In Hall effect, an applied magnetic field induces a transverse voltage in a sample. However, Faraday's law states that a time varying flux creates a voltage. Is it possible to incorporate Hall effect in Faraday's equation so that stationary and varying fluxes induce a voltage in a circuit? However, in thermoelectricity a voltage is developed when a temperature difference between two parts arises. Can we anticipate Hall voltage to occur when a magnetic field is applied to thermoelectric sample?
Arbab,
1) Lorentz force that is origin of Hall effect indeed involved in Maxvell equations arxiv.org/abs/physics/0206022
2) The reason of a current in a conductive sampe can be treated as disturbance of carrier distribution function in a relaxation time approximation for Boltzmann kinetic equation. All external influences (temperature gradient, illumination, electric and magnetic field, deformation) gives the terms in the Generalized kinetic coefficient tensor, all electical transport related effects can be generally deduced in such a manner. Combined interferences give a terms of following order of smallness, as Nernst Effect - en.wikipedia.org/wiki/Nernst_effect
Hall effect requires electric current to flow through the sample which provides the flux required by Maxwell.
Hello,
Hall effect is basically used to produce voltage difference where the direction is very important, transverse to current and applied magnetic field which is perpendicular to the current. So, Maxwell concept is used here just because of faraday's law and ampere's law are being involved here.
Thanks,
Hi,
Here is how the electromagnetic field jumps certain distances; Figure HV transmission pole. It works equally for a large temperature range, they told me (in field research).
https://www.researchgate.net/publication/314750136_Constitutive_equations_and_configurational_torque_for_PhotoVoltaic_panels_related_to_intrinsic_times_of_noncircular_orbits_and_striped_fur
Here is about Low temperature superconductivity in magnetic field
https://www.researchgate.net/publication/312529430_Viscous_climbing_of_Superfluid_helium-4_described_with_noncircular_orbits_in_a_two-level_fractal_related_to_Gait_and_Bob_Dylan_lyrics
Then, there is the Hall-Petch effect in solids, also quantized, since grain size determines thickness, or it could be due to boundary effects since boundaries are a great part of a thin layer.
Technical Report Constitutive equations and configurational torque for PhotoV...
'Can we anticipate Hall voltage to occur when a magnetic field is applied to thermoelectric sample?'
This depends on the presence of a thermoelectric current.
With respect to the original question, I think there is no necessity to alter Faraday's induction law, in case a thermo electric Hall effect can be measured/proven.
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