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Massachusetts Institute of Technology
Department of Physics
8.022 Spring 2004
Assignment 10: Displacement current, Maxwell’s equations, radiation
Post date: Thursday, April 29th
Due date: Thursday, May 6th
Be sure to write your
name
and
section number
on your pset
Please
staple
multiple pages together
1. Purcell 9.6: Radiation’s
~
E
and
~
B
in SI units (15 pts). Be careful: Eq. (15’) of Purcell
has a serious error! It should give
~
∇·
~
E
=
ρ/²
0
.
2. Purcell 9.8: Wave in a box (15 pts).
3. Purcell 9.13: Relativistic transformation of wave’s Felds (15 pts).
4. Discovery of magnetic charge (10 pts): You discover magnetic charge. Congratulations.
The units of magnetic charge density,
μ
, are chosen such that
~
∇·
~
B
= 4
πμ
.
(a) [5 pts] When this magnetic charge is in motion, there is a “magnetic current density”
~
L
=
μ~v
. In analogy to electric charge density and electric current densities, write down
the equation of continuity for magnetic charge.
(b) [5 pts] What do Maxwell’s equations become with this new charge?
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 Spring '08
 Hughes
 Current, Mass, Radiation

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