If you were to use a servo to keep weights on a torsion balance stationary, you could measure the current required and have a very sensitive gravity balance. The suspended weights and servo could all be soldered inside a copper pipe to all but eliminate drafts and electrostatic forces as noise sources.
A computer controlled linear stage could be used to log data, and to move the test masses external to the assembly and make many measurements over weeks or months of the forces with weights and different distances.
I hope to do this experiment in the next year or two. I welcome anyone who cares to do it before or after me.
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