5. We assume the current ﬂows in the + x direction and the particle is at some distance d in the + y direction (away from the wire). Then, the magnetic Feld at the location of the charge q is ~ B = µ0 i 2 πd ˆ k . Thus, ~ F = q~v × ~ B = µ0 iq 2 πd ³ ~v × ˆ k ´ . (a) In this situation, ~v = v ( − ˆ j) (where v is the speed and is a positive value). Also, the problem speciFes q> 0. Thus, ~ F = µ0 iqv 2 πd ³ ( − ˆ j) × ˆ k ´ = − µ0 iqv 2 πd ( ˆ i) , which tells us that ~ F q
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.