Page 1 Name _______________________________
Electrodynamics, Physics 323 Final exam 8.20 am, Tuesday June 5, 2007
Spring 2007 Instructor: David Cobden
Do not turn this page until the buzzer goes at 8.20. You must hand your exam to me before I leave the
room at 10.25.
Attempt all the questions.
Please write your name on every page and your SID on the first page.
Write all your working on these question sheets. Use this front page for extra working. It is important
to show your calculation or derivation. Some of the marks are given for showing clear and accurate
working and reasoning.
Watch the blackboard for corrections or clarifications during the exam.
This is a closed book exam. No books, notes or calculators allowed.
00
00
0010
0001
vc
vc
μ
ν
γγ
γγ
−
⎛⎞
⎜⎟
−
Λ=
⎜⎟
⎜⎟
⎝⎠
0000
xyz
xzy
yz x
zyx
EcEcEc
Ec B B
FEc B B
Ec B B
μν
⎛⎞
⎜⎟
−−
=⎜⎟
−−
⎜⎟
−−
⎝⎠
3
0
x
x
μ
μν
ν
ν
=
′=Λ
∑ 33
00
FF
μ
ν
μ
να
β
αβ
αβ
==
′=ΛΛ
∑∑ Larmor: 22
0
6
qa
Pc
μ
π
=
// //
EE
′= // //
B
B
′= ( )
γ
⊥
⊥⊥
′
=
+×EEvB 2
()c
γ
⊥⊥ ⊥
′=−×BBvE
solutions
