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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):

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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.
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