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posted by  daun on 11/4/2009 2:29:39 PM  |  status: Live  |  Earned Karma: 25

what b-field must be used to maintain the ions in this orbit?

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General Physics Physics (4th) by Walker N/A N/A 11/4/2009 at 4:00:00 PM
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at the Fermilab accelerator in Weston, Illinois, singly-charged ions with momentum 6.4*10^(-16) kg(m)/(s) are held in a circular orbit of radius 1 km by an upward magnetic field.  what b-field must be used to maintain the ions in this orbit?
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posted by watt (MNK) on 11/4/2009 8:48:06 PM  |  status: Live
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Response Details:
Momentum  mv = 6.4 * 10 ^ -16 kg m / s
charge  q = 1.6 * 10 ^ -19 C
radius r = 1 km = 1000 m
In magnetic field  ,Bvq = mv^ 2 / r
magnetic field  B = mv / rq
                          = 6.4 * 10 ^ -16 / ( 1000* 1.6 * 10 ^ -19 )
                          = 4 T
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