- #1

magnetpedro

- 39

- 0

_{r}, tilted with an angle a, as shown in the picture.

I would like to prove analytically that the sum of the inductances measured along the x-axis (angle is a) and y-axis (angle is π/2 - a) is independent of the angle a. (L

_{sum}= L

_{x}+ L

_{y}independent of a).

Each case, L

_{x}and L

_{y}is also the sum of the inductance of the projections of the fiber in the x and y axis.

My approach consists in using Hopkinson's Law and first determining the Reluctance for each case, and then calculating the Inductance using L= N

^{2}/Reluctance, where N is a constant number of turns of a supposed magnetomotive force.

Do you think it's possible?

Thank you very much.