Mutual Inductance (Require EMF to Distance equation)

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SUMMARY

This discussion focuses on calculating the physical distance between an inductive wire and a sensor using mutual inductance principles. The wire carries a 20Vac peak-to-peak current at 125mA and 10kHz, while the sensor circuit outputs a 10Vac peak-to-peak waveform. The output is rectified to 5V DC and processed by an ATMega328 microcontroller programmed in Arduino. The user presumes a non-linear relationship, potentially following the inverse square law (1/D²), but seeks clarification on the induced EMF calculation.

PREREQUISITES
  • Understanding of mutual inductance principles
  • Knowledge of AC circuit analysis
  • Familiarity with ADC input processing on ATMega328
  • Basic concepts of electromagnetic theory, specifically Ampere's Law
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Electronics engineers, hobbyists designing sensor circuits, and anyone involved in inductive sensing applications.

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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