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824_Physics ProblemsTechnical Physics

824_Physics ProblemsTechnical Physics - 164 P29.3 Magnetic...

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164 Magnetic Fields P29.3 F v B B q = × ; F j v i B B e = − × ± ± e j Therefore, B = B k ± e j which indicates the negative direction z . FIG. P29.3 P29.4 (a) F qvB B = = × × × ° sin . . . sin . θ 1 60 10 3 00 10 3 00 10 37 0 19 6 1 C m s T e je je j F B = × 8 67 10 14 . N (b) a F m = = × × = × 8 67 10 1 67 10 5 19 10 14 27 13 . . . N kg m s 2 P29.5 F ma qvB B F qv = = × × = × = ° = = × × × = × 1 67 10 2 00 10 3 34 10 90 3 34 10 1 60 10 1 00 10 2 09 10 27 13 14 14 19 7 2 . . . sin . . . . kg m s N N C m s T 2 e je j e je j The right-hand rule shows that B must be in the y direction to yield a force in the + x direction when v is in the z direction. FIG. P29.5 P29.6 First find the speed of the electron. K mv e V U = = = 1 2 2 : v e V m = = × × = × 2 2 1 60 10 2 400 9 11 10 2 90 10 19 31 7 . . . C J C kg m s e j b g e j (a) F qvB B , . . . . max C m s T N = = × × = × 1 60 10 2 90 10 1 70 7 90 10 19 7 12 e je j a f (b) F B , min = 0 occurs when v is either parallel to or anti-parallel to B . P29.7 F qvB B = sin θ so 8 20 10 1 60 10 4 00
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