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841_Physics ProblemsTechnical Physics

841_Physics ProblemsTechnical Physics - Chapter 29 P29.66...

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Chapter 29 181 P29.66 Let v x and v be the components of the velocity of the positron parallel to and perpendicular to the direction of the magnetic field. (a) The pitch of trajectory is the distance moved along x by the positron during each period, T (see Equation 29.15) p v T v m Bq p x = = ° F H G I K J = × ° × × = × cos . . cos . . . . . 85 0 2 5 00 10 85 0 2 9 11 10 0 150 1 60 10 1 04 10 6 31 19 4 a f e j a fa f e j e j π π m FIG. P29.66 (b) From Equation 29.13, r mv Bq mv Bq = = ° sin . 85 0 r = × × ° × = × 9 11 10 5 00 10 85 0 0 150 1 60 10 1 89 10 31 6 19 4 . . sin . . . . e je j a f a f e j m P29.67 τ = IAB where the effective current due to the orbiting electrons is I q t q T = = and the period of the motion is T R v = 2 π . The electron’s speed in its orbit is found by requiring k q R mv R e 2 2 2 = or v q k mR e = . Substituting this expression for
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