$ fringing.

Find the below reluctances in Kilo AmpereTurns per Weber

Answers:

The reluctance of the left leg is: $R_{\text{l}\text{e}\text{f}\text{t}}=$ K A$.$t$./$Wb$.$

The reluctance of the right leg is: $R_{\text{r}\text{i}\text{g}\text{h}\text{t}}=$ K A$.$t$./$Wb$.$

The reluctance of the top side is: $R_{\text{t}\text{o}\text{p}}=$ K A$.$t$./$Wb$.$

The reluctance of the bottom side is: $R_{\text{b}\text{o}\text{t}\text{t}\text{o}\text{m}}=$ K A$.$t$./$Wb$.$

The reluctance of the air gap is: $R_{\text{g}\text{a}\text{p}}=$ K A$.$t$./$Wb$.$

The total reluctance is: $R_{\text{t}\text{o}\text{t}\text{a}\text{l}}=$ K A$.$t$./$Wb$.$