solutions_32 - PHY2061 R. D. Field Chapter 32 Solutions...

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PHY2061 R. D. Field Solutions Chapter 32 Page 1 of 5 Chapter 32 Solutions Problem 1: A charged particle, Q = 0.5 C , enters a region with a uniform magnetic field z y x B & 4 & 3 & 2 + + = r ( in Tesla ). If its velocity is given by z y x v & 2 & 3 & 2 + + = r ( in m/s ), what is the magnitude of the magnetic force on the particle ( in N )? Answer: 3.6 Solution: We know that the magnetic force on a particle is ) & 4 & 6 ( 4 3 2 2 3 2 & & & y x Q z y x Q B v Q F = = × = r r r . The magnitude of the force is N N Q F 6 . 3 52 ) 5 . 0 ( 16 36 = = + = . Problem 2: A charged particle, Q=0.5 C , and mass M = 200 grams enters a region with a uniform magnetic field y x B & 1 & 2 = r ( in Tesla ). What is the magnitude of the magnetic force on the particle ( in N ), if its velocity is y x v & 2 & 4 = r ( in m/s )? Answer: zero Solution: We know that the magnetic force on a particle is 0 0 1 2 0 2 4 & & & = = × = z y x Q B v Q F r r r . Note that v is in the same direction as B and hence the magnetic force is zero. Problem 3: One end of a straight wire segment is located at (x,y,z) = (0,0,0) and the other end is at (1m,2m,3m) . A current of 2 Amps flows through the segment. The segment sits in a uniform magnetic field y x B & 1 & 2 = r ( in
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PHY2061 R. D. Field Solutions Chapter 32 Page 2 of 5 Tesla ). What is the magnitude of the magnetic force ( in N ) on the wire segment? Answer: 16.7 Solution: We know that the magnetic force on a wire segment is () Tm z y x I z y x I B L I F & 5 & 6 & 3 0 1 2 3 2 1 & & & + = = × = r r r , with the magnitude of the force given by N Tm A Tm I F 73 . 16 367 . 8 ) 2 ( 25
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solutions_32 - PHY2061 R. D. Field Chapter 32 Solutions...

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