Hall Effect Assignment Help

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The Hall Effect

  • An extremely important measurement process for determining the majority carrier concentration and mobility.

1274_hall effect.png

Figure The experimental setup for the Hall Effect measurement.

  • If a magnetic field is applied perpendicular to the direction of carrier flow, the path of the carriers get deflected because of the Lorentz force experienced by carriers, which can be given by F = q(E + v x B) (2.29)
  • Thus, the holes will get deflected towards the y-direction, and establish the electric field along the y-direction, such that in steady state Ev = vxBz
  • The establishment of this electric field is called as the Hall effect, and the resulting voltage VAB = EyW is known as Hall voltage.
  • By using the expression for drift current,  1190_hall effect1.png is called as Hall coefficient.
  • The measurement of the Hall voltage along with information for the magnetic field and current density gives the majority carrier concentration  1158_hall effect2.png
  • The majority carrier mobility  2333_hall effect3.png can be attained from the measurement of the resistivity  1006_hall effect4.png
  • This experiment can be performed to attain the variation of majority carrier concentration and mobility as the function of temperature.
  • For the n-type samples, Hall voltage and the Hall coefficient are negative  2167_arrow.png  a common diagnostic tool for obtaining sample type.
  • Note: caution should be taken for the near intrinsic samples.

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