David Sang and Graham Jones Solutions for Chapter: Motion of Charged Particles, Exercise 6: Questions

A Hall probe is designed to operate with a steady current of $0.020 A$ in a semiconductor slice of thickness $0.05 mm$. The number density of charge carriers (electrons) in the semiconductor is $1.5\times {10}^{23}{m}^{-3}$.

(a) Calculate the Hall voltage that will result when the probe is placed at right angles to a magnetic field of flux density $0.10 T$. (Elementary chargee$=1.60\times {10}^{-19}C.$)

A Hall probe is designed to operate with a steady current of $0.020 A$ in a semiconductor slice of thickness $0.05 mm$. The number density of charge carriers (electrons) in the semiconductor is $1.5\times {10}^{23}{m}^{-3}$.

(b) Explain why the current in the Hall probe must be maintained at a constant value.

Suggest how the Hall effect could be used to determine the number density of charge carriers n in a semiconducting material.