# PH631: Electromagnetic Theory I, Fall 2015

**Instructor (Fall 2014):**Prof. Ethan Minot**Office:**Weniger 417 (Office hours 9 - 11am Thursdays)**Text:**J.D. Jackson, Classical Electrodynamics, 3rd Ed**Supplementary:**D. J. Griffiths, Introduction to Electrodynamics**Also recommended:**- J. R. Reitz, Foundations of Electromagnetic Theory
- M. Schwartz, Principles of Electrodynamics

**Class Meetings:**MWF 10:00-10:50, Weniger 377

## Calendar

Day | Topic | Reading | Summary | Assignments | |
---|---|---|---|---|---|

1 | M 9/28 | Poisson Eq | Chpt 1 of Prof. Lee's notes | day1_2015.pdf Poisson Eq: Defining the terms. Functions that satisfy the Poisson equation. Derive Gauss's law. | hw1 |

2 | W 9/30 | Superposition principle | Chpt 1 of Prof. Lee's notes | day2_2015.pdf Dimensional reasoning. Laplacian of Coulomb potential. Superposition of Coulomb potentials. | |

3 | F 10/2 | Using symmetries | Chpt 1 of Prof. Lee's notes | day3_2015.pdf The symmetries of the charge distribution are reflected in the electric field. Example of a capacitance calculation. Intro to path integrals. | hw1soln.pdf |

Day | Topic | Reading | Summary | Assignments | |

4 | M 10/5 | Green's function | day4_2015.pdf Derive the Green's function integral for finding potential when charge distribution is known. Practice applying the technique. | hw2 | |

5 | W 10/7 | Method of Images | Chpt 2 of Prof. Lee's notes | day5_2015.pdf Mapping a “type II” electrostatics problem onto a “type I” electrostatics problem. Examples. | |

6 | F 10/9 | Method of Images | Chpt 2 of Prof. Lee's notes | day6_2015.pdf E-fields near a sheet of charge. Charge density at surface of metal. Attractive force between charge and image charge. | hw2soln_2015.pdf |

Day | Topic | Reading | Summary | Assignments | |

7 | M 10/12 | day7_2015.pdf Practice with Gauss's law close to a disk, far from a disk. Method of images for a spherical surface of zero potential. | hw3 | ||

8 | W 10/14 | Python coding | |||

9 | F 10/16 | Chpt 3 of Prof. Lee's notes | day9_2015.pdf Summary of relaxation method for numerical solutions. Reminder of the big picture. Summation of orthogonal functions. | hw3soln_2015.pdf | |

Day | Topic | Reading | Summary | Assignments | |

10 | M 10/19 | Chpt 3 of Prof. Lee's notes | day10_2015.pdf Blackboard question gives practice with Gauss's law and superposition principle. Continue discussing the summation of orthogonal functions to solve Laplace equation given certain boundary conditions. | hw4 | |

11 | W 10/21 | Chpt 3 of Prof. Lee's notes | Guest lecture, Dr. Yun-Shik Lee - | ||

12 | F 10/23 | Chpt 3 of Prof. Lee's notes | Guest lecture, Dr. Yun-Shik Lee - Separation of variables to get Legendre polynomials | hw4_soln.pdf | |

Day | Topic | Reading | Summary | Assignments | |

13 | M 10/26 | Summation of orthogonal functions | Chpt 3 of Prof. Lee's notes | day13_2015.pdf Recap: functions that are solutions to the Laplace equation and are separable in a given coordinate system. Pop quiz, the orthogonality relation for Legendre polynomials. Using summation of orthogonal functions to solve an electrostatics problem in spherical coordinates. | hw5 |

14 | W 10/28 | Summation of orthogonal functions | Chpt 3 of Prof. Lee's notes | day14_2015.pdf Solving the two metal hemispheres problem. Pop quiz: Practice using orthogonality relationships. | |

15 | F 10/30 | Multipole expansion | Chpt 3 of Prof. Lee's notes | day15_2015.pdf Pop quiz about monopole expansion. Introduction to multipole expansions - illustrating the connection between r-dependence and theta-dependence. | hw5 soln |

Day | Topic | Reading | Summary | Assignments | |

16 | M 11/2 | Multipole expansion | Chpt 3 of Prof. Lee's notes | day16_2015.pdf | mid_term_2014.pdf |

17 | W 11/4 | Review | day17_2015.pdf — quiz_collection_week1to6_2015.pdf — pop_quize_mulltipole_expansion.pdf | ||

18 | F 11/6 | MIDTERM | |||

Day | Topic | Reading | Summary | Assignments | |

19 | M 11/9 | day19_2015.pdf Calculating dipole moment of an arbitrary charge distribution. Electric field from a dipole. Motivation for studying polarizable material. | hw6 | ||

W 11/11 | VETERAN'S DAY | no class | |||

20 | F 11/13 | Polarizable material | day20_2015.pdf Microscopic origin of dipoles in materials. Estimate atomic polarizability. Superposition of potentials from a continuous distribution of dipoles. Definition of P, polarization of matter. | hw6 solns | |

Day | Topic | Reading | Summary | Assignments | |

21 | M 11/16 | day21_2015.pdf Potential generated by polarized matter. Similarity between integral equation with bound charge and integral equation with free charge. Breaking up the bound charge integral - surface integral plus volume integral. | |||

22 | W 11/18 | day22_2015.pdf Using the idea of bound surface charge density: potential generated by a sphere that carries uniform polarization. Combining free charge and polarizable matter: A new version of the Poisson equation that accounts for polarization. | hw7 | ||

23 | F 11/20 | day23_2015.pdf Derive the first of Maxwell's equations for fields in matter. Problems where displacement can be calculated with a Gaussian surface. Linear dielectrics and electric susceptibilty. Calculating the E-field and the polarization. | |||

Day | Topic | Reading | Summary | Assignments | |

24 | M 11/23 | day24_2015.pdf Analyze parellel plate capacitor with two different dielectric layers inside. Metals have infinite electric susceptibility. Introduce the dielectric constant. Boundary conditions at dielectric interfaces. | hw7soln_2015.pdf | ||

25 | W 11/25 | day25_2015.pdf Crystal ball inside a parallel plate capacitor: using boundary conditions to solve problems that involve dielectric interfaces. | hw8 hw8 clarified | ||

F 11/27 | THANKSGIVING | No class | |||

Day | Topic | Reading | Summary | Assignments | |

26 | M 11/30 | day26_2015.pdf Point charge above a dielectric slab. Method of images come to the rescue again. | |||

27 | W 12/2 | day27_2015.pdf Energy of the system. Calculating work done assembling the charge distribution, one charge at a time. Forces on dielectrics - position dependent expression for energy. | |||

28 | F 12/4 | day28_2015.pdf Summary and preview of next quarter. Discuss relationship to some modern research examples. popquiz_packet_wk7-10_2015.pdf | hw8soln_2015.pdf |