Confirm Hall Effect: Reversing Current & Magnetic Field

[Schniz2]

Homework Statement

Show that the Hall voltage reverses sign if either the current or magnetic field direction is reversed, but the voltage offset reverses sign only if the current direction is reversed. Use the information to confirm the validity of equation see eq1 image

Homework Equations

see eq 2 image

The Attempt at a Solution

Tried lots of algebra but got nowhere? I am thinking maybe there is an intuitive explanation? been tring the right hand rule all night and can't work it out!

Cheers!

 

[nickjer]

It is easy to show that the Hall voltage reverses sign if either the current or magnetic field change direction using the right hand rule. You could also even show it using Equation 2 you listed.

But I am not sure what the voltage offset is, so I can't help you there.

 

[Schniz2]

Actually, i thought about it more and i think i finally kind of understand it... too messy to put into words but it sort of makes sense

nickjer - the voltage offset eliminates the error due to misaligned voltage measurement probes.. you take one hall voltage measurement, reverse the magnetic field and then take another, you then use the equation Vh=0.5*(Vh1-Vh2).

thanks.