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Molecules and Crystals

Problem 6.211

In Hall effect measurements a plate of width h=10 mmh=10 \mathrm{~mm} and length l=50 mml=50 \mathrm{~mm} made of pp -type semiconductor was placed in a magnetic field with induction B=5.0kGB=5.0 \mathrm{kG}. A potential difference V=10 VV=10 \mathrm{~V} was applied across the edges of the plate. In this case the Hall field is VH=50mVV_{H}=50 \mathrm{mV} and resistivity ρ=2.5Ωcm\rho=2.5 \Omega \cdot \mathrm{cm} Find the concentration of holes and hole mobility.

Reveal Answer
 6.211. n=hBV/elρVH=51015 cm3,u0=lVH/hBV==0.05 m2/(Vs)\begin{aligned} &\text { 6.211. } n=h B V / e l \rho V_{H}=5 \cdot 10^{15} \mathrm{~cm}^{-3}, u_{0}=l V_{\mathrm{H}} / h B V=\\ &=0.05 \mathrm{~m}^{2} /(\mathrm{V} \cdot \mathrm{s}) \end{aligned}