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32_Ch 19 College Physics ProblemCH19 Magnetism

# 32_Ch 19 College Physics ProblemCH19 Magnetism - 172...

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172 CHAPTER 19 19.68 (a) A charged particle moving perpendicular to a magnetic field follows a circular arc with the magnetic force supplying the centripetal acceleration. Thus, 2 v evB m r = or erB v m = The time required for the electron to traverse the semicircular path it follows while in the field is then ( ) ( )( ) 31 8 19 3 9.11 10 kg 1.79 10 s 1.60 10 C 1.00 10 T distance traveled r m t v erB m eB π π π × = = = = = × × × (b) The maximum penetration of the electron into the field equals the radius of the semicircular path followed while in the field. Therefore, and 2 2.00 cm 2.00 10 m r = = × ( )( )( ) 19 2 3 31 1.60 10 C 2.00 10 m 1.00 10 T 9.11 10 kg erB v m × × × = = × 6 3.51 10 m s = × The kinetic energy is then ( ) ( ) 2 2 31 6 1 1 9.11 10 kg 3.51 10 m s 5.62 2 2 KE mv = = × × = ( ) 18 10 J × or 18 19 1 eV 5.62 10 J 35.1 eV 1.60 10 J KE = × = × 19.69 With currents in opposite directions, wires 1 and 2
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