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


1M 9/28Poisson EqChpt 1 of Prof. Lee's notesday1_2015.pdf Poisson Eq: Defining the terms. Functions that satisfy the Poisson equation. Derive Gauss's law. hw1
2W 9/30Superposition principle Chpt 1 of Prof. Lee's notesday2_2015.pdf Dimensional reasoning. Laplacian of Coulomb potential. Superposition of Coulomb potentials.
3F 10/2Using 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
4M 10/5Green's function day4_2015.pdf Derive the Green's function integral for finding potential when charge distribution is known. Practice applying the technique.hw2
5W 10/7Method of ImagesChpt 2 of Prof. Lee's notesday5_2015.pdf Mapping a “type II” electrostatics problem onto a “type I” electrostatics problem. Examples.
6F 10/9Method of ImagesChpt 2 of Prof. Lee's notesday6_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
7M 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
8W 10/14 Python coding
9F 10/16 Chpt 3 of Prof. Lee's notesday9_2015.pdf Summary of relaxation method for numerical solutions. Reminder of the big picture. Summation of orthogonal functions.hw3soln_2015.pdf
10M 10/19 Chpt 3 of Prof. Lee's notesday10_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
11W 10/21 Chpt 3 of Prof. Lee's notesGuest lecture, Dr. Yun-Shik Lee -
12F 10/23 Chpt 3 of Prof. Lee's notesGuest lecture, Dr. Yun-Shik Lee - Separation of variables to get Legendre polynomialshw4_soln.pdf
13M 10/26Summation of orthogonal functionsChpt 3 of Prof. Lee's notesday13_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
14W 10/28Summation of orthogonal functionsChpt 3 of Prof. Lee's notesday14_2015.pdf Solving the two metal hemispheres problem. Pop quiz: Practice using orthogonality relationships.
15F 10/30Multipole expansionChpt 3 of Prof. Lee's notesday15_2015.pdf Pop quiz about monopole expansion. Introduction to multipole expansions - illustrating the connection between r-dependence and theta-dependence. hw5 soln
16M 11/2Multipole expansionChpt 3 of Prof. Lee's notesday16_2015.pdf mid_term_2014.pdf
17W 11/4Review day17_2015.pdfquiz_collection_week1to6_2015.pdfpop_quize_mulltipole_expansion.pdf
19M 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 11/11VETERAN'S DAY no class
20F 11/13Polarizable 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
21M 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.
22W 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
23F 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.
24M 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
25W 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 11/27THANKSGIVING No class
26M 11/30 day26_2015.pdf Point charge above a dielectric slab. Method of images come to the rescue again.
27W 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.
28F 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

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