Physics 401
Spring 2021

Electricity and Magnetism I 

Course Materials:

• Week 0: 1/27                   Review of Vector Calculus, part 1 [Chpt 1]
  Syllabus
  Overheads for Wednesday, January 27
  Lecture 1, Wednesday, January 27 review of vector fields, vector products, gradient operator.
  
  Problem Set 1 due Wednesday, February 3
  
  
  
• Week 1: 2/1-3              Review of Vector Calculus, part 2 [Chpt 1]
  Lecture 2, Monday, February 1 review of divergence, curl, and vector integrals.
  Lecture 3, Wednesday, February 3 review of vector integral theorems and spherical coordinates.
  
  Problem Set 2 due Wednesday, February 10
  
  
  
• Week 2: 2/8-2/10              Electrostatics, part 1 [Chpt 2]
  Lecture 4, Monday, February 8 Spherical coordinates, divergence conundrum, Helmholtz theorem.
  Lecture 5, Wednesday, February 10 Coulomb's law, electric fields, continuous charge distributions.
  Overhead slides (Feb. 10) Pillars of electrostatics.
  
  Useful vector calculus formulas: Grad, div, curl, spherical & cylindrical coordinates (from Griffiths textbook)
  
  
  
• Week 3: 2/15-17                  Electrostatics, part 2 [Chpt 2]
  Lecture 6, Monday, February 15 Line charge example, Gauss's law, E-field of charged solid sphere.
  Lecture 7, Wednesday, February 17 Field of a plane of charge, electric potential, potential of a charged shell.
  
  Problem Set 3 due Wednesday, February 24
  
  
  
• Week 4: 2/22-24                  Electrostatics, part 3 [Chpt 2]
  Lecture 8, Monday, February 22 Poisson's & Laplace's equations, electrostatic energy.
  Lecture 9, Wednesday, February 24 Electrostatic energy, conductors, electrostatic shielding.
  
  Problem Set 4 due Wednesday, March 3
  
  
  
• Week 5: 3/1-3                  Potentials & Solution Methods, part 1 [Chpt 3]
  Lecture 10, Monday, March 1 Capacitors, uniqueness theorems, method of images.
  Lecture 11, Wednesday, March 3 Method of images, separation of variables (Cartesian) .
  
  Problem Set 5 due Wednesday, March 10
  
  
  
• Week 6: 3/8-10                  Potentials & Solution Methods, part 2 [Chpt 3]
  Lecture 12, Monday, March 8 Separation of variables (Cartesian symmetry).
  Lecture 13, Wednesday, March 10 Separation of variables (spherical) .
  
  
  
• Week 7: 3/15                  Midterm
  Midterm will be held Monday, March 15, 5-6:20 pm.
  - Section 1 students will have test in Small Hall room 110.
  - Section 2 students will have test on-line with Zoom proctoring.
  - Test submission (all students): Gradescope.
  
  Summary of topics on midterm test
  Formula sheet available as part of test.
  Formula study sheet has useful formulas for the test, but will NOT be available as part of test.
  
  Problem Set 6 due Wednesday, March 24
  
  
  
• Week 8: 3/22-24                  Potentials & Solution Methods, part 3 [Chpt 3]
  Lecture 14, Monday, March 22 Separation of variables examples (spherical symmetry).
  Lecture 15, Wednesday, March 24 Multipole expansion and dipole moment.
  
  Problem Set 7 due Wednesday, March 31
  
  
  
• Week 9: 3/29-31                  Electrostatics in Matter, part 1 [Chpt 4]
  Lecture 16, Monday, March 29 Forces on dipoles, polarizability of matter.
  Overhead slides (March 29) Quasi-static laser dipole trap.
  Lecture 17, Wednesday, March 31 Bound charges & polarization, electric displacement.
  
  Problem Set 8 due Wednesday, April 14
  
  
  
• Week 10: 4/5-7                  Electrostatics in Matter, part 2 [Chpt 4]
  Lecture 18, Monday, April 5 Linear dielectrics, dielectric sphere in a uniform field.
  
  
  
• Week 11: 4/12-14                  Magnetostatics, part 1 [Chpt 5]
  Lecture 19, Monday, April 12 Dielectric sphere (continued), forces, energy, and capacitors with dielectrics.
  Lecture 20, Wednesday, April 14 Lorentz force law, cyclotron motion, no magnetic work, Biot-Savart law.
  
  Problem Set 9 due Wednesday, April 21
  
  
  
• Week 12: 4/19-21                  Magnetostatics, part 2 [Chpt 5]
  Lecture 21, Monday, April 19 Biot-Savart law, divergence & curl, Ampere's law.
  Lecture 22, Wednesday, April 21 Ampere's law, solenoid, toroid, vector potential.
  
  Problem Set 10 due Friday, April 30
  
  
  
• Week 13: 4/28                  Magnetostatics, part 3 [Chpt 5]
  Lecture 23, Wednesday, April 28 Magnetic vector potential example, mulitpole expansion, dipole moment.
  
  
  
• Week 14: 4/28                  Magnetostatics in Matter [Chpt 6]
  Lecture 24, Monday, May 3 Anti-Helmholtz coils, forces on dipoles, magnetism in matter.
  Lecture 25, Wednesday, May 5 Field at a surface, bound currents, auxiliary field H, linear magnetic materials.
  
  
  
• Week 15: 5/11                  FINAL EXAM
  Final Exam will be held Tuesday, May 11, 7-10 pm.
  - Section 1 students will have test in Small Hall room 110.
  - Section 2 students will have test on-line with Zoom proctoring.
  - Test submission (all students): Gradescope.
  
  Final exam topics
  Formula study sheet (corrected) has useful formulas for the Final Exam, but will NOT be available as part of test.
  Formula sheet available as part of test.