In a Hall-effect experiment, a current of 3.7 A sent lengthwise through a conductor 1.5 cm wide, 4.0 cm long, and 12 μm thick produces a transverse (across the width) Hall potential difference of 78 μV when a magnetic field of 0.76 T is passed perpendicularly through the thickness of the conductor.

a) Find the drift velocity of the charge carriers and the number density of charge carriers.
b) Show on a diagram the polarity of the Hall potential difference.

Respuesta :

Answer

given,

current, I = 3.7 A

width of conductor = 1.5 cm

Length = 4 cm

thickness = 12 μm

hall potential difference = 78 μV

magnetic field = 0.76 T

a) drift velocity of the charge carrier

    [tex]v_d = \dfrac{V_H}{Bd}[/tex]

    [tex]v_d = \dfrac{78 \times 10^{-6}}{0.76 \times 0.015}[/tex]

    [tex]v_d = 6.84 \times 10^{-3}\ m/s[/tex]

   number density of charge carrier

    [tex]n=\dfrac{I}{Aev_d}[/tex]

    [tex]n=\dfrac{3.7}{0.015\times 12 \times 10^{-6}\times 1.6 \times 10^{-19}\times 6.84 \times 10^{-3}}[/tex]

         n = 1.878 x 10²⁸ electrons/m³

Ver imagen wagonbelleville