# Flux and inductance in simple motor

This is the front view of a cylindrical motor of depth (or height) $$\D\$$. There are three windings: $$\\alpha\$$ (stator), $$\\beta\$$ (stator) and $$\\gamma\$$ (rotor):

Considering the core to be of infinite permeability and both 3 windings to have the same N number of turns. I'm trying to calculate the self-inductance and mutual-inductance of each winding. I have the following conclusions but I don't know if they are correct:

1. All three windings see's the same equivalent reluctance $$\\mathscr{R}_{EQ} = \dfrac{R_E-R_I}{\mu_0\,\pi\,D\,(R_E+R_I)}\$$
2. The relationship between $$\\phi_\alpha\$$ and $$\\phi_\beta\$$, when there is current only in $$\\alpha\$$ is: $$\\phi_\alpha=\phi_\beta\$$. That is, the flux induced by $$\\alpha\$$ in $$\\beta\$$ is the same flux that is produced by $$\\alpha\$$ or all flux produced by $$\\alpha\$$ passes through $$\\beta\$$ winding.