art wrote:

David are you going nuts? I used the word impedance whichcan mean two
components only one of which is used for power.

No! You used the phrase "reactive impedance".

That is significantly different from "Complex Impedance"!

XL [2*Pi*f*L] is a reactive impedance, not a complex impedance!

XC [1/(2*Pi*f*C)] is a reactive impedance, not a complex impedance.

R[Rr + Rloss] + j[XL] is a complex impedance.

I still say you're using technical definitions that do not conform to the
standard definitions.