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PHY2061
R. D. Field
Department of Physics
div_1.doc
Univesity of Florida
Divergence of a Vector Function
Let
z
z
y
x
F
y
z
y
x
F
x
z
y
x
F
z
y
x
F
z
y
x
ˆ
)
,
,
(
ˆ
)
.
.
(
ˆ
)
,
,
(
)
,
,
(
+
+
=
be a vector
function of position.
The
divergence
of a
vector function is the flux out of a volume, V,
per unit volume, in the limit of infinitesimal
V.
It is the surface integral per unit volume
as the volume enclosed by the surface goes to
zero:
⋅
=
⋅
∇
=
∫
→
Surface
Closed
V
A
d
F
V
F
F
div
1
lim
)
(
0
Symbols:
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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