An ion enters a mass spectrometer which has a 0.18 Tesla field perpendicular to

Question

An ion enters a mass spectrometer which has a 0.18 Tesla field perpendicular to an electric field of 1600 V/m and selects a velocity. The same magnetic field is then used to deflect the singly charged ion into a circular path of radius 12.5 cm. (a) What velocity was selected? (What velocity can pass through the electric and magnetic field without being deflected?) (b) What was the ion mass? A circular loop of wire of cross-sectional area 0.12 m^2 consists of 200 turns, each carrying 0.50 A. It is placed in a magnetic field of 0.050 T oriented at 30 degree to the plane of the loop. What torque acts on the loop?

Explanation / Answer

m = er^2*B^2/2V

m = 1.6*10^-19*0.125^2*0.18^2/2*1600

m = 2.5*10^-26 kg

v = eBr/m = 1.44*10^5 m/s

2) T = BiAN sin30 = 200*0.5*0.12*0.05*1/2 = 0.3 Nm

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