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Physics
Physics · electromagnetism
Problem
Transform the integrals over a closed surface (
b
⃗
\vec{b}
b
is a constant vector, and
n
⃗
\vec{n}
n
is a unit vector normal to the surface)
I
⃗
=
∮
n
⃗
φ
d
S
,
I
⃗
=
∮
[
n
⃗
×
A
⃗
]
d
S
,
I
⃗
=
∮
(
n
⃗
⋅
b
⃗
)
A
⃗
d
S
\vec{I}=\oint \vec{n} \varphi d S, \quad \vec{I}=\oint[\vec{n} \times \vec{A}] d S, \quad \vec{I}=\oint(\vec{n} \cdot \vec{b}) \vec{A} d S
I
=
∮
n
φ
d
S
,
I
=
∮
[
n
×
A
]
d
S
,
I
=
∮
(
n
⋅
b
)
A
d
S
into the integrals over the volume inside the surface.
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