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Electromagnetic Theory I
Problem Set 1
Due: 29 August 2011
This and all future homework will be posted on the course webpage:
http://www.phys.uF.edu/
∼
thorn/homepage/eminfo.html
In the homework assignments, I will refer to problems in Jackson by pre±xing the problem
number with J.
1. a) Solve for the motion of a point particle with charge
q
and mass
m
in constant homoge
neous electric and magnetic ±elds that are perpendicular to each other. ²or de±niteness
take
B
=
B
ˆ
z
parallel to the
z
axis and
E
=
E
ˆ
y
parallel to the
y
axis. Take the initial
condition that the particle is at rest at the origin of coordinates. You may assume that
the speed of the particle remains much smaller than the speed of light throughout the
motion.
b) What condition on the ±elds must hold if the motion stays nonrelativistic throughout?
c) Draw the trajectory followed by the particle projected onto the
x

y
plane, indicating the
coordinates of all the signi±cant features of the motion.
2. J, Problem 1.3
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This note was uploaded on 09/25/2011 for the course PHY 6346 taught by Professor Staff during the Spring '08 term at University of Florida.
 Spring '08
 Staff
 Work

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