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6
5. We treat the system as a superposition of a disk of surface charge density
σ
and
radius
R
and a smaller, oppositely charged, disk of surface charge density –
and radius
r
.
For each of these, Eq 2437 applies (for
z
> 0)
Vz
R
zz
r
z
=+
−
+
−
+−
ε
22
0
0
e
j
e
j
.
This expression does vanish as
r
→
∞
, as the problem requires. Substituting
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 Spring '10
 Rebello,NobelS
 Charge

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