Question

In the operating room, anesthesiologists use mass spectrometers to monitor the respiratory gases of patients undergoing surgery. One gas that is often monitored is the anesthetic isoflurane (molecular mass = 3.06 × 10^-25 kg). In a spectrometer, a single ionized molecule of isoflurane (charge = + e) moves at a speed of 8.58 × 10³ m/s on a circular path that has a radius of 0.195 m. What is the magnitude of the magnetic field that the spectrometer uses?

Answer 1

"circular path" tells us that the velocity and field are perpendicular, so
F = mv²/r = qvB means that
B = mv² / qvr = mv / qr
B = 3.06e-25kg * 8580m/s / (1.6e-19C * 0.195m)
B = 0.08415 T

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