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In a circular region of radius
MATHEMATICS · Subjective · ISC · Mathematics · Physics · Calculus
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.
Related theory
Accumulation Concepts
Second fundamental theorem of calculus
Integrals of standard functions
Definite integrals
Integrals
Integration Techniques
Standard algebraic integrals
Fundamental theorem of calculus
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