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3_drude_model_solutions.md 4.03 KiB

Solutions for Drude model exercises

Exercise 1: Extracting quantities from basic Hall measurements

Hall voltage is measured across the sample width. Hence,

V_H = -\int_{0}^{W} E_ydy

where E_y = -v_xB.

R_{xy} = -\frac{B}{ne}, so it does not depend on the sample geometry.

If hall resistance and magnetic field are known, the charge density is calculated from R_{xy} = -\frac{B}{ne}.

As V_x = -\frac{I_x}{ne}B, a stronger field makes Hall voltages easier to measure.