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Physics 505
Fall 2007
Homework Assignment #2 — Due Thursday, September 20
Textbook problems: Ch. 1: 2.2, 2.8, 2.10, 2.11
2.2 Using the method of images, discuss the problem of a point charge
q
inside
a hollow,
grounded, conducting sphere of inner radius
a
. Find
a
) the potential inside the sphere;
b
) the induced surfacecharge density;
c
) the magnitude and direction of the force acting on
q
.
d
) Is there any change in the solution if the sphere is kept at a ﬁxed potential
V
? If
the sphere has a total charge
Q
on its inner and outer surfaces?
2.8 A twodimensional potential problem is deﬁned by two straight parallel line charges
separated by a distance
R
with equal and opposite linear charge densities
λ
and

λ
.
a
) Show by direct construction that the surface of constant potential
V
is a circular
cylinder (circle in the transverse dimensions) and ﬁnd the coordinates of the axis
of the cylinder and its radius in terms of
R
,
λ
, and
V
.
b
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 Fall '08
 Stephens,P
 Charge, Magnetism, Work

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