29::214 Classical Electrodynamics II
 Spring  Semester 2011


The main textbooks are Landau and Lifshitz, The Classical Theory of Fields, 4th Revised English Edition (LL hereafter),  Landau, Lifshitz, and Pitaevsky, Electrodynamics of Continuous Media, Second Revised English Edition (LLP hereafter), and  J. D. Jackson, Classical Electrodynamics; 3rd Edition, Wiley (JDJ hereafter).


PS: Problem Set

Week
 Assignment
1

Readings: JDJ Ch: 1 and (optionally) LLP  § 1

Problem set 1 (due next Tuesday 1/25)

  • JDJ problems: 14.5 and 1.1
  • Draw polar plots for the power radiated per unit solid angle for an accelerated particle    1) in the non-relativistic case, 2) in the linear relativistic case and 3) the circular      relativistic case. Use numerical values of your choice for the acceleration and velocity.
  • Calculate the energy radiated per turn for electrons of 100 GeV moving in a circular orbit of 26 km of circumference (LEP). 
2 Readings: JDJ Ch: 2 and (optionally) LLP  § 2 and 3

Problem set 2 (due next Tuesday 2/1)

  • JDJ problems: 1.3, 1.4,  1.6 and 1.7
3 Problem set 3: JDJ:  2.4, 2.5, 2.7 and 2.9 due next Tuesday (2/8/11)

additional problems (NOT collected): 1.13, 1.22, 2.1 and 2.2

Readings: optionally LLP  § 4 and 5
4 Readings: JDJ Ch: 3

Problem set 4: JDJ: 2. 12, 2.13, 2.23 and 3.1due next Tuesday (2/15/11)

additional problems (NOT collected): 2.11, 2.14 and 2.26.
5 Readings: JDJ Ch: 4 and (optionally) LLP  § 6 and 7

Problem set 5: JDJ: 3.2, 3.5, 3.6 and 3.9 + Comparison of Fourier expansions Eq. (2.59) for
Phi(x,0)=x*(a-x) with a numerical solution with a relaxation method
see notebook for an example
due next Tuesday (2/22/11)

additional problems (NOT collected): 3.8, 3.10 
6 Readings: JDJ Ch: 5 and (optionally) LLP  § 11
7 Midterm 3/2

Readings: JDJ: Introduction

Problem set 6: JDJ: 3.13, 4.1, 4.3 and 4.8, 
+ show that the integral  formula for I_n(x) given in class has the correct series expansion in x and reproduces the large x behavior (3.104).

due next Tuesday (3/8/11)

additional problems (NOT collected): 4.6 and 4.9
Spring Break
8 Readings: JDJ: Chapters 4 and  5 (sections not covered yet)

Problem set 7: JDJ: 4.10, 4.11, 4.13, 5.1 and 5.2 (a).

additional problems (NOT collected): 4.9

due next Tuesday (3/29/11)
9 Readings: JDJ: Chapter 6

Problem set 8: JDJ: 5.3, 5.6, 5.13, 5.15, 5.22

additional problems (NOT collected):  5.8, 5.10, 5.19  and 5. 34

due next Tuesday (4/5/11)
10 Readings: JDJ: Chapter 7

Problem set 9: JDJ: Chapter 7 problems 1, 2, 6, 13, 22

due next Thursday (4/14/11)

additional problems (NOT collected):  5.35, 6.12, 7.8
11 Readings: JDJ: Chapter  8
12 Midterm II: 4/20/11


Readings: JDJ: Chapter 9

Problem set 10: JDJ: Ch. 8 : 1, 2, 5, 6; Ch. 9: 2.

due next Thursday (4/28/11)
13 Readings: JDJ: Chapter 10

Problem set 11: JDJ: Ch. 9: 16 and 17; Ch. 10: 1, 5 and 11
14 Readings: JDJ: Chapter 13
The final will be on Monday, May 09 2011  at 7:30 A.M.   (early morning)