A Hall-effect probe to measure magnetic field strengths needs to be calibrated i

Question

A Hall-effect probe to measure magnetic field strengths needs to be calibrated in a known magnetic field. Although it is not easy to do, magnetic fields can be precisely measured by measuring the cyclotron frequency of protons. A testing laboratory adjusts a magnetic field until the proton's cyclotron frequency is 10.2MHz . At this field strength, the Hall voltage on the probe is 0.541mV when the current through the probe is 0.156mA . Later, when an unknown magnetic field is measured, the Hall voltage at the same current is 1.740mV .

Question : What is the strength of this magnetic field? ___________T

Explanation / Answer

B = 2*pi*m*f/q = 2*pi*1.67*10^-27*10.2*10^6/1.6*10^-19

= 0.6689

What is the strength of this magnetic field

B = 0.6689*1.740/0.541 = 2.1513 T

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