Interpreting Hall Effect Equation Physically: B & V

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Discussion Overview

The discussion revolves around the physical interpretation of the Hall Effect equation, specifically examining the relationship between the magnetic field (B) and the Hall voltage (V). Participants explore how variations in parameters such as carrier density (n) and drift time (t) influence the Hall voltage, as well as the underlying mechanics of charge carriers in a conductor.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant inquires about the physical interpretation of the Hall Effect equation and the relationship between B and V.
  • Another participant describes the Lorentz force acting on charge carriers and questions the implications of this force when carriers are constrained in a conductor.
  • A participant notes that for a given current, the drift velocity of charge carriers increases with lower carrier density (n) and discusses the dependence of Hall voltage on the Lorentz force and velocity.
  • There is a clarification that the Hall voltage (V) is developed across the width of the conductor due to the Lorentz force, prompting further exploration of factors that influence the magnitude of V.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the relationship between the parameters involved in the Hall Effect. There is no consensus on how n and t specifically affect V, indicating that multiple competing views remain in the discussion.

Contextual Notes

Participants have not fully resolved the implications of the Lorentz force on the Hall voltage, and there are assumptions regarding the definitions and relationships between the variables that remain unaddressed.

Who May Find This Useful

This discussion may be of interest to those studying electromagnetism, particularly in understanding the Hall Effect and its applications in physics and engineering contexts.

asdff529
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how to interpret this equation physically?
Why increase of B will lead to increase of V?
Similar to I,n,e and t
thx a lot
 
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The force on the charge carriers in the current is ##\vec{F}=q\vec{v}\times\vec{B}## - if the charge carriers are constrained to move in a conductor, what happens?
 
Simon Bridge said:
The force on the charge carriers in the current is ##\vec{F}=q\vec{v}\times\vec{B}## - if the charge carriers are constrained to move in a conductor, what happens?

i got how to interpret B and e maybe
But for n and t,why would it matter the V?
 
For a given current, the drift velocity of the carriers is higher if you have lower carrier density (n).
Actually, if you have lower values of n*e.
And the Hall voltage depends on the Lorentz force which depends on the velocity.
 
asdff529 said:
i got how to interpret B and e maybe
But for n and t,why would it matter the V?
The V is the voltage developed across the "width" of the conductor as a result of the lorentz force. V is what the equation is trying to find.

So work it out - what makes V bigger? What makes V smaller?
 

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