Mutual Inductance (Require EMF to Distance equation)

AI Thread Summary
The discussion centers on designing a buggy that tracks an inductive wire using two inductor sensors, with the wire carrying 20Vac pk-pk at 125ma and 10kHz. The sensor circuit outputs a 10Vac pk-pk waveform, which is precision rectified to 5V DC for an ADC input on an ATMega328. The main challenge is calculating the physical distance between the wire and the sensor based on the ADC input. The user suspects the relationship between distance and induced EMF may not be linear, potentially following an inverse square law similar to Ampere's law. Clarification on this relationship is sought from the community, particularly from a user named Charles Link.
MathsDude69
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Hey Folks. I am currently designing a buggy which tracks an inductive wire using two inductor sensors. The wire is carrying 20Vac pk-pk , 125ma at 10kHz. I have designed a sensor circuit which has a ratio of 2:1 ie it outputs a waveform of 10Vac pk-pk (assuming 100% mutual inductance). This is the precision recitifed to 5V DC (with some ripple ofcourse). I am feeding this into an ADC input on an ATMega328 programmed in arduino. I am trying to caluculate from the ADC input the physical distance between the wire and the sensor.

Im presuming that the relationship in not linear and is possibly along the lines of 1/D2 in accodance with amperes law, although this ofcourse gives force and not induced emf.

Does anyone know??
 
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