The Romer-Lewin ring with inductors (part 4c) - Agreement between theory and experiment
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- Опубліковано 22 сер 2024
- Here I show how the computed and simulated values for the voltages of the two branches of the ring are in excellent agreement with the actual values measured by the oscilloscope (and also by the voltmeters, as shown in the other videos).
This confirms the hypothesis that the self inductance of the ring itself (at the frequency used in this experiment) has nothing to do with the voltages that develops in the ring.
All homogeneous impedance Lewin rings (two resistors, two capacitors, two inductors) behave in the same way: since the same current Iring is flowing in both components, the voltages need to have different amplitudes. All of the voltage drops in the components themselves, while no appreciable voltage drop takes place in the highly conductive copper portions of the ring. The phase is ideally the same for both voltages, when seen with the polarity of the sink convention, and is ideally equal to the phase of the EMF of a single turn. The current, on the other hand is (again, ideally), in phase with the voltages only for the resistive ring, while it is in quadrature in the capacitive and inductive rings (leading in the former, lagging in the latter).
When the ESR of the reactive components is taken into account, the phases can stray sensibly from the ideal value of plus or minus 90°.
As an aside, OpenShot seems now to work fine, so my era of fragmented videos has come to an end. Next video: the pitfalls of measuring current in low impedance loops.
And then, finally, the uncanny inhomogeneous Romer-Lewin rings.