Hall Effect in an alternating current circuit

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SUMMARY

The Hall Effect in alternating current (AC) circuits exhibits a Hall EMF that follows an alternating pattern, directly proportional to the current. This EMF does not remain constant; instead, it varies in accordance with the sine wave of the AC current. Additionally, there is a phase relationship between the Hall EMF and the current, which may involve a phase shift. Understanding these dynamics is crucial for accurate measurements in AC applications.

PREREQUISITES
  • Understanding of Hall Effect principles
  • Knowledge of alternating current (AC) circuits
  • Familiarity with phase relationships in electrical engineering
  • Basic grasp of the Lorentz Force concept
NEXT STEPS
  • Research the mathematical modeling of Hall EMF in AC circuits
  • Study the phase shift characteristics in AC measurements
  • Explore journal papers on Hall Effect applications in AC systems
  • Learn about the limitations of Hall Effect sensors in high-frequency AC applications
USEFUL FOR

Electrical engineers, researchers in electromagnetic theory, and students studying AC circuit analysis will benefit from this discussion.

Tahmeed
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Since the classical Hall EMF is proportional to current, in an alternating current circuit, the Hall Emf should also follow an alternating pattern. Is it so? Or the Hall Emf doesn't change in a sine wave pattern instead remains more or less same and has a voltage based on the average/rms current?

Also, if the Hall emf changes according to a wave pattern, then is it in the same phase as the current or there is a phase shift?

I am looking for resources to study this, such as journal papers. However, searching isn't helping me much since I am getting results about Hall Effect Sensor and similar devices more.
 
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The Hall Effect allows you to sense currents from DC up to the frequency limits of your AC measurement device and circuit. As you can see in the diagram at the Wikipedia page, the Lorentz Force will reverse lateral direction as the current through the Hall device changes direction:

https://en.wikipedia.org/wiki/Hall_effect
 

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