Physics 321, Autumn Quarter 2015
Electrodynamics: Homework Assignment 6
(a) Turn in all problems and clearly note
all constants and assumptions you use.
(1point penalty each otherwise)
(b) Use 8
½
x 11 paper & staple
(1point penalty each otherwise)
Due 9:30 am Thursday November 12
1. Challenge problem. Consider the capacitor shown below. Each
plate has length
L
and width
W
. The capacitor plates are not quite
parallel. The gap is
d
on one side and
d
+
δ
d
on the other. Ignoring
fringing fields, find the electrostatic potential between the plates. Hint:
this problem has multiple symmetries: how can these symmetries be
applied to Laplace’s equation?
.
L___
i
d
+:'{
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2. Consider two semiinfinite grounded planes joining at an angle
π
/3
as shown below. A charge +
Q
is not necessarily along the midplane.
Make a careful sketch showing the size and positions of charges for
the corresponding imagecharge problem.
3. Consider a lightning cloud drifting overhead. At the earth’s surface
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 Spring '16
 Laumann
 Magnetism, Work, Laplace, Electric charge, 300 m, 600 m, 100 volts, 1point penalty

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