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Problem
Problem
An electron moves through a uniform magnetic field given by
B
=
B
x
i
^
+
(
3
B
x
)
j
^
\mathbf{B} = B_x\hat{\mathbf{i}} + (3B_x)\hat{\mathbf{j}}
B
=
B
x
i
^
+
(
3
B
x
)
j
^
. At a particular instant, the electron has the velocity
v
=
(
2.0
i
^
+
4.0
j
^
)
m/s
\mathbf{v} = (2.0\hat{\mathbf{i}} + 4.0\hat{\mathbf{j}}) \text{ m/s}
v
=
(
2.0
i
^
+
4.0
j
^
)
m/s
and the magnetic force acting on it is
(
6.4
×
10
−
19
N
)
k
^
(6.4 \times 10^{-19} \text{ N})\hat{\mathbf{k}}
(
6.4
×
1
0
−
19
N
)
k
^
. Find
B
x
B_x
B
x
.
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