Answer to Question #131096 in Physics for Vijay

Question

Estimate the Hall field and magnetic field for following case: dimension of a rectangular sample of
semiconductor: width – 2mm, thickness – 1mm, Hall coefficient for the sample - 10-2 m3
/C. On passage of
1 mA current through the sample, 1mV Hall voltage is developed.

Answer 1

The output Hall voltage is

$$V_H=R_H\cdot\frac{IB}{t},\\\space\\ B=\frac{V_Ht}{R_HI}=\frac{0.001\cdot0.001}{10^{-2}\cdot0.001}=0.1\text{ T}.$$

Hall field is

$$E_H=\frac{V_H}{w}=\frac{0.001}{0.002}=0.5\text{ V/m}.$$