191109-1535 EST
A continuation from my above experiment.
A resistive voltage drop will have the measured voltage in perfect phase and waveform relationship with the current thru the resistance.
An induced voltage in a coil will have a 90 degree phase shift relative to the inducing current. This comes from e = K*N*dPhi/dt . Phi is the magnetic flux which is proportional to the inducing current, and the derivative of a sine wave is a negative cosine wave. Thus, the 90 degree shift in the induced voltage.
In this experiment we have two sine wave shapes of exactly the same frequency and some phase releationship. The sum of two sine waves is another sine wave of some phase angle relative to one of the originating sine waves as a reference.
When the measuring loop area is very small, then the induced voltage in the measuring loop is very small from varying magnetic fields coupling with the measuring loop.
In my previous experiment I first used a very small measuring loop by running one meter lead thru the tube. The second measurement was with a much larger loop by randomly running the measuring lead somewhere outside the tube. Also note that the current thru the tube was from an external randomly located wire, thus, no significant cancelation of magnetic fields from the 10 A current in the region of interest.
Today I reran the experiments with a scope as the measuring instrument and synchronized from the current thru the tube. As expected in the first experiment the measured voltage was in phase with the tube current, and in the second there was a phase shift in the measured voltage, and its amplitude was greater. This provides verification of why the second experiment had a larger voltage.
None of these experiments had any problem from loading of the source by the instrumentation because of the very low impedance of the source being measured.
When making measurements you have to understand your instruments, and the characteristics of what is being measured.
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