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 singly ionized molecule of isoflurane (charge = +e) moves at a speed of 6.80 103 m/s on a circular path that has a radius of 0.100 m. What is the magnitude of the magnetic field that the spectrometer uses?

___T

Answer 1

The magnetic force is given by

           F= m*v²/r

And F = Bqv

        B*q*v =m*v²/r

    The magnetic field that the spectrometeris

             B = m*v/(q*r)

   Here m = 3.06 *10^-25 kg

           q = 1.6*10^-19C

            v = 6.80*10³m/s

            r = 0.100 m

Substitute the values

B = 3.06 *10^-25*6.80*10³/1.6*10^-19*0.100

B = 130.05*10^-3

B = 0.130 T