C Exercise 19.18 In a mass spectrometer, a beam of protons enters a magnetic fie

Question

C Exercise 19.18
In a mass spectrometer, a beam of protons enters a magnetic field. Some protons make exactly a one-quarter circular arc of radius 0.60 m.
Part A
If the field is always perpendicular to the proton's velocity, what is the field's magnitude if exiting protons have a kinetic energy of 8.0 keV?
Express your answer using two significant figures.
B = ____ T




Part B
How long does it take the proton to complete the quarter circle?
Express your answer using two significant figures.
t = ___ s



Part C
Find the net force (magnitude) on a proton while it is in the field.
Express your answer using two significant figures.
F = ___ N

Explanation / Answer

a)r=mv/qB

v=sqrt(2K/m)=1.24*106m/s

B=mv/qr=2.2*10-2T

b)t=d/v=r/2v=7.6*10-7s

c)F=qvB=4.36*10-16N

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