Summarizing the Hall Effect

Summary

• The Hall effect is the creation of voltage \(\epsilon \), known as the Hall emf, across a current-carrying conductor by a magnetic field.
• The Hall emf is given by

  \(\epsilon =\text{Blv}\phantom{\rule{0.25em}{0ex}}(B,\phantom{\rule{0.25em}{0ex}}v,\phantom{\rule{0.25em}{0ex}}\text{and}\phantom{\rule{0.25em}{0ex}}l,\phantom{\rule{0.25em}{0ex}}\text{mutually perpendicular})\)

  for a conductor of width \(l\) through which charges move at a speed \(v\).

Glossary

Hall effect

the creation of voltage across a current-carrying conductor by a magnetic field

Hall emf

the electromotive force created by a current-carrying conductor by a magnetic field, \(\epsilon =\text{Blv}\)