PHYS 532: Classical Electrodynamics
Homework Set 9
Due at the beginning of class, Friday March 30, 2012
9.1 Electromagnetic elds in a moving tube
9.2 Read sections 3133 and 3637 of Landau and Lifshitz. After you have read these sections, for credit, write
PHYS 532: Classical Electrodynamics
Homework Set 12
Due at the beginning of class, Friday April 19, 2013
12.1 Group velocity in a moving medium
Let u be the group velocity of a light pulse propagating in a medium at rest in frame K . Suppose K
moves with
PHYS 532: Classical Electrodynamics
Homework Set 10
Due at the beginning of class Wednesday April 3, 2013
10.1 A surprising discovery
Working alone in your laboratory late at night, you discover evidence that the Gauss equation is incorrect.
The correct e
PHYS 532: Classical Electrodynamics
Homework Set 11
Due at the beginning of class, Wednesday April 10, 2013
11.1 The Biot-Savart law and the Ampre equation
e
Show explicitly that taking the curl of the Biot-Savart equation
B(r) =
1
c
jR
dV
R3
(where R = r
PHYS 532: Classical Electrodynamics
Homework Set 8
Due at the beginning of class, Friday March 15, 2013
8.1 Electromagnetic force on a charge
A charge q is at rest in an instantaneous inertial frame K in a purely electric eld E , so the force on q
(in fra
PHYS 532: Classical Electrodynamics
Homework Set 7
Due at the beginning of class, Wednesday March 19, 2014
7.1 A particle in a uniform electric eld and a nonuniform magnetic eld
A particle of charge q and mass m moves in the xy plane in a magnetic eld B =
PHYS 532: Classical Electrodynamics
Homework Set 6
Due at the beginning of class Friday February 28, 2014
6.1 The charged particle equation of motion
In the usual notation the Lagrangian for a relativistic charged particle in an electromagnetic eld is
L=
PHYS 532: Classical Electrodynamics
Homework Set 5
Due at the beginning of class Friday February 21, 2014
5.1 A relativistic harmonic oscillator
Suppose the relativistic Lagrangian for a particle of mass m in a one-dimensional harmonic potential is
L=
mc2
PHYS 532: Classical Electrodynamics
Homework Set 4
Due at the beginning of class, Friday February 14, 2014
4.1 The visual appearance of a moving object
A distant camera snaps a photograph of a thin wire moving along its axis with speed V and proper
length
PHYS 532: Classical Electrodynamics
Homework Set 1
Due at the beginning of class, Friday January 24, 2014
1.1 Read sections 1-5 of Landau and Lifshitz.
After reading these sections, for credit write I have read sections 1-5 of Landau and Lifshitz.
1.2 The
PHYS 532: Classical Electrodynamics
Homework Set 3
Due at the beginning of class, Friday February 7, 2014
3.1 Moving sidewalks
On their 21st brthday, one twin gets on a moving sidewalk, which carries her to star X at speed 4 c;
5
her twin bother stays hom
PHYS 532: Classical Electrodynamics
Homework Set 2
Due at the beginning of class, Friday January 31, 2014
2.1 Additive rapidities
A particle moves at speed u = c tanh relative to a coordinate system that moves at speed
v = c tanh (in the same direction) r