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PHY2061
R. D. Field
Department of Physics
curl_1.doc
University of Florida
Curl of a Vector Function
The curve C is the boundary of the surface S
which it spans.
Define the
circulation
Γ
as the
line integral around the closed curve C as follows:
∫
⋅
=
Γ
C
r
d
F
.
Symbols:
F
G
F
curl
×
∇
=
=
)
(
Definition #1:
The component of
F
×
∇
in the direction of the unit vector
n
ˆ
is the limit
of the circulation
Γ
per unit area, as the enclosed area goes to zero.
⋅
=
Γ
=
⋅
×
∇
∫
→
→
C
A
A
r
d
F
A
A
n
F
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This note was uploaded on 10/17/2011 for the course PHY 2061 taught by Professor Fry during the Spring '08 term at University of Florida.
 Spring '08
 FRY
 Physics

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