Phys 3330 Electricity and Magnetism I
Fall 2018


Introduction

This, the first semester of the PHYS 3320/3330 Electricity and Magnetism sequence, is primarily concerned with setting up Maxwell's Equations
  • divD = ρ
  • divB = 0
  • curlE = - ∂B/∂t
  • curlH = J + ∂D/∂t
As such we shall cover roughly the same topics that we covered in Phys 2260 General Physics II (or its equivalent), but at a much greater depth. As such you will need a considerable portion of the material that we covered in Phys 3010 Mathematical Physics, especially vectors and vector calculus. In addition many of the problems that we shall look at are solved using polar coordinates, so please review those coordinate systems.

The second semester (Phys 3330) looks at solving Maxwell's equations, first for time independent fields, and then for time dependent fields (electromagnetic waves). It is critical that those students contemplating graduate school take this class.

Required mathematics

Solutions of Maxwell's Equations relies on knowledge of the appropriate mathematics, all of which we covered in PHYS 3010 Mathematical Physics I. I will review as appropriate, but it is also to your advantage to review the following ahead of time
  • Vector calculus
    • definition of the vector derivatives (gradient, divergence, and curl) and their expressions in the different coordinate systems.
    • Divergence Theorem
    • Stokes' Theorem
  • Polar coordinates
    • position vectors
    • line, area, and volume elements in cylindrical and spherical polar coordinates
    • vector notation in cylindrical and spherical polar coordinates
    • conversion between the different coordinate systems

Assignments

Test Schedule

Test dates are to be determined according to the rate of coverage of material. Each test, except the first, will consist of an in class portion worth 30% of the points for that test, and a take home portion worth the remaining portion. The take home portions will be due at the beginning of the following class, and must be your individual effort. Collaboration is permitted on homework assignments.
 
Test # Topics Points Points Points
in class
take home
total
1
Electrostatics 1
and Mathematics
6
14
20
2
Electrostatics 2
6
14
20
3
Magnetostatics
6
14
20
4 Electromagnetism 6 14 20
Final
Comprehensive
6
14
20
 
Assignments
 
 
20
 
Total
 
 
120

 

Class Material

From the text (Introduction to Electrodynamics by David J. Griffiths) we shall be covering chapters 1 and 2, section 4 only of chapter 3, and chapters 4 to 7. Phys 3330 Electricity and Magnetism II will cover chapter 3 sections 1-3 and chapters 8, 9, and 10. The topic list for this semester is as follows.
  • Review of Mathematics
    • Coordinate systems
    • Conversion between coordinate systems
    • Area and volume elements
    • Vector Derivatives
      • Expressions in each of the three coordinate systems
  • Electrostatics
    • Coulomb's Law
      • Point charge
      • Multiple point charges
        • dipole and quadruple
      • Distributed charges
    • Electrostatic potential
    • Gauss' Law = Maxwell's 1st equation
      • Integral and differential forms
    • Dielectrics
      • Induced dipole moments
        • non-polar
        • polar
      • Polarization
      • Displacement field and equivalent bound charges
  • Magnetostatics
    • Biot-Savart Law
      • volume and surface currents
    • Magnetic Flux Law = Maxwell's 2nd equation
      • Integral and differential forms
    • Ampere's Law = restricted form of Maxwell's 4th equation
      • Integral and differential forms
    • Magnetic materials
      • Induced dipole moments
        • diamagnetism
        • paramagnetism
        • ferromagnetism
      • Magnetization
      • Induction field and equivalent bound currents
  • Electromagnetism
    • Charges and currents
      • Continuity equation
    • Faraday's Law = Maxwell's 3rd equation
    • Maxwell's 4th equation (complete)