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Mathematics
Problem
In a circular region of radius
0.10
m
0.10\,\text{m}
0.10
m
, the magnetic field is perpendicular to the plane and varies with radial distance
r
r
r
as
B
(
r
)
=
0.50
r
0.10
T
B(r)=0.50\,\frac{r}{0.10}\,\text{T}
B
(
r
)
=
0.50
0.10
r
T
for
0
≤
r
≤
0.10
m
0 \le r \le 0.10\,\text{m}
0
≤
r
≤
0.10
m
. Find the magnetic flux through the entire circular area.
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