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116. From the previous chapter, we know that the radial field due to an infinite line
source is
E
r
=
λ
2π
0
ε
which integrates, using Eq. 2418, to obtain
VV
dr
r
V
r
r
if
r
r
f
f
i
i
f
=+
F
H
G
I
K
J
z
λ
2π
λ
2π
00
εε
ln
.
The subscripts
i
and
f
are somewhat arbitrary designations, and we let
V
i
= V
be the
potential of some point
P
at a distance
r
i
= r
from the wire and
V
f
= V
o
be the potential
along some reference axis (which intersects the plane of our figure, shown next, at the
xy
coordinate origin, placed midway between the bottom two line charges — that is, the
midpoint of the bottom side of the equilateral triangle) at a distance
r
f
= a
from each of
the bottom wires (and a distance
a
3
from the topmost wire). Thus, each side of the
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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