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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
=
µ
0
i
2
πd
ˆ
k
.
Thus,
~
F
=
q~v
×
~
B
=
µ
0
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
=
µ
0
iqv
2
πd
³
(
−
ˆ
j)
×
ˆ
k
´
=
−
µ
0
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.
 Fall '08
 SPRUNGER
 Physics, Charge, Current

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