NanoVNA-H4 – inductor challenge – part 3 visited the basic model of an inductor as comprising a series resistance and inductance, and its failure above perhaps SRF/5, and proposed a simple extension that may give useful prediction of impedance up to SRF and a little above.

Importantly though is that it showed that measurement of Z departed from a frequency independent inductance \(X \propto f\) and some small frequency dependent resistance \(R \propto \sqrt f\) above perhaps 15% of SRF… and so we cannot simply infer the value of the underlying inductance from Z at an arbitrary frequency.

Where \(X \propto f\) we can say that \(L=\frac{X}{2 \pi f}\) (where X is the imaginary part of measured Z).

Let’s return to the plot of L from NanoVNA-APP’s interpretation of measured Z.

At lower frequencies where the plotted value of L is independent of frequency (ie a horizontal line) we can infer that the underlying inductance of the inductor is that value, 20µH in this case (an air cored solenoid). Continue reading NanoVNA-H4 – inductor challenge – part 4