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


1W 1/7curl(B)=u0*JChpt 5 of Prof. Lee's notesday1.pdf lecture notes: Practice applying Biot-Savart law. B at center of current loop. B-field around an infinite wire. hw1ph632_2015.pdf
2F 1/9curl(B)=u0*JChpt 5 of Prof. Lee's notesday2.pdf lecture note: “Version 2” of the Biot-Savart law. Working with magnetic vector potential.
3M 1/12Current loopsChpt 5 of Prof. Lee's notesday3.pdf lecture notes: Magnetic vector potential of a current loop. The dipole field far from a current loop. Magnetic dipole moment.hw2ph632y15.pdf
4W 1/14Magnetic dipole momentChpt 5 of Prof. Lee's notesday4b.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.
5F 1/16Magnetic materialsChpt 5 of Prof. Lee's notesday5.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
M 1/19MLK HOLIDAY NO CLASS hw3ph632y15.pdf
6W 1/21Magnetic materialsChpt 5 of Prof. Lee's notesday6.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.
7F 1/23Magnetic materialsChpt 5 of Prof. Lee's notesday7.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
8M 1/26MID TERM at 9am ph632_mid_term_2015.pdf
9W 1/28InductanceChpt 5 of Prof. Lee's notesDr. Lee, guest lecturer: Faraday's law (changing B field creates E field). Self-inductance. Mutual Inductance.
10F 1/30InductanceChpt 5 of Prof. Lee's notesDr. Lee, guest lecturer: Energy stored in inductor.
11M 2/2Maxwell eqs in matterChpt 6 of Prof. Lee's notesDr. Roundy, guest lecturer: Displacement current. Maxwell's equation in medium. Gauge transformations. hw4ph632y15.pdf
12W 2/4Maxwell eqs in matterChpt 6 of Prof. Lee's notesDr. Roundy, guest lecturer: Lorentz gauge and Coulomb gauge.
13F 2/6Maxwell eqs in matterChpt 6 of Prof. Lee's notesDr. 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
14M 2/9Energy flowChpt 6 of Prof. Lee's notesDr. Jansen, guest lecturer: Flow of energy in E&M fields. hw5ph632y15.pdf
15W 2/11Energy flowChpt 6 of Prof. Lee's notesDr. Jansen, guest lecturer: Poynting vector applied to resistive wire.
16F 2/13Energy flowChpt 6 of Prof. Lee's notesDr. Jansen, guest lecturer: Time averaged Poynting vector for harmonic fields.hw5solns.pdf
17M 2/16PRESIDENT'S DAY HOLIDAY NO CLASS hw6ph632y15.pdf
18W 2/18REVIEWChpt 6 of Prof. Lee's notesReview of last 3 weeks. pop quiz #1, pop quiz #2
19F 2/20EM plane wavesChpt 7 of Prof. Lee's notesday19.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
20M 2/23EM plane wavesChpt 7 of Prof. Lee's notesday20.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
21W 2/25EM plane wavesChpt 7 of Prof. Lee's notesday21.pdf lecture notes: Energy flux of electromagnetic plane wave. Reflection and transmission of plane wave at normal incidence.
22F 2/27EM plane wavesChpt 7 of Prof. Lee's notesday22.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
23M 3/2EM plane wavesChpt 7 of Prof. Lee's notesday23.pdf lecture notes: Brewster angle. Total internal reflection. Circularly polarized light. Intro to EM waves in conductors.hw8ph632y15b.pdf
24W 3/4EM plane wavesChpt 7 of Prof. Lee's notesday24.pdf lecture notes: For conductive material, derive expression for the complex wave vector and (therefore) complex refractive index. Define skin depth.
25F 3/6EM plane wavesChpt 7 of Prof. Lee's notesday25.pdf lecture notes: Quantum transitions can be described by a classical optical conductivity. Optical conductivity of metals, first approximation derived using Drude model.
26M 3/9EM plane wavesChpt 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.
27W 3/11EM plane wavesWikipedia, rainbowday27.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
28F 3/13REVIEW