The Four-Point Probe method is used to measure the resistivity of a material. This method involves four equally spaced probes as shown in Figure which is in contact with the material of unknown resistance. The current is passing through the outer probes and voltage induces through the inner probes.

This method can be used either in bulk or thin specimen.

*For Bulk -*

Consider the material of thickness 't' when . Then the differential resistance due to the current through the outer probe is given by

As we know the current
flow through two probes so resistance can be written as

So from eq. (1) and
(2), we get

*For Thin Sheet -*It is independent of probe spacing.

The Hall mobility is given as Where is Hall Coefficient and

*n*is the carrier density. So from above data we can find out the resistivity, carrier concentration and Hall mobility.

*For Van der Pauw Method - Click Here*
## 0 Comments

If you have any doubt, please let me know