Don Wilhelm wrote:
Folks,

There is an error in the reply I sent last night (below) that is very
important - it makes a big difference.

When increasing or decreasing the frequency to determine the sign of the
reactance:
One must observe the increasing or decreasing of the IMPEDANCE (Z) and not
just the reactance.

You can note in Larry's VNA data that |Z| has four inflection points and that phase = 0 at each inflection point.

i.e., if d|z|/df = 0
where f is frequency and the d symbols refer to differentiation

there must be a phase zero, which can be seen to be true, since only an impedance with a net zero reactive component will have no change in impedance with frequency.

This is one of the three definitions of parallel resonance. The interested reader can find the other two definitions in Terman's Radio Engineer's Handbook, amongst other places.



Jack
www.cliftonlaboratories.com
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