Textbook says V=E/w but units don't match

[SherlockHolmie]

In my textbook, it is talking about the Hall Effect on a flat conductor with width w carrying a current i in a uniform magnetic field perpendicular to the plane of the strip. It says that this will create a potential difference of V=E/w where E is the induces electric field from the electrons moving to the right side of the material.

In normally, E=volts/meter, but here, we have E=volts*meter.

Doing deeper dimensional analysis based on V=E/w, we get kg*m^2/(s^3*(A)=(kgm/(s^3*A))/m=kg/(s^3*A) where A is current, which is false.

Why is this potential difference formula different?

Thanks

 

[kuruman]

Why is this potential difference formula different?

Because it's a typo.

 

[SherlockHolmie]

Because it's a typo.

It should be V=Ew, right?

 

[kuruman]

It should be V=Ew, right?

Right.

 

[nasu]

What book? What page? Can you post a scan of the page?

 

[SherlockHolmie]

What book? What page? Can you post a scan of the page?

Halliday and Resneck Physics Volume 2 Edition 4 page 745.

 

[Mister T]

Wow! 4th edition. That's an old one.