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866_Physics ProblemsTechnical Physics

# 866_Physics ProblemsTechnical Physics - 206 P30.59 Sources...

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206 Sources of the Magnetic Field P30.59 Model the two wires as straight parallel wires (!) (a) F I a B = µ π 0 2 2 A (Equation 30.12) F B = × × = 4 10 140 2 0 100 2 1 00 10 2 46 7 2 3 π π π e j a f a fa f e j . . . N upward (b) a m g m loop loop loop 2 N m s = = 2 46 107 . upward FIG. P30.59 P30.60 (a) In d r Id B s r = × µ π 0 2 4 ± , the moving charge constitutes a bit of current as in I nqvA = . For a positive charge the direction of d s is the direction of v , so d r nqA ds B v r = × µ π 0 2 4 a f ± . Next, A ds a f is the volume occupied by the moving charge, and nA ds a f = 1 for just one charge. Then, B v r = × µ π 0 2 4 r q ± . (b) B = × × × × °= × 4 10 1 60 10 2 00 10 4 1 00 10 90 0 3 20 10 7 19 7 3 2 13 π π T m A C m s T e je je j e j . . . sin . . (c) F q B = × = × × × ° v B 1 60 10 2 00 10 3 20 10 90 0 19 7 13 . . . sin
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