196
Chapt. 25
Electric Potential
where
λ
is the linear charge density. What happens if either of
R
goes to infinity or zero?
How is the resulting problem avoided in practice?
c) The potential difference for an infinite plane of charge between points
vector
r
and
vector
r
0
which is
a vector in the plane is chosen as the zero point for the potential.
The
z
direction is
perpendicular to the plane. Recall the electric field for an infinite plane of charge is
vector
E
=
±
σ
2
ε
0
ˆ
z,
where
σ
is the area charge density and upper case for the positive
z
side of space and lower
case is for the negative
z
side of space. What happens if
z
(the
z
component of
vector
r
) goes to
infinity? How is the resulting problem avoided in practice?
025 qfull 00300 2 3 0 moderate math: PE of uniform charged ball
5. You have uniformly charged sphere of charge
Q
and radius
R
. We’re going to find the potential
ENERGY
of this charge assembly (relative to zero when all the charge bits are at infinity
relative to each other).
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 Fall '06
 Buchler
 Physics, Charge, Electric Potential, Potential Energy, Fundamental physics concepts, σ, λ

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