Module 6 : PHYSICS OF SEMICONDUCTOR DEVICES
Lecture 33 : Hall Effect
  When both electrons and holes are present, they drift in opposite directions. with holes moving in the direction of current and electrons in the opposite direction. As the sign of their charges are opposite, the Lorentz force acting on them will be in the same direction. Thus both the carriers are deflected towards the same side and they pile up along one of the edges. As there is no closed path for current to flow in the y-direction, the sum of the electron and the hole current in the y-direction must be zero
   
   
 
$\displaystyle qpv_{hy}+ qnv_{ey}=0$
  where $ p$ and $ n$ are respectively the electron and the hole densities and $ v_{hy}$ and $ v_{ey}$ the y-component of the respective drift velocities.
  Example-6
  Exercise 3
   
5
10