# PHYS 421

PHYS 421: Electromagnetic Theory

Three hours lecture (4).

Prerequisites: MATH 172, PHYS 303

The fundamentals of electromagnetic theory are presented. The course will focus on the development of Maxwell’s equations beginning with statics and progressing to dynamics, including the physical nature of electromagnetic radiation.

Detailed Description of Course

This course develops classical electromagnetic theory as formulated by Maxwell’s equations.  Although the approach is mathematical and theoretical, there are numerous real-world applications explored throughout the course.  Vector calculus is used extensively.

Topics covered in Physics 421

1.Vector Analysis

a.Differential vector calculus

b.Integral vector calculus

c.Curvilinear coordinates

d.Dirac Delta function

2.Electrostatics

a.Electric field and force

b.Divergence and curl of electrostatic fields

c.Electric potential

d.Work and energy

e.Conductors

3.Potentials

a.Laplace’s equation

b.Method of images

c.Separation of variables

d.Multipole expansion

4.Electric fields in matter

a.Polarization

b.Electric displacement

c.Linear dielectrics

5.Magnetostatics

a.Lorentz force law

b.Biot-Savart law

c.Divergence and curl of the magnetic field

d.Magnetic vector potential

6.Magnetic fields in matter

a.Magnetization

b.The auxiliary field

c.Linear and nonlinear media

7.Electrodynamics

a.Electromotive force

b.Electromagnetic induction

c.Maxwell’s equations

8.Electromagnetic waves

a.Waves in one dimension

b.Electromagnetic waves in vacuum

c.Electromagnetic waves in matter

d.Absorption and dispersion

Detailed Description of Conduct of Course

The amount of material presented in this course and the formal mathematical nature of much of this material requires a heavy dependence on standard lecture presentation. However, as in all physics courses, problem solving will be emphasized, and considerable lecture time will be devoted to problem solving strategies, the presentation of example problems, and the discussion of assigned problems.

Goals and Objectives of the Course

To build a knowledge base about electromagnetic theory, how the mathematical framework was determined, and ability to use this knowledge to solve mathematical and applied problems.

Assessment Measures

Students will be evaluated based on their performance on a combination of regular weekly homework assignments, midterm examinations, and a comprehensive final exam.  Other assessments and methods may be used as determined by the instructor.

Other Course Information

None.

Review and Approval

March 1, 2018
Name Revised March 8, 2006
January 2006 Walter S. Jaronski