While using the Power Analysis Function within the SDS800X HD to show the relationships between Apparent, Real and Reactive (Imaginary) Power employing known loads to do comparisons we realized this PA Function might also allow measurement of the load.
https://www.eevblog.com/forum/beginners/electronics-math-and-power-factor-not-adding-up/Just as a fun experiment (this is NOT claiming to replace a LCR Meter) we decided to give a try utilizing the same setup shown in the link above.
A little algebra will show that:
Z = V^2/AP, where Z is the DUT Magnitude Impedance |R +-jX|, V is the voltage across DUT, and AP is the Apparent Power.
R = Z * Cos (Angle), where R is Real part of Z and Angle is the phase angle between the DUT voltage and current.
X = Z * Sin (Angle), where X is the Reactive (Imaginary) part of Z.
For a capacitive Z then:
C = 1/(2*pi*F*X), where F is the measurement frequency.
R = Z * Cos Angle
We did a couple sample DUTs as 22uF, 100uF and 220uF Electrolytic Capacitors @ 100Hz with results shown below compared to LCR Meter measurements {#} with IM3536:
22uF 200V 18.69uF 3.27Ω {18.82uF 3.31Ω}
100uF 160V 92.59uF 0.705Ω {94.24uF 0.688Ω}
220uF 25V 185.12uF 0.448Ω {193.13uF 0.414Ω}
Edit: Added a low Q axial 100mH inductor [ L = X/(2*pi*F) ]
100mH 110.52mH 396.6Ω {101.50mH 394.18Ω}
Anyway, we thought and interesting use of the DSO PA Function, and as always YMMV

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