Hall Silver
A flat ribbon of silver having a thickness t = 0.200 mm is used in a Hall-effect?
A flat ribbon of silver having a thickness t = 0.200 mm is used in a Hall-effect
measurement of a uniform magnetic field perpendicular to the ribbon. The Hall
coefficient for silver is RH = 0.840 × 10–10 m3/C. (a) What is the density of charge carriers
in silver? (b) If a current I = 20.0 A produces a Hall voltage VH = 15.0 μV, what is the
magnitude of the applied magnetic field?
a) Hall coefficent is defined RH = 1/ne, where n = density of carriers and e = absolute value of electronic charge = 1.60 × 10-19 C. Solve for n
n = 1 / (RH e) = 1/ (0.840E-10 m3/C * 1.60E-19 C)
The answer to a) is
n = 7.44E28 electrons/m^3 (E28 = 1 x 10^28)
This is the density of the conduction electrons.
For b) use these equations:
The Hall voltage VH = I B /d (1/ne) = RH I B / d.
Solve this for magnetic field B:
B = VH d / RH I
B = (15E-6 V 0.2E-3 m) / (0.840E-10 m3/C 20 A)
The answer to b) is
B = 1.79 Tesla = 17.9 kiloGauss
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