1. A cuboid of a semiconductor has contacts over all of its 2 mm 1...

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1. A cuboid of a semiconductor has contacts over all of its 2 mm × 1 mm ends and point contacts approximately half way along its 5 mm length, at the center of the 5 mm × 1 mm faces. A magnetic field of 0.16 T is applied parallel to this face. A current of 5 mA is passed between the end contacts. Assume that the ratio of electronic mobility, μe, to hole mobility, uh, is equal to 10, where the hole mobility is 0.014 m^2/(V-s), the density of holes is Nh = 10^20 m-3, and the density of electrons is Ne = 10^19m-3. A. What is the applied voltage? B. What is the Hall voltage under the above conditions? C. What would be the Hall voltage if there were only electrons present, but assuming the same applied voltage that you calculated in part A? Hint: Use the same electron mobility you calculated above. D. What would be the Hall voltage if there were only holes present, but assuming the same applied voltage that you calculated in part A? E. What would be the Hall voltage if there were only electrons present, but assuming the same applied current as above? F. What would be the Hall voltage if there were only holes present, but assuming the same applied current as above? G. Based on your answers above, is it ever possible to sum Hall voltages for electrons alone and holes alone to the correct Hall voltage when both are present? 1. A cuboid of a semiconductor has contacts over all of its 2 mm × 1 mm ends and point contacts approximately half way along its 5 mm length, at the center of the 5 mm × 1 mm faces. A magnetic field of 0.16 T is applied parallel to this face. A current of 5 mA is passed between the end contacts. Assume that the ratio of electronic mobility, μe, to hole mobility, uh, is equal to 10, where the hole mobility is 0.014 m^2/(V-s), the density of holes is Nh = 10^20 m-3, and the density of electrons is Ne = 10^19m-3. A. What is the applied voltage? B. What is the Hall voltage under the above conditions? C. What would be the Hall voltage if there were only electrons present, but assuming the same applied voltage that you calculated in part A? Hint: Use the same electron mobility you calculated above. D. What would be the Hall voltage if there were only holes present, but assuming the same applied voltage that you calculated in part A? E. What would be the Hall voltage if there were only electrons present, but assuming the same applied current as above? F. What would be the Hall voltage if there were only holes present, but assuming the same applied current as above? G. Based on your answers above, is it ever possible to sum Hall voltages for electrons alone and holes alone to the correct Hall voltage when both are present?

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Given data Dimensions of the cuboid 2mm 1mm 5mm Magnetic field strength B 016 T Current I 5 mA Electron mobility e to hole mobility h ratio 10 Hole mobility h 0014 m 2 Vs Density of holes Nh 10 20 m 3 ... View the full answer