834_Physics ProblemsTechnical Physics

834_Physics ProblemsTechnical Physics - 174 P29.43 Magnetic...

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174 Magnetic Fields P29.43 (a) Fq v B mv R B == 2 ω = = × × v R qBR mR qB m 160 10 0450 167 10 431 10 19 27 7 .. . . C T kg rad s ej af (b) v qBR m × × 1 60 10 0 450 1 20 517 10 19 27 7 . . . T m kg ms a f P29.44 Km v = 1 2 2 : 34 0 10 1 60 10 1 2 61 9 2 7 2 . ×× = × −− eV J eV kg e j e j v v 807 10 7 . m s r mv qB × = 1 67 10 8 07 10 520 0162 27 7 19 . kg m s T m *P29.45 Note that the “cyclotron frequency” is an angular speed. The motion of the proton is described by Fm a = : qvB mv r qB m v r m sin90 2 °= (a) ×⋅ × F H G I K J qB m 08 766 10 19 27 7 . . N s C m kg kg m Ns rad s 2 bg (b) vr × F H G I K J 0350 1 1 268 10 77 . rad s m rad (c) v ==× × × F H G I K J 1 2 1 2 1 67 10 2 68 10 1 376 10 22 7 7 2 19 6 . kg m s eV 1.6 10 J eV (d) The proton gains 600 eV twice during each revolution, so the number of revolutions is
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