PHYSICS 225 -- INTERMEDIATE ELECTRICITY AND MAGNETISM I

Level

Electromagnetic Fields by Wangsness
Electromagnetic Fields and Waves by Lorrain and Corson

Prerequisite

Physics 132 or 142; Math 221 or 205

Syllabus

1. Review of Introductory Electrostatics
   
   1. Review of vector calculus
      
   2. Coulomb's law, electrostatic field and potential
      
   3. Gauss's law, Poisson's equation, Laplace's equation
      
   4. Multipoles
      
   5. Capacitance, potential energy of charge distribution, forces on conductors
      
2. Dielectrics
   
   1. Polarization vector, displacement vector, electric susceptibility
      
   2. Calculation of electrostatic fields inside and outside a dielectric
      
   3. Clausius-Mosotti equation, polar molecules
      
   4. Potential energy of a charge distribution and forces on dielectrics
      
3. Boundary Value Problems
   
   1. Boundary conditions, the uniqueness theorem
      
   2. Image charges
      
   3. Solutions to Laplace's equations
      
4. Magnetostatics
   
   1. Biot-Savart law, magnetic induction, the Lorentz force
      
   2. V B=0, the vector potential
      
   3. The curl of B, Ampere's law
      
   4. The magnetic dipole, magnetic force and torque
      
5. Magnetic Materials
   
   1. M, H, and B
      
   2. Paramagnetism, diamagnetism
      
   3. Ferromagnetism and hysteresis
      
   4. Boundary conditions for magnetic materials
      

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PHYSICS 227 -- INTERMEDIATE ELECTRICITY AND MAGNETISM II

Level

Electromagnetic Fields by Wangsness
Electromagnetic Fields and Waves by Lorrain & Corson
Classical Electromagnetic Radiation by Marion

Prerequisite

Physics 225 or equivalent

Syllabus

1. Faraday's Law of Induction
   
   1. Faraday's Law in moving and stationary media
      
   2. Inductance, self-inductance
      
   3. Energy stored in a magnetic field
      
   4. Magnetic forces, changes in magnetic energy
      
2. Maxwell's Equations
   
   1. Current conservation; the displacement current
      
   2. Maxwell's equations in vacuum and in LIH media
      
   3. The Poynting vector, energy flow, EM momentum
      
   4. Scalar and Vector Potentials
      
   5. Gauge transformation
      
3. Plane Electromagnetic Waves
   
   1. Deviation of the wave equation
      
   2. Waves in conducting and non-conducting media
      
   3. Transmission lines; wave guides
      
   4. Waves in a plasma
      
   5. Polarization (linear and circular)
      
4. Reflection and Refraction of EM Waves
   
   1. Snell's Law
      
   2. Fresnel's equations
      
   3. Radiation pressure
      
5. Radiation
   
   1. Retarded potentials and multipole expansion
      
   2. Lienard-Wiechert Potentials
      
   3. Radiation from a moving charge
      
6. Special Relativity
   
   1. Lorentz transformation
      
   2. 4-vectors
      
   3. Maxwell's equations in invariant form
      
   4. 4-vectors; Coulomb's law revisited
      

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