Answer to Question #160429 in Electric Circuits for charan

Question

Rh=1/resistivity

what is the relation between resistivity and hall coefficient may I get the relation with proof

Answer 1

Since hall coefficient is given by, $R_H =\frac{ V t}{IB}$

where V is the voltage, I is current, t is the thickness and B is the magnetic field.

By Ohm's Law, $R = \frac{V}{I} = \frac{\rho t}{A}$ where $\rho$ is the resistivity

Then, $R_H =\frac{ Rt}{B} = \frac{\rho t^2}{A B}$

where A is the area of cross section.