I WANT THE RIGHT ANSWER PLZ!!! A Hall-effect probe to measure magnetic field str

Question

I WANT THE RIGHT ANSWER PLZ!!!

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 9.60 MHz. At this field strength, the Hall voltage on the probe is 0.544 mV when the current through the probe is 0.149 mA. Later, when an unknown magnetic field is measured, the Hall voltage at the same current is 1.737 mV. What is the strength of this magnetic field? Express your answer with the appropriate units.

Explanation / Answer

B = 2 pi * m * f / q = (2 pi * 1.67 * 10-27 * 9.6 * 106) / (1.6 * 10-19)

= 0.63 T

Hall voltage = i B d / n e A

Vh1 / Vh2 = B1 / B2

B2 = 0.63 * 1.737 / 0.544

B2 = 2.01 T

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