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Problem
Problem
A wire lying along
y
y
y
-axis from
y
=
0
y = 0
y
=
0
to
y
=
1
y = 1
y
=
1
m carries a current of 2 mA in the negative
y
y
y
-direction. The wire lies in a non-uniform magnetic field given by
B
=
(
0.3
T/m
)
y
i
^
+
(
0.4
Tm
)
y
j
^
\boldsymbol{B} = (0.3 \text{ T/m}) y\hat{\boldsymbol{i}} + (0.4 \text{ Tm}) y\hat{\boldsymbol{j}}
B
=
(
0.3
T/m
)
y
i
^
+
(
0.4
Tm
)
y
j
^
. The magnetic force on the entire wire is
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