# Previous Year

#### Winter 2015

#### PH632: Electromagnetic Theory II

**Instructor (Winter 2015):**Prof. Ethan Minot**Office:**Weniger 417**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

Week1 | Day | Topic | Reading | Summary | Assignments |
---|---|---|---|---|---|

M 1/5 | PHYSICS COMP EXAM | No class | |||

1 | W 1/7 | curl(B)=u0*J | Chpt 5 of Prof. Lee's notes | day1.pdf lecture notes: Practice applying Biot-Savart law. B at center of current loop. B-field around an infinite wire. | hw1ph632_2015.pdf |

2 | F 1/9 | curl(B)=u0*J | Chpt 5 of Prof. Lee's notes | day2.pdf lecture note: “Version 2” of the Biot-Savart law. Working with magnetic vector potential. | |

Week2 | Day | Topic | Reading | Summary | Assignments |

3 | M 1/12 | Current loops | Chpt 5 of Prof. Lee's notes | day3.pdf lecture notes: Magnetic vector potential of a current loop. The dipole field far from a current loop. Magnetic dipole moment. | hw2ph632y15.pdf |

4 | W 1/14 | Magnetic dipole moment | Chpt 5 of Prof. Lee's notes | day4b.pdf lecture notes: Multipole expansion of magnetic vector potential from a localized distribution of current. The leading order term predicts a dipole field at large distance. Expression for dipole moment. | |

5 | F 1/16 | Magnetic materials | Chpt 5 of Prof. Lee's notes | day5.pdf lecture notes: How magnetic dipoles arise inside of materials. Paramagnetic, ferromagnetic, anti-ferromagnetic and diamagnetic materials. Dipole moment of an electron. Classical relationship between angular momentum and magnetic dipole moment. Superposition of dipole fields. | hw2solns.pdf |

Week3 | Day | Topic | Reading | Summary | Assignments |

M 1/19 | MLK HOLIDAY | NO CLASS | hw3ph632y15.pdf | ||

6 | W 1/21 | Magnetic materials | Chpt 5 of Prof. Lee's notes | day6.pdf lecture notes: Superposition of dipole fields. Strength of a fully polarized magnetic material. Differential equation for magnetostatics contain both M and J_free. Visualizing the curl of a vector field. | |

7 | F 1/23 | Magnetic materials | Chpt 5 of Prof. Lee's notes | day7.pdf lecture notes: Accounting for the linear response of paramagentic and diamagnetic materials when solving for B. Forces on magnetic dipoles and magnetic materials. Levitating the frog. | hw3solns.pdf |

Week4 | Day | Topic | Reading | Summary | Assignments |

8 | M 1/26 | MID TERM at 9am | ph632_mid_term_2015.pdf | ||

9 | W 1/28 | Inductance | Chpt 5 of Prof. Lee's notes | Dr. Lee, guest lecturer: Faraday's law (changing B field creates E field). Self-inductance. Mutual Inductance. | |

10 | F 1/30 | Inductance | Chpt 5 of Prof. Lee's notes | Dr. Lee, guest lecturer: Energy stored in inductor. | |

Week5 | Day | Topic | Reading | Summary | Assignments |

11 | M 2/2 | Maxwell eqs in matter | Chpt 6 of Prof. Lee's notes | Dr. Roundy, guest lecturer: Displacement current. Maxwell's equation in medium. Gauge transformations. | hw4ph632y15.pdf |

12 | W 2/4 | Maxwell eqs in matter | Chpt 6 of Prof. Lee's notes | Dr. Roundy, guest lecturer: Lorentz gauge and Coulomb gauge. | |

13 | F 2/6 | Maxwell eqs in matter | Chpt 6 of Prof. Lee's notes | Dr. Roundy, guest lecturer: The macroscopic field (used for E&M calculation) is equal to the local average of the microscopic field. Poynting's theorem. | hw4solns.pdf |

Week6 | Day | Topic | Reading | Summary | Assignments |

14 | M 2/9 | Energy flow | Chpt 6 of Prof. Lee's notes | Dr. Jansen, guest lecturer: Flow of energy in E&M fields. | hw5ph632y15.pdf |

15 | W 2/11 | Energy flow | Chpt 6 of Prof. Lee's notes | Dr. Jansen, guest lecturer: Poynting vector applied to resistive wire. | |

16 | F 2/13 | Energy flow | Chpt 6 of Prof. Lee's notes | Dr. Jansen, guest lecturer: Time averaged Poynting vector for harmonic fields. | hw5solns.pdf |

Week7 | Day | Topic | Reading | Summary | Assignments |

17 | M 2/16 | PRESIDENT'S DAY HOLIDAY | NO CLASS | hw6ph632y15.pdf | |

18 | W 2/18 | REVIEW | Chpt 6 of Prof. Lee's notes | Review of last 3 weeks. pop quiz #1, pop quiz #2 | |

19 | F 2/20 | EM plane waves | Chpt 7 of Prof. Lee's notes | day19.pdf lecture notes: Discussion of homework problem concerning time dependent E-field and B-field inside a capacitor. Electromagnetic plane waves: the wave equation arises from Maxwell's equations. | hw6solns.pdf |

Week8 | Day | Topic | Reading | Summary | Assignments |

20 | M 2/23 | EM plane waves | Chpt 7 of Prof. Lee's notes | day20.pdf lecture notes: Constraining the polarization of plane waves. Relationship between the E-field and B-field components. The speed of light in materials. | hw7ph632y15.pdf |

21 | W 2/25 | EM plane waves | Chpt 7 of Prof. Lee's notes | day21.pdf lecture notes: Energy flux of electromagnetic plane wave. Reflection and transmission of plane wave at normal incidence. | |

22 | F 2/27 | EM plane waves | Chpt 7 of Prof. Lee's notes | day22.pdf lecture notes: Energy flux in and out of interface. Snell's law follows from phase matching. Reflection as a function of angle. s-polarization. p-polarization. | hw7solns.pdf |

Week9 | Day | Topic | Reading | Summary | Assignments |

23 | M 3/2 | EM plane waves | Chpt 7 of Prof. Lee's notes | day23.pdf lecture notes: Brewster angle. Total internal reflection. Circularly polarized light. Intro to EM waves in conductors. | hw8ph632y15b.pdf |

24 | W 3/4 | EM plane waves | Chpt 7 of Prof. Lee's notes | day24.pdf lecture notes: For conductive material, derive expression for the complex wave vector and (therefore) complex refractive index. Define skin depth. | |

25 | F 3/6 | EM plane waves | Chpt 7 of Prof. Lee's notes | day25.pdf lecture notes: Quantum transitions can be described by a classical optical conductivity. Optical conductivity of metals, first approximation derived using Drude model. | |

Week10 | Day | Topic | Reading | Summary | Assignments |

26 | M 3/9 | EM plane waves | Chpt 7 of Prof. Lee's notes | day26.pdf lecture notes: Poynting vector in conducting material (careful handling of complex notation). Energy build-up in conducting material. | |

27 | W 3/11 | EM plane waves | Wikipedia, rainbow | day27.pdf lecture notes: Rainbows. The refraction and reflection of light by a rain drop. The refractive index changes slightly with the frequency of the light. The “charge on a spring” model for dielectric constant. Refractive index depends on dielectric constant. | hw8solns.pdf |

28 | F 3/13 | REVIEW |