Consider the mass spectrometer shown schematically in the figure below. The elec

Question

Consider the mass spectrometer shown schematically in the figure below. The electric field between the plates of the velocity selector is 4200 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.0350 T. Calculate the radius r of the path for a singly charged ion with mass

Consider the mass spectrometer shown schematically in the figure below. The electric field between the plates of the velocity selector is 4200 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.0350 T. Calculate the radius r of the path for a singly charged ion with mass m = 4.43 Times 10-26 kg. r = m

Explanation / Answer

The speed of the ion as it leaves the velocity selector.
v = E / B
v = (4200 V/m) / (0.035 T)
v = 120000 m/s

When leaving the velocity selector, the magnetic force equals the centripetal force.
(where Fm is magnetic force and Fc is centripetal force)

Fm = Fc
q v B = (m v^2 )/ r
r = (m

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