Hall Effect in an alternating current circuit

[Tahmeed]

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.

 

[berkeman]

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