A real inductor, because of parasitic contributions, behaves differently with respect to an ideal inductor. In the following slide of a course I am studying the equivalent model of a real inductor is provided:
Assuming negligibile some elements (as explained in the slide), we get the following simplified series configuration:
Now I have problems: in the following slide, an alternative parallel configuration is given:
Question: how does my professor find the values of this alternative parallel configuration? My idea is the following: I impose that the series impedance is equal to the parallel impedance, but as you can see from my computations, I still do not arrive to those formulas.