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Coaxial cylindrical capacitor
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Words: 31
For coaxial cylinders of radii
a
<
b
and length
L
≫
b
, carrying charges per unit length
±
λ
,
E
(
r
)
=
2
π
ϵ
0
r
λ
r
,
V
=
2
π
ϵ
0
λ
lo
g
a
b
,
C
=
l
o
g
(
b
/
a
)
2
π
ϵ
0
L
.
(15)
The field energy is
U
=
λ
2
L
lo
g
(
b
/
a
)
/
(
4
π
ϵ
0
)
=
Q
V
/2
.
Ancestors
(6)
Electrostatic energy
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